2000

[1] Silling, S. A., “Reformulation of Elasticity Theory for Discontinuities and Long-range Forces,” Journal of the Mechanics and Physics of Solids, Vol. 48, 2000, pp. 175-209.

2003

[2] Silling, S.A., Zimmermann, M. and Abeyaratne, R., “Deformation of a peridynamic bar,” J. Elasticity, Vol. 73, 2003,  pp. 173–190.

2005

[3] Silling, S. A. and Bobaru, F., “Peridynamic modeling of membranes and fibers,” International Journal of Non-linear Mechanics, Vol. 40, 2005, pp. 395-409.

[4] Weckner, O. and Abeyaratne, R., “The Effect of Long-Range Forces on the Dynamics of a Bar,” Journal of the Mechanics and Physics of Solids, Vol. 53, No. 3, 2005,  pp. 705–728.

[5] Weckner, O. and Emmrich, E., “Numerical Simulation of the Dynamics of a Nonlocal, Inhomogeneous, Infinite Bar,” Journal of Computational and Applied Mechanics, Vol. 6, No. 2, 2005,  pp. 311–319.

[6] Silling, S.A. and Askari, A., “A Meshfree Method Based on the Peridynamic Model of Solid Mechanics,” Computers & Structures,  Vol. 83, No. 17–18, 2005,  pp. 1526–1535.

2006

[7] Dayal, K. and Bhattacharya K.,  “Kinetics of phase transformations in the peridynamic formulation of continuum mechanics”. Journal of the Mechanics and Physics of Solids, Vol. 54, 2006, pp. 1811-1842.

2007

[8] Emmrich, E. and Weckner, O., “Analysis and Numerical Approximation of an Integro-differential Equation Modeling Non-local Effects in Linear Elasticity,” Mathematics and Mechanics of Solids, Vol. 12, 2007, pp. 363-384.

[9] Silling, S.A,, Epton, M., Weckner, O. , Xu, J.  and Askari, A, “Peridynamics States and Constitutive Modeling,” Journal of Elasticity, Vol. 88, No. 2, 2007, pp. 151-184.

[10] Emmrich, E. and Weckner, O., “On the Well-posedness of the Linear Peridynamic Model and Its Convergence Towards the Navier Equation of Linear Elasticity,” Communications in Mathematical Sciences, Vol. 5, No. 4, 2007, pp. 851-864.  

[11] Weckner , O. and Emmrich, E., “The Peridynamic Equation and its Spatial Discretization,” Journal of Mathematical Modeling and Analysis, Vol. 12, No. 1, 2007, pp. 17-27.  

[12] Bobaru, F. “Influence of Van Der Waals Forces on Increasing the Strength and Toughness in Dynamic Fracture of Nanofiber Networks: A Peridynamic Approach”, Modeling and Simulation in Materials Science and Engineering , Vol. 15, 2007, pp. 397-417.

[13] Macek, R. W. and Silling, S. A., "Peridynamics via Finite Element Analysis," Finite Elements in Analysis and Design, Vol. 43, No. 15,  2007, pp. 1169-1178.

[14] Gerstle, W., Sau, N. and Silling, S.  "Peridynamic Modeling of Concrete Structures," Nuclear Engineering and Design, Vol. 237, No.  12-13,  2007, pp. 1250-1258.

[15] Demmie, P. N. and Silling, S. A.  "An Approach to Modeling Extreme Loading of Structures using Peridynamics," Journal of Mechanics of Materials and Structures, Vol. 2, No.  10,  2007, pp. 1921-1945.

2008/2009

[16] Xu, J., Askari, A., Weckner, O. and Silling, S. A., “Peridynamic Analysis of Impact Damage in Composite Laminates,” Journal of Aerospace Engineering,  Vol. 21, No. 3, 2008, pp. 187-194.

[17] Warren, T. L., Silling, S. A., Askari, A., Weckner, O., Epton, M. A. and Xu, J., “A Non-ordinary State-based Peridynamic Method to Model Solid Material Deformation and Fracture,” International Journal of Solids and Structures, Vol. 46, 2009, pp. 1186-1195.

[18] Bobaru, F., Yang, M., Alves, L. F., Silling, S. A., Askari, E. and Xu, J., “Convergence, Adaptive Refinement, and Scaling in 1D Peridynamics,” International Journal for Numerical Methods in Engineering, Vol. 77, 2009, pp. 852-877.

[19] Lehoucq, R. B. and Silling, S. A., “Force Flux and the Peridynamic Stress Tensor,” Journal of the Mechanics and Physics of Solids, Vol. 56, 2008, pp. 1566–1577.

[20] Silling, S. A. and Lehoucq, R. B., “Convergence of Peridynamics to Classical Elasticity Theory,” Journal of Elasticity, 2008

[21] Kilic, B., Agwai, A. and Madenci, E., “Peridynamic Theory for Progressive Damage Prediction in Centre-Cracked Composite Laminates” Composite structures, Vol. 90, 2009, pp. 141-151.

[22] Kilic, B., and Madenci, E., “Prediction of Crack Paths in a Quenched Glass Plate by Using Peridynamic Theory,” International Journal of Fracture, Vol. 156, 2009, pp. 165-177.

[23] Kilic, B., and Madenci, E., “Structural Stability and Failure Analysis Using Peridynamic Theory,” International Journal of Non-Linear Mechanics, Vol. 44, 2009, pp. 845-854.

[24] Weckner, O., Brunk, G., Epton, M. A., Silling, S. A. and Askari, E., “Green’s Functions in Non-local Three-dimensional Linear Elasticity,” Proceedings of the Royal Society A, Vol. 465, 2009, pp. 3463-3487.

[25] Seleson, P., Parks, M. L., Gunzburger, M. and Lehocq, R. B., “Peridynamics as an Upscaling of Molecular Dynamics,” Multiscale Modeling and Simulation, Vol. 8, No. 1, 2009, pp. 204-227.

2010

[26] Kilic, B., and Madenci, E., “Peridynamic Theory for Thermomechanical Analysis,” IEEE Transactions on Advanced Packaging, Vol. 33, 2010, pp. 97-105.

[27] Kilic, B., and Madenci, E., “An Adaptive Dynamic Relaxation Method for Quasi-static Simulations using the peridynamic theory,” Theoretical and Applied Fracture Mechanics, Vol. 53, 2010, pp. 194-201.

[28] Kilic, B., and Madenci, E., “Coupling of Peridynamic Theory and Finite Element Method,” Journal of Mechanics of Materials and Structures, Vol. 5, 2010, pp. 707–733.

[29] Aksoy, H. G., and Senocak, E. S., “Discontinuous Galerkin Method Based on Peridynamic Theory,” IOP Conf. Series: Materials Science and Engineering, Vol. 10, 2010, 012227.

[30] Aksoylu, B., and Mengesha, T., “Results on Nonlocal Boundary Value Problems,” Numerical Functional Analysis and Optimization, Vol. 31, 2010, pp. 1301-1317.

[31] Bobaru, F., and Duangpanya, M., “The Peridynamic Formulation for Transient Heat Conduction,” International Journal of Heat and Mass Transfer, Vol. 53, 2010, pp. 4047-4059.

[32] Foster, J. T., Silling, S. A. and Chen, W. W., “Viscoplasticity Using Peridynamics,” International Journal for Numerical Methods in Engineering, Vol. 81, 2010, pp. 1242-1258.

[33] Ha, Y. D. and Bobaru, F., “Studies of Dynamic Crack Propagation and Crack Branching with Peridynamics,” International Journal of Fracture, Vol. 162, 2010, pp. 229-244.

[34] Silling, S. A., “Linearized Theory of Peridynamic States,” Journal of Elasticity, Vol. 99, 2010, pp. 85-111.

[35] Silling, S. A., Weckner, O., Askari, A. and Bobaru, F., “Crack Nucleation in a Peridynamic Solid,” International Journal of Fracture, Vol. 162, 2010, pp. 219-227.

[36] Silling, S. A. and Lehoucq, R. B., “Peridynamic Theory of Solid Mechanics,” Advances in Applied Mechanics, Vol. 44, 2010, pp. 73-168.

2011

[37] Celik, E., Guven, I. and Madenci, E., “Simulations of nanowire bend tests for extracting mechanical properties,” Theoretical and Applied Fracture Mechanics, Vol. 55, 2011, pp. 185-191

[38] Agwai, A. Guven, I. and Madenci, E., “Predicting Crack Propagation with Peridynamics: A Comparative Study,” International Journal of Fracture, Vol. 171, 2011, pp. 65-78.

[39] Agwai, A. Guven, I. and Madenci, E., “Crack Propagation in Multilayer Thin-film Structures of Electronic Packages Using Peridynamic Theory,” Microelectronics Reliability, Vol. 51, 2011, pp. 2298-2305.

[40] Aksoy, H. G., and Senocak, E. S., “Discontinuous Galerkin Method Based on Peridynamic Theory for Linear Elasticity,” International Journal for Numerical Methods and Engineering, Vol. 88, 2011, pp. 673-692.

[41] Askari, A., Nelson, K., Weckner, O., Xu, J. and Silling, S., “Hail Impact Characteristics of a Hybrid Material by Advanced Analysis Techniques and Testing,” Journal of Aerospace Engineering, Vol. 24, 2011, pp. 210-217.

[42] Aksoylu, B., and Parks, M. L., “Variational Theory and Domain Decomposition for Nonlocal Problems,” Applied Mathematics and Computation, Vol. 217, 2011, pp. 6498-6515.

[43] Du, Q. and Zhou, K., “Mathematical Analysis for the Peridynamic Nonlocal Continuum Theory,” ESAIM: Mathematical Modeling and Numerical Analysis, Vol. 45, 2011, pp. 217-234.

[44] Gunzburger, M., and Chen, X., “Continuous and Discontinuous Finite Element Methods for a Peridynamics Model,” Computer Methods on Applied Mechanics and Engineering, Vol. 200, 2011, pp. 1237-1250.

[45] Ha, Y. D. and Bobaru, F., “Characteristics of Dynamic Brittle Fracture Captured with Peridynamics,” Engineering Fracture Mechanics, Vol. 78, 2011, pp. 1156-1168.

[46] Huang, D., Zhang, Q. and Qiao, P., “Damage and Progressive Failure of Concrete Structures Using Non-local Peridynamic Modeling,” Science China Technological Sciences, Vol. 54, 2011, pp. 591-596.

[47] Lehoucq, R. B.  and Sears, M. P., “Statistical Mechanical Foundation of the Peridynamic Nonlocal Continuum Theory: Energy and Momentum Conservation Laws,” Physical Review E, Vol. 84, 2011, 031112.

[48] Yu, K., Xin, X. J. and Lease, K. B., “A New Adaptive Integration Method for the Peridynamic Theory,” Modeling and Simulation in Materials Science and Engineering, Vol. 19, 2011, 045003.

[49] Silling, S. A., “A Coarsening Method for Linear Peridynamics,” International Journal for Multiscale Computational Engineering, Vol. 9, No. 6, 2011, pp. 609-622.

[50] Weckner, O. and Silling, S. A., “Determination of Nonlocal Constitutive Equations from Phonon Dispersion Relations,” International Journal for Multiscale Computational Engineering, Vol. 9, No. 6, 2011, pp. 623-634.

[51] Bobaru, F. and Ha, Y. D., “Adaptive Refinement and Multiscale Modeling in 2D Peridynamics,” International Journal for Multiscale Computational Engineering, Vol. 9, No. 6, 2011, pp. 635-660.

[52] Burch, N. and Lehocq, R. B., “Classical, Nonlocal, and Fractional Diffusion Equations on Bounded Domains,” International Journal for Multiscale Computational Engineering, Vol. 9, No. 6, 2011, pp. 661-674.

[53] Foster, J. T., Silling, S. A. and Chen, W., “An Energy Based Failure Criterion for Use with Peridynamic States,” International Journal for Multiscale Computational Engineering, Vol. 9, No. 6, 2011, pp. 675-688.

[54] Seleson, P. and Parks, M. L., “On the Role of Influence Function in the Peridynamic Theory,” International Journal for Multiscale Computational Engineering, Vol. 9, No. 6, 2011, pp. 689-706.

[55] Hu, W., Ha, Y. D. and Bobaru, F., “Modeling Dynamic Fracture and Damage in a Fiber-Reinforced Composite Lamina with Peridynamics,” International Journal for Multiscale Computational Engineering, Vol. 9, No. 6, 2011, pp. 707-726.

2012

[56] Liu, W. and Hong, J., “Discretized Peridynamics for Brittle and Ductile Solids,” International Journal for Numerical Methods in Engineering, Vol. 89, No.8, 2012, pp. 1028-1046.

[57] Oterkus, E., Madenci, E., Weckner, O., Silling, S., Bogert, P. and Tessler, A., “Combined finite element and peridynamic analyses for predicting failure in a stiffened composite curved panel with a central slot,” Composite Structures, Vol. 94, 2012, pp. 839-850.

[58] Oterkus, E. and Madenci, E., “Peridynamic Analysis of Fiber Reinforced Composite Materials,” Journal of Mechanics of Materials and Structures, Vol. 7, No. 1, 2012, pp. 45-84.

[59] Agwai, A. Guven, I. and Madenci, E., “Drop-Shock Failure Prediction in Electronic Packages by Using Peridynamic Theory,” IEEE Transactions on Advanced Packaging, Vol. 2, No.3, 2012, pp. 439-447.

[60] Alali, B., and Lipton, R., “Multiscale Dynamics of Heterogeneous Media in the Peridynamic Formulation,” Journal of Elasticity, Vol. 106, 2012, pp. 71-103.

[61] Oterkus, E. and Madenci, E., “Peridynamic Theory for Damage Initiation and Growth in Composite Laminate,” Key Engineering Materials, Vols. 488-489, 2012, pp. 355-358.

[62] Bobaru, F., and Duangpanya, M., “A Peridynamic Formulation for Transient Heat Conduction in Bodies with Evolving Discontinuities,” Journal of Computational Physics, Vol. 231(7), 2012, pp. 2764-2785.

[63] Lubineau, G., Azdoud, Y., Han, F., Rey, C. and Askari, A., “A Morphing Strategy to Couple Non-local to Local Continuum Mechanics,” Journal of the Mechanics and Physics of Solids, Vol. 60, 2012, pp. 1088-1102.

[64] Mikata, Y., “Analytical Solutions of Peristatic and Peridynamic Problems for a 1D Infinite Rod,” International Journal of Solids and Structures, Vol. 49, No. 21, 2012, pp. 2887-2897.

[65] Liu, W. and Hong, J. W., “Discretized Peridynamics for Linear Elastic Solids,” Computational Mechanics, Vol. 50, No. 5, 2012, pp. 579-590.

[66] Hu, W., Ha, Y. D. and Bobaru, F., “Peridynamic model for dynamic fracture in unidirectional fiber-reinforced composites,” Computer Methods in Applied Mechanics and Engineering, Vol. 217, 2012, pp. 247-261.

[67] Bobaru, F., and Hu, W., “The meaning, selection, and use of the peridynamic horizon and its relation to crack branching in brittle materials,” International Journal of Fracture, Vol. 176, No. 2, 2012, pp. 215-222.

[68] Wang, H. and Hao, T, “A fast Galerkin method with efficient matrix assembly and storage for a peridynamic model,” Journal of Computational Physics, Vol. 231, No. 23, 2012, pp. 7730-7738.

[69] Hu, W., Ha, Y. D., Bobaru, F., and Silling, S. A., “The Formulation and Computation of the Nonlocal J-integral in Bond-based Peridynamics,” International Journal of Fracture, Vol. 176, No. 2, 2012, pp. 195-206.

[70] Oterkus, E., Guven, I. and Madenci, E., 2012, “Impact Damage Assessment by Using Peridynamic Theory,” Open Engineering, Vol. 2, No. 4, pp. 523-531.

[71] Liu, W. and Hong, J. W., “Discretized peridynamics for linear elastic solids,” Computational Mechanics, Vol. 50, No. 5, 2012, pp. 579-590.

[72] Hasan, H. M. A., Rahman, H. and Abed, R. H., “Wave Equation Applications in Peridynamic Model,” European Journal of Scientific Research, Vol. 88, No. 2, pp. 246-250.

[73] Bobaru, F., Ha, Y. and Hu, W., “Damage Progression from Impact in Layered Glass Modeled with Peridynamics,” Open Engineering, Vol. 2, .No. 4, 2012, 551-561.

[74] Ha, Y. D. and Cho, S., “Nonlocal Peridynamic Models for Dynamic Brittle Fracture in Fiber-Reinforced Composites: Study on Asymmetrically Loading State,” Journal of the Computational Structural Engineering Institute of Korea, Vol. 25, No. 4, 2012, pp. 279-285.

[75] Rahman, R. and Haque, A., “A Peridynamics Formulation Based Hierarchical Multiscale Modeling Approach Between Continuum Scale and Atomistic Scale,” International Journal of Computational Materials Science and Engineering, Vol. 1, No. 3, 2012, 1250029.

[76] Liu, W. and Hong, J. W., “A coupling approach of discretized peridynamics with finite element method,” Computer Methods in Applied Mechanics and Engineering, Vol. 245, 2012, pp. 163-175.

[77] Du, Q., Kamm, J. R., Lehoucq, R. B. and Parks, M. L., “A New Approach for A Nonlocal, Nonlinear Conservation Law,” SIAM Journal on Applied Mathematics, Vol. 72, No. 1, 2012, pp. 464-487.

[78] Vogler, T. J., Borg, J. P. and Grady, D. E., “On the Scaling of Steady Structured Waves in Heterogeneous Materials,” Journal of Applied Physics, Vol. 112, No. 12, 2014, 123507.

[79] Du, Q., Gunzburger, M., Lehoucq, R. B., and Zhou, K. “Analysis and approximation of nonlocal diffusion problems with volume constraints,” SIAM review, Vol. 54, No. 4, 2012, pp. 667-696.

[80] Erbay, H. A., Erkip, A. and Muslu, G. M., “The Cauchy Problem for a One-Dimensional Nonlinear Elastic Peridynamic Model,” Journal of Differential Equations, Vol. 252, No. 8, 2012, pp. 4392-4409.

2013

[81] Mengesha, T., and Du, Q., “Analysis of a Scalar Peridynamic Model with a Sign Changing Kernel,” Discrete Contin,  Vol. 18, No. 5, 2013, pp. 1415.

[82] Tian, X., and Du, Q., “Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations,” SIAM Journal on Numerical Analysis, Vol. 51, No. 6, 2013, pp. 3458–3482.

[83] Du, Q., Tian, L., Zhao, X., “A convergent Adaptive Finite Element Algorithm for Nonlocal Diffusion and Peridynamic Models,” SIAM Journal on Numerical Analysis, Vol. 51, No. 2, 2013, pp. 1211–1234.

[84] Emmrich, E., and Puhst, D., “Well-posedness of the Peridynamic Model with Lipschitz Continuous Pairwise Force Function,” Communications in Mathematical Sciences,Vol. 11, No. 4, 2013, pp. 1039-1049.

[85] Du, Q., Gunzburger, M., Lehoucq, R.B., and Zhou, K., “Analysis of the Volume-constrained Peridynamic Navier Equation of Linear Elasticity,” Journal of Elasticity, Vol. 113, No. 2, 2013, pp. 193-217

[86] Du, Q., Ju, L., Tian, L., and Zhou, K., “A Posteriori Error Analysis of Finite Element Method for Linear Nonlocal Diffusion and Peridynamic Models,” Mathematics of Computation, Vol. 82, 2013,  pp. 1889-1922.

[87] Weckner, O., and Mohamed N., “Viscoelastic Material Models in Peridynamics,” Applied Mathematics and Computation, Vol. 219, No. 11, 2013, pp. 6039–6043

[88] Shen, F., Zhang, Q., and Huang, D., “Damage and Failure Process of Concrete Structure under Uniaxial Compression Based on Peridynamics Modeling,” Mathematical Problems in Engineering, (2013), 2013, No. 631074

[89] Hassan, H. M. A., “Dispersive Standing Waves in Peridynamic Model,” International Journal of Physics and Mathematical Sciences, Vol. 3, No. 4, 2013, pp.66-72.

[90] Tupek, M.R., Rimoli, J.J., and Radovitzky, R., “An Approach for Incorporating Classical Continuum Damage Models in State-based Peridynamics,” Computer Methods in Applied Mechanics and Engineering, Vol. 263, 2013, pp. 20-26.

[91] Wildman, R.A., and Gazonas, G.A., “A Perfectly Matched Layer for Peridynamics in Two Dimensions,” Journal of Mechanics of Materials and Structures, Vol.7, No. 8-9, 2012, pp. 765-781.

[92] Beckmann, R., Mella, R., and Wenman, M.R., “Mesh and Timestep Sensitivity of Fracture from Thermal Strains Using Peridynamics Implemented in Abaqus,” Computer Methods in Applied Mechanics and Engineering, Vol 263, 2013, pp. 71-80.

[93] Seleson, P., Beneddine, S., and Prudhomme, S., “A Force-based Coupling Scheme for Peridynamics and Classical Elasticity,” Computational Materials Science, Vol. 66, 2013, pp. 34-49.

[94] Seleson, P., Gunzburger, M. and Parks, M. L., “Interface Problems in Nonlocal Diffusion and Sharp Transitions between Local and Nonlocal Domains,” Computer Methods in Applied Mechanics and Engineering, Vol. 266, 2013, pp. 185-204.

[95] W. Hu, Y. Wang, J. Yu, C.F. Yen, F. Bobaru, “Impact damage on a thin glass with a thin polycarbonate backing”, International Journal of Impact Engineering, 62: 152- 165 (2013).

2014

[96] Aguiar, A. R. and Fosdick, R., “A Constitutive Model for a Linearly Elastic Peridynamic Body,” Mathematics and Mechanics of Solids, Vol. 19, 2014, pp. 502-523.

[97] Alimov, S. A., Cao, Y. and Ilhan, O. A., “On the Problems of Peridynamics with Special Convolution Kernels,” Journal of Integral Equations and Applications, Vol. 26, 2014, pp. 301-321.

[98] Bellido, J. C. and Mora-Corral, C., “Existence for Nonlocal Variational Problems in Peridynamics,” SIAM Journal on Mathematical Analysis, Vol. 46, 2014, pp. 890-916.

[99] Bessa, M. A., Foster, J. T., Belytschko, T. and Liu, W. K., “A Meshfree Unification: Reproducing Kernel Peridynamics,” Computational Mechanics, Vol. 53, 2014, pp. 1251-1264.

[100] Azdoud, Y., Han, F. and Lubineau, G., “The Morphing Method as a Flexible Tool for Adaptive Local/Non-local Simulation of Static Fracture,” Computational Mechanics, Vol. 54, No. 3, 2014, pp. 711-722.

[101] Ghajari, M., Iannucci, L. and Curtis, P., “A Peridynamic Material Model for the Analysis of Dynamic Crack Propagation in Orthotropic Media,” Computer Methods in Applied Mechanics and Engineering, Vol. 276, 2014, pp. 431-452.

[102] Seleson, P., “Improved One-Point Quadrature Algorithms for Two-Dimensional Peridynamic Models Based on Analytical Calculations,” Computer Methods in Applied Mechanics and Engineering, Vol. 282, 2014, pp. 184-217.

[103] Seleson, P., Parks, M. L. and Gunzburger, M., “Peridynamic State-Based Models and the Embedded-Atom Model,” Communications in Computational Physics, Vol. 15, No. 1, 2014, pp. 179-205.

[104] Robert Lipton, “Dynamic Brittle Fracture as a Small Horizon Limit of Peridynamics,” Journal of Elasticity, 117, Issue 1, 2014, pp 21–50.

2015

[105] Taylor, M., and Steigmann, D.J., “A Two-dimensional Peridynamic Model for Thin Plates,” Mathematics and Mechanics of Solids, Vol. 20, No. 8, 2015, pp. 998-1010.

[106] Silling, S. A., Littlewood, D. J. and Seleson, P., “Variable Horizon in a Peridynamic Medium,” Journal of Mechanics of Materials and Structures, Vol. 10, No. 5, 2015, pp. 591-612.

[107] Chen, Z. and Bobaru, F., “Peridynamic Modeling of Pitting Corrosion Damage,” Journal of the Mechanics and Physics of Solids, Vol. 78, 2015, pp. 352-381.

[108] Chen, Z. and Bobaru, F., “Selecting the Kernel in a Peridynamic Formulation: A Study for Transient Heat Diffusion,” Computer Physics and Communication, Vol. 197, 2015, pp. 51-60.

[109] Huang, D., Lu, G., Wang, C. and Qiao, P., “An Extended Peridynamic Approach for Deformation and Fracture Analysis,” Engineering Fracture Mechanics, Vol. 141, 2015, pp. 196-211.

[110] Hu, Y. L., De Carvalho, N. V. and Madenci, E., “Peridynamic Modeling of Delamination Growth in Composite Laminates ,” Composite Structures, Vol. 132 , 2015, pp. 610-620.

[111] Huang, D., Lu, G. and Qiao, P., “An Improved Peridynamic Approach for Quasi-static Elastic Deformation and Brittle Fracture Analysis,” International Journal of Mechanical Sciences, Vols. 94-95, 2015, pp. 111-122.

[112] Chowdhury, S. R., Rahaman, M. M., Roy, D. and Sundaram, N., “A Micropolar Peridynamic Theory in Linear Elasticity,” International Journal of Solids and Structures, Vol. 59, 2015, pp. 171-182.

[113] Lai, X., Liu, L. S., Liu, Q. W., Cao, D. F., Wang and Z., Zhai, P. C., “Slope Stability Analysis by Peridynamic Theory,” Applied Mechanics and Materials, Vol. 744-746, 2015, pp. 584-588.

[114] Rahman, R. and Foster, J. T., “Peridynamic Theory of Solids from the Perspective of Classical Statistical Mechanics,” Physica A: Statistical Mechanics and its Application, Vol.437, 2015, pp. 162-183.

[115] Jabakhanji, R. and Mohtar, R. H., “A Peridynamic Model of Flow in Porous Media,” Advances in Water Resources, Vol. 78, 2015, pp. 22-35.

[116] Cheng, Z., Zhang, G., Wang, Y. and Bobaru F., “A Peridynamic Model for Dynamic Fracture in Functionally Graded Materials,” Composite Structures, Vol. 133, 2015, pp. 529-546.

[117] Bobaru, F. and Zhang, G., “Why do cracks branch? A Peridynamic Investigation of Dynamic Brittle Fracture,” International Journal of Fracture, Vol. 196, 2015, pp. 59-98.

[118] Mengesha, T. and Du, Q., “Multiscale Analysis of Linearized Peridynamics,” Communication in Mathematical Sciences, Vol. 13, No. 5, 2015, pp. 1193-1218.

[119] Ha, Y. D., “State-based Peridynamic Modeling for Dynamic Fracture of Plane Stress,” Journal of the Computational Structural Engineering Institute of Korea, Vol. 28, No. 3, 2015, pp. 301-307.

[120] Ha, Y. D., “Dynamic Fracture Analysis with State-based Peridynamic Model: Crack Patterns on Stress Waves for Plane Stress Elastic Solid,” Journal of the Computational Structural Engineering Institute of Korea, Vol. 28, No. 3, 2015, pp. 309-316.

[121] Diyaroglu, C., Oterkus, E., Oterkus, S. and Madenci, E., “Peridynamics for Bending of Beams and Plates with Transverse Shear Deformation,” International Journal of Solids and Structures, Vols. 69-70, 2015, pp. 152-168.

[122] Moon, M. Y., Kim, J. H., Ha, Y. D. and Cho, S., “Adjoint Design Sensitivity Analysis of Dynamic Crack Propagation using Peridynamic Theory,” Structural and Multidisciplinary Optimization, Vol. 51, No. 3, 2015, pp. 585-598.

[123] Jeon, B. S., Stewart, R. J. and Ahmed, I. Z., “Peridynamic Simulations of Brittle Structures with Thermal Residual Deformation: Strengthening and Structural Reactivity of Glasses under Impacts,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, Vol.471, No. 2183, 2015, p.20150231.

[124] Emmrich, E. and Puhst, D., “Survey of Existence Results in Nonlinear Peridynamics in Comparison with Local Elastodynamics,” Comput. Methods Appl. Math., Vol. 15, 2015, pp. 483-496. 

[125] Emmrich, E. and Puhst, D., “Measure-valued and Weak Solutions to the Nonlinear Peridynamic Model in Nonlocal Elastodynamics,” Nonlinearity, Vol. 28, 2015, pp. 285-307. 

[126] Dell'Isola, F., Andreaus, U. and Placidi, L., “At the Origins and In the Vanguard of Peridynamics, Non-local and Higher-Gradient Continuum Mechanics: An Underestimated and Still Topical Contribution of Gabrio Piola,” Mathematics and Mechanics of Solids, Vol. 20, No. 8, 2015, pp. 887-928.

[127] Seleson, P., Ha, Y. D. and Beneddine, S., “Concurrent Coupling of Bond-Based Peridynamics and the Navier Equation of Classical Elasticity by Blending,” International Journal for Multiscale Computational Engineering, Vol. 13, No. 2, 2015, pp. 91-113.

[128] Ren, B., Fan, H., Bergel, G. L., Regueiro, R. A., Lai, X. and Li, S., “A Peridynamics-SPH Coupling Approach to Simulate Soil Fragmentation Induced by Shock Waves,” Computational Mechanics, Vol. 55, No. 2, 2015, pp. 287-302.

[129] Lai, X., Ren, B., Fan, H., Li, S., Wu, C. T., Regueiro, R. A. and Liu, L., “Peridynamics Simulations of Geomaterial Fragmentation by Impulse Loads,” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 39, No. 12, 2015, pp. 1304-1330.

2016

[130] Amani, J., Oterkus, E., Areias, P., Zi, G., Nguyen-Thoi, T. and Rabczuk, T., “A Non-ordinary State-based Periynamics Formulation for Thermoplastic Fracture,” International Journal of Impact Engineering, Vol. 87, 2016, pp. 83-94.

[131] Sarego, G., Le, Q. V., Bobaru, F., Zaccariotto, M. and Galvanetto, U., “Linearized State-based Peridynamics for 2-D problems,” International Journal for Numerical Methods in Engineering, Vol. 108(10), 2016, pp. 1174-1197.

[132] Han, F., Lubineau, G. and Azdoud, Y., “Adaptive Coupling Between Damage Mechanics and Peridynamics:_A Route for Objective Simulation of Material Degradation up to Complete Failure,” Journal of the Mechanics and Physics of Solids, Vol. 94, 2016, pp. 453-472.

[133] De Meo, D., Diyaroglu, C., Zhu, N., Oterkus, E. and Siddiq, M. A., “Modelling of Stress-Corrosion Cracking by Using Peridynamics,” International Journal of Hydrogen Energy, Vol. 41, No. 15, 2016, pp. 6593-6609.

[134] Han, F., Lubineau, G., Azdoud, Y. and Askari, A., “A Morphing Approach to Couple State-based Peridynamics with Classical Continuum Mechanics,” Computer Methods in Applied Mechanics and Engineering, Vol. 301, 2016, pp. 336-358.

[135] Mengesha, T. and Du, Q., “Characterization of Function Spaces of Vector Fields and an Application in Nonlinear Peridynamics,” Nonlinear Analysis: Theory, Methods and Applications, Vol. 140, 2016, pp. 82-111.

[136] Madenci, E., Colavito, K. and Phan, N., “Peridynamics for Unguided Crack Growth Prediction under Mixed-mode Loading,” Engineering Fracture Mechanics, 2016, in press.

[137] Wang, L., Xu, J. and Wang, J., “Static and Dynamic Green’s Functions in Peridynamics,” Journal of Elasticity, 2016, pp. 1-31

[138] Bergel, G. L. and Li, S., “The Total and Updated Lagrangian Formulations of State-based Peridynamics,” Computational Mechanics, 2016, pp. 1-20.

[139] Nishawala, V. V., Ostoja-Starzewski, M., Leamy, M. J. and Demmie, P. N., “Simulation of Elastic Wave Propagation Using Cellular Automata and Peridynamics, and Comparison with Experiments,” Wave Motion, Vol. 60, 2016, pp. 73-83.

[140] Prakash, N. and Seidel, G. D., “Electromechanical Peridynamics Modeling of Piezoresistive Response of Carbon Nanotube Nanocomposites,” Computational Materials Science, Vol. 113, 2016, pp. 154-170.

[141] Madenci, E. and Oterkus, S., “Ordinary State-based Peridynamics for Plastic Deformation According to von Mises Yield Criteria with Isotropic Hardening,” Journal of the Mechanics and Physics of Solids, Vol. 86, 2016, pp. 192-219.

[142] Fan, H., Bergel, G. L. and Li, S., “A Hybrid Peridynamics SPH Simulation of Soil Fragmentation by Blast Loads of Buried Explosive,” International Journal of Impact Engineering, Vol. 87, 2016, pp. 14-27.

[143] Diehl, P., Franzelin, F., Pfluger, D. and Ganzenmuller, G. C., “Bond-based Peridynamics: a Quantitative Study of Mode I Crack Opening,” International Journal of Fracture, 2016, pp. 1-14.

[144] Gu, X., Zhang, Q., Huang, D and Yv, Y., “Wave Dispersion Analysis and Simulation Method for Concrete SHPB Test in Peridynamics,” Engineering Fracture Mechanics, Vol. 160, 2016, pp. 124-137.

[145] Sadowski, T. and Pankowski, B., “Numerical Modelling of Two-phase Ceramic Composite Response Under Uniaxial Loading,” Composite Structures, Vol. 143, 2016, pp. 388-394.

[146] Nishawala, V. V. and Ostoja-Starzewski, “Peristatic Solutions for Finite One- and Two-dimensional System,” Mathematics and Mechanics of Solids, 2016.

[147] Jiang, H., He, L., Fan, L.. and Zhan, G., “Numerical Analysis Method of Cemented Carbide Turning Tool's Micro Breakage Based on Peridynamic Theory,” The International Journal of Advanced Manufacturing Technology, 2016, pp. 1-10.

[148] Silhavy, M., “Higher Gradient Expansion for Linear Isotropic Peridynamic Materials,” Mathematics and Mechanics of Solids, 2016.

[149] Sun, C. and Huang, Z., “Peridynamic Simulation to Impacting Damage in Composite Laminate,” Composite Structures, Vol. 138, 2016, pp. 335-341.

[150] Dipasquale, D., Sarego, G., Zaccariotto, M. and Galvanetto, U., “Dependence of Crack Paths on the Orientation of Regular 2D Peridynamic Grids,” Engineering Fracture Mechanics, Vol. 160, 2016, pp. 248-263.

[151] Lindsay, P., Parks, M. L. and Prakash, A., “Enabling Fast, Stable and Accurate Peridynamic Computation Using Multi-time-step Integration,” Computer Methods in Applied Mechanics and Engineering, Vol. 306, 2016, pp. 382-405.

[152] Hu, Y. L. and Madenci, E., “Bond-based Peridynamic Modeling of Composite Laminates with Arbitrary Fiber Orientation and Stacking Sequence,” Composite Structures, Vol. 153, 2016, pp. 139-175.

[153] Li, H., Zhang, H., Zheng, Y. and Zhang, L., “A Peridynamic Model for the Nonlinear Static Analysis of Truss and Tensegrity Structures,” Computational Mechanics, Vol. 57, No. 5, 2016, pp. 843-858.

[154] Xu, F., Gunzburger, M., Burkardt, J. and Du, Q., “A Multiscale Implementation Based on Adaptive Mesh Refinement for the Nonlocal Peridynamics Model in One Dimension,” Multiscale Modeling & Simulation, Vol. 14, No. 1, 2016, pp. 398-429.

[155] Emmrich, E. and Puhst, D., “A Short Note on Modeling Damage in Peridynamics,” J. Elasticity, Vol. 123, 2016, pp. 245-252. 

[156] Seleson, P. and Littlewood, D. J., “Convergence Studies in Meshfree Peridynamic Simulations,” Computers and Mathematics with Applications, Vol. 71, No. 11, 2016, pp. 2432-2448.

[157] Aguiar, A.R., “On the Determination of a Peridynamic Constant in a Linear Constitutive Model,” Journal of Elasticity, Vol. 122, No. 1, 2016, pp. 27-39.

[158] Fan, H. and Li, S., “Parallel Peridynamics-SPH Simulation of Explosion Induced Soil Fragmentation by Using OpenMP,” Computational Particle Mechanics, 2016, pp. 1-13.

[159] Tong, Q. and Li, S., “Multiscale Coupling of Molecular Dynamics and Peridynamics,” Journal of the Mechanics and Physics of Solids, Vol. 95, 2016, 169-187.

[160] Ren, H., Zhuang, X., Cai, Y. and Rabczuk, T., “Dual-Horizon Peridynamics,” International Journal for Numerical Methods in Engineering, 2016, accepted.

[161] Ren, H., Zhuang, X., and Rabczuk, T., “A New Peridynamic Formulation with Shear Deformation for Elastic Solid,” Journal of Micromechanics and Molecular Physics, 2016, accepted.

[162] Seleson, P., Du, Q., and Parks, M. L., “On The Consistency Between Nearest-Neighbor Peridynamic Discretizations and Discretized Classical Elasticity Models,”Computer Methods in Applied Mechanics and Engineering, Vol. 311, 2016, pp. 698-722.

[163] Robert Lipton, “Cohesive Dynamics and Brittle Fracture,” Journal of Elasticity, 124, Issue 2, 2016, pp. 143-191.

[164] Shojaei, A., Mudric, T., Zaccariotto, M. and Galvanetto, U., 2016. A coupled meshless finite point/Peridynamic method for 2D dynamic fracture analysis. International Journal of Mechanical Sciences, 119, pp.419-431.

[165] G. Zhang, F. Bobaru, "Modeling the evolution of fatigue failure with peridynamics", Romanian  Journal of Technical Sciences - Applied Mechanics, 61(1): 20-39 (2016).

[166] Ziguang Chen, Drew Bakenhus, Florin Bobaru, "A constructive peridynamic kernel for elasticity", Computer Methods in Applied Mechanics and Engineering, 311: 356-373 (2016).

[167] Guanfeng Zhang, Quang Le, Adrian Loghin, Arun Subramaniyan, Florin Bobaru, "Validation of a peridynamic model for fatigue cracking", Engineering Fracture Mechanics, 162: 76–94 (2016).

[168] Z. Chen, G. Zhang, F. Bobaru, "The Influence of Passive Film Damage on Pitting Corrosion", Journal of The Electrochemical Society, 163(2),C19-C24, (2016).

2017

[169] Tao, Y., Tian, X. and Du, Q., 2017. Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations. Applied Mathematics and Computation, 305, pp.282-298.

[170] Oterkus, S., Madenci, E. and Oterkus, E., 2017. Fully coupled poroelastic peridynamic formulation for fluid-filled fractures. Engineering Geology.

[171] Liu, Z., Cheng, A. and Wang, H., 2017. An hp-Galerkin method with fast solution for linear peridynamic models in one dimension. Computers & Mathematics with Applications.

[172] Zeleke, M.A., Xin, L. and Liu, L.S., 2017. Bond Based Peridynamic Formulation for Thermoelectric Materials. In Materials Science Forum (Vol. 883, pp. 51-59). Trans Tech Publications.

[173] Oterkus, S. and Madenci, E., 2017. Peridynamic modeling of fuel pellet cracking. Engineering Fracture Mechanics, 176, pp.23-37.

[174] Liu, N., Liu, D. and Zhou, W., 2017. Peridynamic modelling of impact damage in three-point bending beam with offset notch. Applied Mathematics and Mechanics, 38(1), pp.99-110.

[175] Gu, X., Zhang, Q. and Yu, Y., 2017. An Effective Way to Control Numerical Instability of a Nonordinary State-Based Peridynamic Elastic Model. Mathematical Problems in Engineering, 2017.

[176] Diyaroglu, C., Oterkus, S., Oterkus, E., Madenci, E., Han, S. and Hwang, Y., 2017. Peridynamic wetness approach for moisture concentration analysis in electronic packages. Microelectronics Reliability, 70, pp.103-111.

[177] De Meo, D. and Oterkus, E., 2017. Finite element implementation of a peridynamic pitting corrosion damage model. Ocean Engineering, 135, pp.76-83.

[178] Yaghoobi, A. and Chorzepa, M.G., 2017. Fracture analysis of fiber reinforced concrete structures in the micropolar peridynamic analysis framework. Engineering Fracture Mechanics, 169, pp.238-250.

[179] Seitenfuss, A.B., Aguiar, A.R. and Pereira, M., 2017. NUMERICAL AND THEORETICAL STUDY OF THE PROPERTIES OF A LINEAR ELASTIC PERIDYNAMIC MATERIAL. Revista Interdisciplinar de Pesquisa em Engenharia-RIPE, 2(29), pp.104-114.

[180] Ahadi, A., Hansson, P. and Melin, S., 2017. Simulating Nanoindentation of Thin Cu Films Using Molecular Dynamics and Peridynamics. In Solid State Phenomena (Vol. 258, pp. 25-28). Trans Tech Publications.

[181] Vazic, B., Wang, H., Diyaroglu, C., Oterkus, S. and Oterkus, E., 2017. Dynamic propagation of a macrocrack interacting with parallel small cracks. AIMS Materials Science, 4(1), pp.118-136.

[182] Delorme, R., Tabiai, I., Lebel, L.L. and Lévesque, M., Generalization of the ordinary state-based peridynamic model for isotropic linear viscoelasticity. Mechanics of Time-Dependent Materials, pp.1-27.

[183] Lejeune, E. and Linder, C., 2017. Modeling tumor growth with peridynamics. Biomechanics and Modeling in Mechanobiology, pp.1-17.

[184] Ren, B., Wu, C.T. and Askari, E., 2017. A 3D discontinuous Galerkin finite element method with the bond-based peridynamics model for dynamic brittle failure analysis. International Journal of Impact Engineering, 99, pp.14-25.

[185] Panchadhara, R., Gordon, P.A. and Parks, M.L., 2017. Modeling propellant-based stimulation of a borehole with peridynamics. International Journal of Rock Mechanics and Mining Sciences, 93, pp.330-343.

[186] Hu, Y.L. and Madenci, E., 2017. Peridynamics for fatigue life and residual strength prediction of composite laminates. Composite Structures, 160, pp.169-184.

[187] Madenci, E. and Oterkus, S., 2017. Ordinary state-based peridynamics for thermoviscoelastic deformation. Engineering Fracture Mechanics.

[188] Yaghoobi, A., Chorzepa, M.G. and Kim, S.S., 2017. Mesoscale fracture analysis of multiphase cementitious composites using peridynamics. Materials, 10(2), p.162.

[189] Lejeune, E. and Linder, C., 2017. Quantifying the relationship between cell division angle and morphogenesis through computational modeling. Journal of Theoretical Biology, 418, pp.1-7.

[190] Du, Q. and Yang, J., 2017. Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications. Journal of Computational Physics, 332, pp.118-134.

[191] Wang, L., Xu, J. and Wang, J., 2017. Static and Dynamic Green’s Functions in Peridynamics. Journal of Elasticity, 126(1), pp.95-125.

[192] M. Bußler, P. Diehl, D. Pflüger, S. Frey, F. Sadlo, T. Ertl, and M. A. Schweitzer, Visualization of Fracture Progression in Peridynamics, Computer & Graphics, 67 (2017), pp. 45–57.

[193] P. Diehl, F. Franzelin, D. Pflüger, and G. C. Ganzenmüller, Bond-based peridynamics: a quantitative study of Mode I crack opening, International Journal of Fracture, 2 (2016), pp. 157–170.

[194] Diyaroglu, C., Oterkus, S., Oterkus, E. and Madenci, E., 2017. Peridynamic modeling of diffusion by using finite element analysis. IEEE Transactions on Components, Packaging and Manufacturing Technology.

[195] Diyaroglu, C., Oterkus, E. and Oterkus, S., 2017. An Euler-Bernoulli Beam Formulation in Ordinary State-Based Peridynamic Framework. Mathematics and Mechanics of Solids.

[196] Mossaiby, F., Shojaei, A., Zaccariotto, M. and Galvanetto, U., 2017. OpenCL implementation of a high performance 3D Peridynamic model on graphics accelerators. Computers & Mathematics with Applications.

[197] Zaccariotto, M., Tomasi, D. and Galvanetto, U., 2017. AN ENHANCED COUPLING OF PD GRIDS TO FE MESHES. Mechanics Research Communications.

[198] Butt, S.N., Timothy, J.J. and Meschke, G., 2017. Wave dispersion and propagation in state-based peridynamics. Computational Mechanics, pp.1-14.

[199] Yaghoobi, A. and Chorzepa, M.G., 2017. Formulation of symmetry boundary modeling in non-ordinary state-based peridynamics and coupling with finite element analysis. Mathematics and Mechanics of Solids, p.1081286517711495.

[200] Shojaei, A., Shojaei, A., Zaccariotto, M., Zaccariotto, M., Galvanetto, U. and Galvanetto, U., 2017. Coupling of 2D discretized Peridynamics with a meshless method based on classical elasticity using switching of nodal behaviour. Engineering Computations, 34(5), pp.1334-1366.

[201] Jung, J. and Seok, J., 2017. Mixed-mode fatigue crack growth analysis using peridynamic approach. International Journal of Fatigue.

[202] Gu, X., Zhang, Q. and Xia, X., Voronoi‐based peridynamics and cracking analysis with adaptive refinement. International Journal for Numerical Methods in Engineering.

[203] Madenci, E., Dorduncu, M., Barut, A. and Futch, M., 2017. Numerical solution of linear and nonlinear partial differential equations using the peridynamic differential operator. Numerical Methods for Partial Differential Equations.

[204] Van Le, Q. and Bobaru, F., 2017. Objectivity of State-Based Peridynamic Models for Elasticity. Journal of Elasticity, pp.1-17.

[205] Liu, Z. and Li, X., 2017. A Fast Finite Difference Method for a Continuous Static Linear Bond-Based Peridynamics Model of Mechanics. Journal of Scientific Computing, pp.1-15.

[206] Dayal, K., 2017. Leading-order nonlocal kinetic energy in peridynamics for consistent energetics and wave dispersion. Journal of the Mechanics and Physics of Solids, 105, pp.235-253.

[207] Silling, S.A., Parks, M.L., Kamm, J.R., Weckner, O. and Rassaian, M., 2017. Modeling shockwaves and impact phenomena with Eulerian peridynamics. International Journal of Impact Engineering, 107, pp.47-57.

[208] Naumenko, K., 2017. Florin Bobaru, John T. Foster, Philippe H. Geubelle, Stewart A. Silling, Handbook of Peridynamic Modeling. Cambridge Texts In Applied Mathematics, CRC Press, Hard Back£ 127.00, 2017, 548 p., ISBN 9781482230437. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 97(5), pp.616-616.

[209] Wang, Q., Wang, Y., Zan, Y., Lu, W., Bai, X. and Guo, J., 2017. Peridynamics simulation of the fragmentation of ice cover by blast loads of an underwater explosion. Journal of Marine Science and Technology, pp.1-15.

[210] Hafezi, M.H., Alebrahim, R. and Kundu, T., 2017. Peri-ultrasound for modeling linear and nonlinear ultrasonic response. Ultrasonics, 80, pp.47-57.

[211] Queiruga, A.F. and Moridis, G., 2017. Numerical experiments on the convergence properties of state-based peridynamic laws and influence functions in two-dimensional problems. Computer Methods in Applied Mechanics and Engineering, 322, pp.97-122.

[212] Yaghoobi, A. and Chorzepa, M.G., 2017. Higher-order approximation to suppress the zero-energy mode in non-ordinary state-based peridynamics. Computers & Structures, 188, pp.63-79.

[213] Silling, S.A., 2017. Stability of peridynamic correspondence material models and their particle discretizations. Computer Methods in Applied Mechanics and Engineering, 322, pp.42-57.

[214] Madenci, E., 2017. Peridynamic integrals for strain invariants of homogeneous deformation. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik.

[215] Zhou, W., Liu, D. and Liu, N., 2017. Analyzing dynamic fracture process in fiber-reinforced composite materials with a peridynamic model. Engineering Fracture Mechanics, 178, pp.60-76.

2018

[216] Pasetto, M., Leng, Y., Chen, J. S., Foster, J. T.,  and Seleson, P., 2018. A reproducing kernel enhanced approach for peridynamic solutions. Computer Methods in Applied Mechanics and Engineering, Vol. 340, pp. 1044-1078.

[217] Ballarini, R., Diana, V., Biolzi, L. and Casolo, S., 2018. Bond-based peridynamic modelling of singular and nonsingular crack-tip fields. Meccanica, 53(14), pp.3495-3515.

[218] Yolum, U., Gök, E., Coker, D. and Guler, M.A., 2018. Peridynamic Modelling of Delamination in DCB Specimen. Procedia Structural Integrity, 13, pp.2126-2131.

[219] Van Le, Q. and Bobaru, F., 2018. Objectivity of state-based peridynamic models for elasticity. Journal of Elasticity, 131(1), pp.1-17.

[220] Zhang, G., Gazonas, G.A. and Bobaru, F., 2018. Supershear damage propagation and sub-Rayleigh crack growth from edge-on impact: A peridynamic analysis. International Journal of Impact Engineering, 113, pp.73-87.

[221] Zaccariotto, M., Mudric, T., Tomasi, D., Shojaei, A. and Galvanetto, U., 2018. Coupling of FEM meshes with Peridynamic grids. Computer Methods in Applied Mechanics and Engineering, 330, pp.471-497.

[222] Wang, L. and Abeyaratne, R., 2018. A one-dimensional peridynamic model of defect propagation and its relation to certain other continuum models. Journal of the Mechanics and Physics of Solids, 116, pp.334-349.

[223] Shojaei, A., Galvanetto, U., Rabczuk, T., Jenabi, A. and Zaccariotto, M., 2019. A generalized finite difference method based on the Peridynamic differential operator for the solution of problems in bounded and unbounded domains. Computer Methods in Applied Mechanics and Engineering, 343, pp.100-126.

[224] Jafarzadeh, S., Chen, Z. and Bobaru, F., 2018. Peridynamic Modeling of Intergranular Corrosion Damage. Journal of The Electrochemical Society, 165(7), pp.C362-C374.

[225] He, X., Wang, H. and Wu, E., 2018. Projective peridynamics for modeling versatile elastoplastic materials. IEEE transactions on visualization and computer graphics, 24(9), pp.2589-2599.

[226] Xue, T., Zhang, X. and Tamma, K.K., 2018. A two-field state-based Peridynamic theory for thermal contact problems. Journal of Computational Physics, 374, pp.1180-1195.

[227] Zhang, Y. and Qiao, P., 2018. An axisymmetric ordinary state-based peridynamic model for linear elastic solids. Computer Methods in Applied Mechanics and Engineering, 341, pp.517-550.

[228] Zhao, J., Chen, Z., Mehrmashhadi, J. and Bobaru, F., 2018. Construction of a peridynamic model for transient advection-diffusion problems. International Journal of Heat and Mass Transfer, 126, pp.1253-1266.

[229] Hu, Y., Chen, H., Spencer, B.W. and Madenci, E., 2018. Thermomechanical peridynamic analysis with irregular non-uniform domain discretization. Engineering Fracture Mechanics, 197, pp.92-113.

[230] Zhang, H. and Qiao, P., 2018. A state-based peridynamic model for quantitative fracture analysis. International Journal of Fracture, 211(1-2), pp.217-235.

[231] Zhu, F. and Zhao, J., 2018. A peridynamic investigation on crushing of sand particles. Géotechnique, pp.1-15.

[232] Wang, Y., Zhou, X. and Kou, M., 2018. Peridynamic investigation on thermal fracturing behavior of ceramic nuclear fuel pellets under power cycles. Ceramics International, 44(10), pp.11512-11542.

[233] Du, Q. and Tian, X., 2018. Stability of nonlocal Dirichlet integrals and implications for peridynamic correspondence material modeling. SIAM Journal on Applied Mathematics, 78(3), pp.1536-1552.

[234] Cheng, Z., Liu, Y., Zhao, J., Feng, H. and Wu, Y., 2018. Numerical simulation of crack propagation and branching in functionally graded materials using peridynamic modeling. Engineering Fracture Mechanics, 191, pp.13-32.

[235] Wang, L., Xu, J. and Wang, J., 2018. A peridynamic framework and simulation of non-Fourier and nonlocal heat conduction. International Journal of Heat and Mass Transfer, 118, pp.1284-1292.

[236] Madenci, E., Barut, A. and Phan, N., 2018. Peridynamic unit cell homogenization for thermoelastic properties of heterogenous microstructures with defects. Composite Structures, 188, pp.104-115.

[237] Li, P., Hao, Z.M. and Zhen, W.Q., 2018. A stabilized non-ordinary state-based peridynamic model. Computer Methods in Applied Mechanics and Engineering, 339, pp.262-280.

[238] Jafari, A., Ezzati, M. and Atai, A.A., 2018. Static and free vibration analysis of Timoshenko beam based on combined peridynamic-classical theory besides FEM formulation. Computers & Structures.

[239] Xu, L., He, X., Chen, W., Li, S. and Wang, G., 2018, October. Reformulating Hyperelastic Materials with Peridynamic Modeling. In Computer Graphics Forum (Vol. 37, No. 7, pp. 121-130).

[240] Diana, V. and Casolo, S., 2018. A bond-based micropolar peridynamic model with shear deformability: Elasticity, failure properties and initial yield domains. International Journal of Solids and Structures.

[241] Shojaei, A., Mossaiby, F., Zaccariotto, M. and Galvanetto, U., 2018. An adaptive multi-grid peridynamic method for dynamic fracture analysis. International Journal of Mechanical Sciences.

[242] Ni, T., Zhu, Q.Z., Zhao, L.Y. and Li, P.F., 2018. Peridynamic simulation of fracture in quasi brittle solids using irregular finite element mesh. Engineering Fracture Mechanics, 188, pp.320-343.

[243] Wang, Y., Zhou, X., Wang, Y. and Shou, Y., 2018. A 3-D conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids. International Journal of Solids and Structures, 134, pp.89-115.

[244] Yang, Z., Oterkus, E., Nguyen, C.T. and Oterkus, S., 2018. Implementation of peridynamic beam and plate formulations in finite element framework. Continuum Mechanics and Thermodynamics, pp.1-15.

[245] Wang, H., Oterkus, E. and Oterkus, S., 2018. Peridynamic modelling of fracture in marine lithium-ion batteries. Ocean Engineering, 151, pp.257-267.

[246] Liu, H., Cheng, A. and Wang, H., 2018. A Fast Discontinuous Galerkin Method for a Bond-Based Linear Peridynamic Model Discretized on a Locally Refined Composite Mesh. Journal of Scientific Computing, pp.1-30.

[247] Liu, X., He, X., Wang, J., Sun, L. and Oterkus, E., 2018. An ordinary state-based peridynamic model for the fracture of zigzag graphene sheets. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474(2217), p.20180019.

[248] Zhang, H. and Qiao, P., 2018. An extended state-based peridynamic model for damage growth prediction of bimaterial structures under thermomechanical loading. Engineering Fracture Mechanics, 189, pp.81-97.

[249] Gao, Y. and Oterkus, S., 2018. Ordinary state-based peridynamic modelling for fully coupled thermoelastic problems. Continuum Mechanics and Thermodynamics, pp.1-31.

[250] Madenci, E., Dorduncu, M., Barut, A. and Phan, N., 2018. A state-based peridynamic analysis in a finite element framework. Engineering Fracture Mechanics, 195, pp.104-128.

[251] Mehrmashhadi, J., Tang, Y., Zhao, X., Xu, Z., Pan, J., Van Le, Q. and Bobaru, F., 2018. The Effect of Solder Joint Microstructure on the Drop Test Failure: a Peridynamic Analysis. IEEE Transactions on Components, Packaging and Manufacturing Technology.

[252] Li, W. and Guo, L., 2018. Meso-fracture simulation of cracking process in concrete incorporating three-phase characteristics by peridynamic method. Construction and Building Materials, 161, pp.665-675.

[253] Kulkarni, S. and Tabarraei, A., 2018. An analytical study of wave propagation in a peridynamic bar with nonuniform discretization. Engineering Fracture Mechanics, 190, pp.347-366.

[254] Chen, H., 2018. Bond-associated deformation gradients for peridynamic correspondence model. Mechanics Research Communications, 90, pp.34-41.

[255] Aguiar, A.R., Royer-Carfagni, G.F. and Seitenfuss, A.B., 2018. Wiggly strain localizations in peridynamic bars with non-convex potential. International Journal of Solids and Structures, 138, pp.1-12.

[256] Ren, B., Wu, C.T., Seleson, P., Zeng, D. and Lyu, D., 2018. A peridynamic failure analysis of fiber-reinforced composite laminates using finite element discontinuous Galerkin approximations. International Journal of Fracture, 214(1), pp.49-68.

[257] Challamel, N., 2018. Static and dynamic behaviour of nonlocal elastic bar using integral strain-based and peridynamic models. Comptes Rendus Mécanique, 346(4), pp.320-335.

[258] Bazazzadeh, S., Shojaei, A., Zaccariotto, M. and Galvanetto, U., 2018. Application of the peridynamic differential operator to the solution of sloshing problems in tanks. Engineering Computations.

[259] Freimanis, A. and Kaewunruen, S., 2018. Peridynamic Analysis of Rail Squats. Applied Sciences, 8(11), p.2299.

[260] Aguiar, A.R., Patriota, T.V.B., Royer-Carfagni, G. and Seitenfuss, A.B., 2018. Boundary layer effects in a finite linearly elastic peridynamic bar. Latin American Journal of Solids and Structures, 15(10).

[261] Wang, Y., Zhou, X. and Kou, M., 2019. An improved coupled thermo-mechanic bond-based peridynamic model for cracking behaviors in brittle solids subjected to thermal shocks. European Journal of Mechanics-A/Solids, 73, pp.282-305.

[262] Prakash, N., 2018. Calibrating Bond-Based Peridynamic Parameters Using a Novel Least Squares Approach. Journal of Peridynamics and Nonlocal Modeling, pp.1-11.

[263] Nikravesh, S. and Gerstle, W., 2018. Improved State-Based Peridynamic Lattice Model Including Elasticity, Plasticity and Damage. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 116(3), pp.323-347.

[264] Zhang, H. and Qiao, P., 2018. A coupled peridynamic strength and fracture criterion for open-hole failure analysis of plates under tensile load. Engineering Fracture Mechanics, 204, pp.103-118.

[265] Baber, F., Ranatunga, V. and Guven, I., 2018. Peridynamic modeling of low-velocity impact damage in laminated composites reinforced with z-pins. Journal of Composite Materials, p.0021998318774100.

[266] Zhao, J., Zhang, Q., Lu, G. and Chen, D., 2018, March. A Peridynamic Approach for Nanoscratch Simulation of the Cement Mortar. In IOP Conference Series: Materials Science and Engineering (Vol. 322, No. 4, p. 042004). IOP Publishing.

[267] Chen, J., Tian, Y. and Cui, X., 2018. Free and forced vibration analysis of peridynamic finite bar. International Journal of Applied Mechanics, 10(01), p.1850003.

[268] Lu, J., Zhang, Y., Muhammad, H. and Chen, Z., 2018. Peridynamic Model for the Numerical Simulation of Anchor Bolt Pullout in Concrete. Mathematical Problems in Engineering, 2018.

[269] Gao, Y. and Oterkus, S., 2018. Peridynamic Analysis of Marine Composites under Shock Loads by Considering Thermomechanical Coupling Effects. Journal of Marine Science and Engineering, 6(2), p.38.

[270] Jafari, A., Bahaaddini, R. and Jahanbakhsh, H., 2018. Numerical analysis of peridynamic and classical models in transient heat transfer, employing Galerkin approach. Heat Transfer—Asian Research, 47(3), pp.531-555.

[271] Aguiar, A.R. and Patriota, T.V.B., 2018. Numerical studies of unidimensional peridynamic problems. Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 6(1).

[272] Huang, Z., 2018. The singularity in the state-based peridynamic solution of uniaxial tension. Theoretical and Applied Mechanics Letters, 8(5), pp.351-354.

[273] Ahadi, A. and Krochmal, J., 2018. Anisotropic peridynamic model—Formulation and implementation. AIMS Materials Science, 5(4), pp.742-755.

[274] Willberg, C. and Rädel, M., 2018. An energy based peridynamic state‐based failure criterion. PAMM, 18(1), pp.1-2.

[275] Chung, W.J., Oterkus, E. and Lee, J.M., 2018. Peridynamic modeling for crack propagation analysis of materials. Journal of the Computational Structural Engineering Institute of Korea, 31(2), pp.105-114.

[276] Wang, F., Ma, Y.E., Guo, Y. and Huang, W., 2018. Numerical studies on mixed-mode crack propagation behavior for functionally graded material based on peridynamic theory. International Journal of Computational Materials Science and Engineering, 7(04), p.1850027.

[277] Mutnuri, V.S. and Gopalakrishnan, S., 2018. A comparative study of wave dispersion between discrete and continuum linear bond-based peridynamics systems: 1D framework. Mechanics Research Communications, 94, pp.40-44.

[278] Butt, S. and Meschke, G., 2018. A rate‐dependent damage model for prediction of high‐speed cracks. PAMM, 18(1), pp.1-2.

[279] Butt, S.N. and Meschke, G., 2018. Dynamic fracture modelling using Peridynamics. In Forschungskolloquium 2018 Grasellenbach (pp. 15-17). Springer Vieweg, Wiesbaden.

[280] Ghaffari, M.A., Gong, Y., Attarian, S. and Xiao, S., 2018. Peridynamics with Corrected Boundary Conditions and Its Implementation in Multiscale Modeling of Rolling Contact Fatigue. Journal of Multiscale Modelling, p.1841003.

[281] Bie, Y.H., Cui, X.Y. and Li, Z.C., 2018. A coupling approach of state-based peridynamics with node-based smoothed finite element method. Computer Methods in Applied Mechanics and Engineering, 331, pp.675-700.

[282] Behzadinasab, M., Vogler, T.J. and Foster, J.T., 2018, July. Modeling perturbed shock wave decay in granular materials with intra-granular fracture. In AIP Conference Proceedings (Vol. 1979, No. 1, p. 070005). AIP Publishing.

[283] Han, D., Zhang, Y., Wang, Q., Lu, W. and Jia, B., 2018. The review of the bond-based peridynamics modeling. Journal of Micromechanics and Molecular Physics, p.1830001.

[284] Zhou, X.P., Shou, Y.D. and Berto, F., 2018. Analysis of the plastic zone near the crack tips under the uniaxial tension using ordinary state‐based peridynamics. Fatigue & Fracture of Engineering Materials & Structures, 41(5), pp.1159-1170.

[285] Shafiei, A., 2018. Dynamic crack propagation in plates weakened by inclined cracks: an investigation based on peridynamics. Frontiers of Structural and Civil Engineering, 12(4), pp.527-535.

[286] Huang, Z., 2018. Noether’s theorem in peridynamics. Mathematics and Mechanics of Solids, p.1081286518812931.

[287] Ahadi, A. and Melin, S., 2018. Capturing nanoscale effects by peridynamics. Mechanics of Advanced Materials and Structures, 25(13), pp.1115-1120.

[288] Hafezi, M.H. and Kundu, T., 2018. Peri-ultrasound modeling of dynamic response of an interface crack showing wave scattering and crack propagation. Journal of Nondestructive Evaluation, Diagnostics and Prognostics of Engineering Systems, 1(1), p.011003.

[289] Buryachenko, V.A., 2018. Computational homogenization in linear elasticity of peristatic periodic structure composites. Mathematics and Mechanics of Solids, p.1081286518768039.

[290] Wang, H., Oterkus, E. and Oterkus, S., 2018. Predicting fracture evolution during lithiation process using peridynamics. Engineering Fracture Mechanics, 192, pp.176-191.

[291] Hafezi, M.H. and Kundu, T., 2018. Peri-ultrasound modeling for surface wave propagation. Ultrasonics, 84, pp.162-171.

[292] Martowicz, A., 2018. On nonlocal modeling in continuum mechanics. Mechanics and Control, 34(2), p.41.

[293] Jiang, X.W. and Wang, H., 2018. Ordinary state-based peridynamics for open-hole tensile strength prediction of fiber-reinforced composite laminates. Journal of Mechanics of Materials and Structures, 13(1), pp.53-82.

[294] Ahuja, P., Panchal, A. and Dahiya, M.S., 2018. INVESTIGATION OF THE IMPACT BEHAVIOR OF WINDOWPANE GLASS PLATES BY LOW VELOCITY 9MM SPHERICAL PROJECTILE. INTERNATIONAL JOURNAL OF SCIENTIFIC RESEARCH, 6(9).

[295] Wang, Y., Zhou, X. and Kou, M., 2018. A coupled thermo-mechanical bond-based peridynamics for simulating thermal cracking in rocks. International Journal of Fracture, pp.1-30.

[296] Luo, J. and Sundararaghavan, V., 2018. Stress-point method for stabilizing zero–energy modes in non–ordinary state–based peridynamics. International Journal of Solids and Structures.

[297] Foster, J.T. and Xu, X., 2018. A generalized, ordinary, finite deformation constitutive correspondence model for peridynamics. International Journal of Solids and Structures, 141, pp.245-253.

[298] Ru, Y., Yong, H. and Zhou, Y., 2018. Fracture analysis of bulk superconductors under electromagnetic force. Engineering Fracture Mechanics.

[299] Zhao, J., Tang, H. and Xue, S., 2018. Peridynamics versus XFEM: a comparative study for quasi-static crack problems. Frontiers of structural and civil engineering, 12(4), pp.548-557.

[300] Wang, J. and Zhang, X., 2018. Modified Particle Method with integral Navier–Stokes formulation for incompressible flows. Journal of Computational Physics, 366, pp.1-13.

[301] Diyaroglu, C., Madenci, E., Oterkus, S. and Oterkus, E., 2018. A Novel Moisture Diffusion Modeling Approach Using Finite Element Analysis. Electronics, 7(12), p.438.

[302] Liu, Z. and Li, X., 2018. A Fast Finite Difference Method for a Continuous Static Linear Bond-Based Peridynamics Model of Mechanics. Journal of Scientific Computing, 74(2), pp.728-742.

[303] Behzadinasab, M., Vogler, T.J., Peterson, A.M., Rahman, R. and Foster, J.T., 2018. Peridynamics Modeling of a Shock Wave Perturbation Decay Experiment in Granular Materials with Intra-granular Fracture. Journal of Dynamic Behavior of Materials, 4(4), pp.529-542.

[304] Liu, W., Yang, G. and Cai, Y., 2018. Modeling of failure mode switching and shear band propagation using the correspondence framework of peridynamics. Computers & Structures, 209, pp.150-162.

[305] Jha, P.K. and Lipton, R., 2018. Numerical convergence of nonlinear nonlocal continuum models to local elastodynamics. International Journal for Numerical Methods in Engineering.

[306] Giannakeas, I.N., Papathanasiou, T.K. and Bahai, H., 2018. Simulation of thermal shock cracking in ceramics using bond-based peridynamics and FEM. Journal of the European Ceramic Society, 38(8), pp.3037-3048.

[307] Wang, Q., Wang, Y., Zan, Y., Lu, W., Bai, X. and Guo, J., 2018. Peridynamics simulation of the fragmentation of ice cover by blast loads of an underwater explosion. Journal of Marine Science and Technology, 23(1), pp.52-66.

[308] Imachi, M., Tanaka, S. and Bui, T.Q., 2018. Mixed-mode dynamic stress intensity factors evaluation using ordinary state-based peridynamics. Theoretical and Applied Fracture Mechanics, 93, pp.97-104.

[309] Casolo, S. and Diana, V., 2018. Modelling laminated glass beam failure via stochastic rigid body-spring model and bond-based peridynamics. Engineering Fracture Mechanics, 190, pp.331-346.

[310] Du, Q., Tao, Y., Tian, X. and Yang, J., 2018. Asymptotically compatible discretization of multidimensional nonlocal diffusion models and approximation of nonlocal Green’s functions. IMA Journal of Numerical Analysis.

[311] Miranda, H.D., Orr, J. and Williams, C., 2018. Fast interaction functions for bond-based peridynamics. European Journal of Computational Mechanics, pp.1-30.

[312] Song, X. and Menon, S., 2018. Modeling of chemo-hydromechanical behavior of unsaturated porous media: a nonlocal approach based on integral equations. Acta Geotechnica, pp.1-21.

[313] Yang, D., Dong, W., Liu, X., Yi, S. and He, X., 2018. Investigation on mode-I crack propagation in concrete using bond-based peridynamics with a new damage model. Engineering Fracture Mechanics.

[314] Patra, S., Ahmed, H. and Banerjee, S., 2018. Peri-Elastodynamic Simulations of Guided Ultrasonic Waves in Plate-Like Structure with Surface Mounted PZT. Sensors, 18(1), p.274.

[315] Yu, Y., Bargos, F.F., You, H., Parks, M.L., Bittencourt, M.L. and Karniadakis, G.E., 2018. A partitioned coupling framework for peridynamics and classical theory: Analysis and simulations. Computer Methods in Applied Mechanics and Engineering.

[316] Breitzman, T. and Dayal, K., 2018. Bond-level deformation gradients and energy averaging in peridynamics. Journal of the Mechanics and Physics of Solids, 110, pp.192-204.

[317] Buryachenko, V.A., 2018. Effective elastic modulus of peristatic bar with periodically distributed damage. International Journal for Multiscale Computational Engineering, 16(1).

[318] Wang, Y.T., Zhou, X.P. and Kou, M.M., 2018. Three-dimensional numerical study on the failure characteristics of intermittent fissures under compressive-shear loads. Acta Geotechnica, pp.1-33.

[319] Li, S., Chen, Z., Tan, L. and Bobaru, F., 2018. Corrosion-induced embrittlement in ZK60A Mg alloy. Materials Science and Engineering: A, 713, pp.7-17.

[320] Gu, X., Madenci, E. and Zhang, Q., 2018. Revisit of non-ordinary state-based peridynamics. Engineering Fracture Mechanics, 190, pp.31-52.

[321] Chen, W., Zhu, F., Zhao, J., Li, S. and Wang, G., 2018, February. Peridynamics‐Based Fracture Animation for Elastoplastic Solids. In Computer Graphics Forum (Vol. 37, No. 1, pp. 112-124).

[322] Buryachenko, V.A., 2018. Effective elastic modulus of heterogeneous peristaic bar of periodic structure. Computers & Structures, 202, pp.129-139.

[323] Lejeune, E. and Linder, C., 2018. Understanding the relationship between cell death and tissue shrinkage via a stochastic agent-based model. Journal of biomechanics, 73, pp.9-17.

[324] Luo, J., Ramazani, A. and Sundararaghavan, V., 2018. Simulation of micro-scale shear bands using peridynamics with an adaptive dynamic relaxation method. International Journal of Solids and Structures, 130, pp.36-48.

[325] Coclite, G.M., Fanizzi, A., Lopez, L., Maddalena, F. and Pellegrino, S.F., 2018. Numerical methods for the nonlocal wave equation of the peridynamics. Applied Numerical Mathematics.

[326] Wang, Y., Zhou, X. and Kou, M., 2018. Numerical studies on thermal shock crack branching instability in brittle solids. Engineering Fracture Mechanics, 204, pp.157-184.

[327] Lai, X., Liu, L., Li, S., Zeleke, M., Liu, Q. and Wang, Z., 2018. A non-ordinary state-based peridynamics modeling of fractures in quasi-brittle materials. International Journal of Impact Engineering, 111, pp.130-146.

[328] Xu, Z., Zhang, G., Chen, Z. and Bobaru, F., 2018. Elastic vortices and thermally-driven cracks in brittle materials with peridynamics. International Journal of Fracture, 209(1-2), pp.203-222.

[329] Qu, P., Wan, Y., Bao, C., Sun, Q., Fang, G. and Takahashi, J., 2018. A new numerical method for the mechanical analysis of chopped carbon fiber tape-reinforced thermoplastics. Composite Structures, 201, pp.857-866.

[330] Lipton, R., Said, E. and Jha, P., 2018. Free damage propagation with memory. Journal of Elasticity, pp.1-25.

[331] Béda, P.B., 2018. Generic bifurcations in fractional thermo‐mechanics with peridyamic effects. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, p.e201800147.

[332] Lejeune, E. and Linder, C., 2018. Modeling mechanical inhomogeneities in small populations of proliferating monolayers and spheroids. Biomechanics and modeling in mechanobiology, 17(3), pp.727-743.

[333] Nicely, C., Tang, S. and Qian, D., 2018. Nonlocal matching boundary conditions for non-ordinary peridynamics with correspondence material model. Computer Methods in Applied Mechanics and Engineering, 338, pp.463-490.

[334] Javili, A., Morasata, R., Oterkus, E. and Oterkus, S., 2018. Peridynamics review. Mathematics and Mechanics of Solids, p.1081286518803411.

[335] Wang, H., Oterkus, E. and Oterkus, S., 2018. Three-dimensional peridynamic model to predict fracture evolution during lithiation process. Energies.

[336] Zhang, Y., Deng, J., Deng, H. and Ke, B., 2018. Peridynamics simulation of rock fracturing under liquid carbon dioxide blasting. International Journal of Damage Mechanics, p.1056789518807532.

2019

[337] Xia, W., Galadima, Y.K., Oterkus, E. and Oterkus, S., 2019. Representative volume element homogenization of a composite material by using bond-based peridynamics. Journal of Composites and Biodegradable Polymers, 7, pp.51-56.

[338] Jenabidehkordi, A. and Rabczuk, T., 2019. The Multi-Horizon Peridynamics. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 121(2), pp.493-500.

[339] Javili, A., McBride, A.T. and Steinmann, P., 2019. Continuum-kinematics-inspired peridynamics. Mechanical problems. Journal of the Mechanics and Physics of Solids, 131, pp.125-146.

[340] Ren, H., Zhuang, X. and Rabczuk, T., 2019. A Dual-Support Smoothed Particle Hydrodynamics for Weakly Compressible Fluid Inspired By the Dual-Horizon Peridynamics. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 121(2), pp.353-383.

[341] Zhang, Q., Wang, J., Zhuang, X., Ren, H., Rabczuk, T., Wang, X., Huang, Z., Wang, Y., Han, F., Lubineau, G. and Li, T., 2019. Introduction to the Special Issue on Recent Developments of Peridynamics.

[342] Ni, T., Zaccariotto, M., Zhu, Q.Z. and Galvanetto, U., 2019. Static solution of crack propagation problems in Peridynamics. Computer Methods in Applied Mechanics and Engineering, 346, pp.126-151.

[343] Diehl, P., Prudhomme, S. and Lévesque, M., 2019. A review of benchmark experiments for the validation of peridynamics models. Journal of Peridynamics and Nonlocal Modeling, 1(1), pp.14-35.

[344] Wang, X., Kulkarni, S.S. and Tabarraei, A., 2019. Concurrent coupling of peridynamics and classical elasticity for elastodynamic problems. Computer Methods in Applied Mechanics and Engineering, 344, pp.251-275.

[345] Chowdhury, S.R., Roy, P., Roy, D. and Reddy, J.N., 2019. A modified peridynamics correspondence principle: Removal of zero-energy deformation and other implications. Computer Methods in Applied Mechanics and Engineering, 346, pp.530-549.

[346] Martowicz, A., Bryła, J., Staszewski, W.J., Ruzzene, M. and Uhl, T., 2019. Nonlocal elasticity in shape memory alloys modeled using peridynamics for solving dynamic problems. Nonlinear Dynamics, pp.1-25.

[347] Song, X. and Khalili, N., 2019. A peridynamics model for strain localization analysis of geomaterials. International Journal for Numerical and Analytical Methods in Geomechanics, 43(1), pp.77-96.

[348] Mikata, Y., 2019. Linear peridynamics for isotropic and anisotropic materials. International Journal of Solids and Structures, 158, pp.116-127.

[349] Trask, N., You, H., Yu, Y. and Parks, M.L., 2019. An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics. Computer Methods in Applied Mechanics and Engineering, 343, pp.151-165.

[350] Pego, R.L. and Van, T.S., 2019. Existence of solitary waves in one dimensional peridynamics. Journal of Elasticity, 136(2), pp.207-236.

[351] Roy, P. and Roy, D., 2019. Peridynamics model for flexoelectricity and damage. Applied Mathematical Modelling, 68, pp.82-112.

[352] Shou, Y. and Zhou, X., 2019. A coupled thermomechanical nonordinary state‐based peridynamics for thermally induced cracking of rocks. Fatigue & Fracture of Engineering Materials & Structures.

[353] Nguyen, C.T. and Oterkus, S., 2019. Peridynamics formulation for beam structures to predict damage in offshore structures. Ocean Engineering, 173, pp.244-267.

[354] Chen, Z., Ju, J.W., Su, G., Huang, X., Li, S. and Zhai, L., 2019. Influence of micro-modulus functions on peridynamics simulation of crack propagation and branching in brittle materials. Engineering Fracture Mechanics, p.106498.

[355] Mehrmashhadi, J., Wang, L. and Bobaru, F., 2019. Uncovering the dynamic fracture behavior of PMMA with peridynamics: The importance of softening at the crack tip. Engineering Fracture Mechanics, 219, p.106617.

[356] Gu, X., Zhang, Q. and Madenci, E., 2019. Refined bond-based peridynamics for thermal diffusion. Engineering Computations, Vol. 36 No. 8, pp. 2557-2587.

[357] Das, S., Hoffarth, C., Ren, B., Spencer, B., Sant, G., Rajan, S.D. and Neithalath, N., 2019. Simulating the Fracture of Notched Mortar Beams through Extended Finite-Element Method and Peridynamics. Journal of Engineering Mechanics, 145(7), p.04019049.

[358] Pathrikar, A., Rahaman, M.M. and Roy, D., 2019. A thermodynamically consistent peridynamics model for visco-plasticity and damage. Computer Methods in Applied Mechanics and Engineering, 348, pp.29-63.

[359] Han, D., Zhang, Y., Wang, Q., Lu, W. and Jia, B., 2019. The review of the bond-based peridynamics modeling. Journal of Micromechanics and Molecular Physics.

[360] Zhu, F. and Zhao, J., 2019. Modeling continuous grain crushing in granular media: A hybrid peridynamics and physics engine approach. Computer Methods in Applied Mechanics and Engineering, 348, pp.334-355.

[361] Hillman, M., Pasetto, M. and Zhou, G., 2019. Generalized reproducing kernel peridynamics: unification of local and non-local meshfree methods, non-local derivative operations, and an arbitrary-order state-based peridynamic formulation. Computational Particle Mechanics, pp.1-35.

[362] Bie, Y., Li, S., Hu, X. and Cui, X., 2019. An implicit dual‐based approach to couple peridynamics with classical continuum mechanics. International Journal for Numerical Methods in Engineering, 120(12), pp.1349-1379.

[363] Nguyen, C.T. and Oterkus, S., 2019. Peridynamics for the thermomechanical behavior of shell structures. Engineering Fracture Mechanics, 219, p.106623.

[364] Imachi, M., Tanaka, S., Bui, T.Q., Oterkus, S. and Oterkus, E., 2019. A computational approach based on ordinary state-based peridynamics with new transition bond for dynamic fracture analysis. Engineering Fracture Mechanics, 206, pp.359-374.

[365] Gu, X., Zhang, Q., Madenci, E. and Xia, X., 2019. Possible causes of numerical oscillations in non-ordinary state-based peridynamics and a bond-associated higher-order stabilized model. Computer Methods in Applied Mechanics and Engineering, 357, p.112592.

[366] Kefal, A., Sohouli, A., Oterkus, E., Yildiz, M. and Suleman, A., 2019. Topology optimization of cracked structures using peridynamics. Continuum Mechanics and Thermodynamics, 31(6), pp.1645-1672.

[367] Scott, J. and Mengesha, T., 2019. A potential space estimate for solutions of systems of nonlocal equations in peridynamics. SIAM Journal on Mathematical Analysis, 51(1), pp.86-109.

[368] Nikpayam, J. and Kouchakzadeh, M.A., 2019. A variable horizon method for coupling meshfree peridynamics to FEM. Computer Methods in Applied Mechanics and Engineering, 355, pp.308-322.

[369] Sun, W. and Fish, J., 2019. Superposition-based coupling of peridynamics and finite element method. Computational Mechanics, 64(1), pp.231-248.

[370] Stenström, C. and Eriksson, K., 2019. The J-contour integral in peridynamics via displacements. International Journal of Fracture, 216(2), pp.173-183.

[371] Rokkam, S., Gunzburger, M., Brothers, M., Phan, N. and Goel, K., 2019. A nonlocal peridynamics modeling approach for corrosion damage and crack propagation. Theoretical and Applied Fracture Mechanics, 101, pp.373-387.

[372] Huang, Z., 2019. Noether’s theorem in peridynamics. Mathematics and Mechanics of Solids, 24(11), pp.3394-3402.

[373] Zhang, Y., Deng, H., Deng, J., Liu, C. and Ke, B., 2019. Peridynamics simulation of crack propagation of ring-shaped specimen like rock under dynamic loading. International Journal of Rock Mechanics and Mining Sciences, 123, p.104093.

[374] Zhang, Y., Pan, G., Zhang, Y. and Haeri, S., 2019. A multi-physics peridynamics-DEM-IB-CLBM framework for the prediction of erosive impact of solid particles in viscous fluids. Computer Methods in Applied Mechanics and Engineering, 352, pp.675-690.

[375] Zhang, Y., Deng, J., Deng, H. and Ke, B., 2019. Peridynamics simulation of rock fracturing under liquid carbon dioxide blasting. International Journal of Damage Mechanics, 28(7), pp.1038-1052.

[376] Huang, X., Bie, Z., Wang, L., Jin, Y., Liu, X., Su, G. and He, X., 2019. Finite element method of bond-based peridynamics and its ABAQUS implementation. Engineering Fracture Mechanics, 206, pp.408-426.

[377] Chen, J., Liao, H., Yang, B., Tian, Y., Xin, Y. and Yan, Z., 2019. Adaptive modeling of rock crack mechanism during drilling operation based on modified peridynamics. Engineering Fracture Mechanics, 217, p.106538.

[378] Xiong, W., Wang, C., Wang, C., Ma, Q.W. and Xu, P., 2019. Analysis of shadowing effect of propeller-ice milling conditions with peridynamics. Ocean Engineering, p.106591.

[379] Xue, Y., Liu, R., Liu, Y., Zeng, L. and Han, D., 2019. Numerical Simulations of the Ice Load of a Ship Navigating in Level Ice Using Peridynamics. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 121(2), pp.523-550.

[380] Hu, Y., Feng, G., Li, S., Sheng, W. and Zhang, C., 2019. Numerical modelling of ductile fracture in steel plates with non-ordinary state-based peridynamics. Engineering Fracture Mechanics.

[381] Shou, Y., Zhou, X. and Berto, F., 2019. 3D numerical simulation of initiation, propagation and coalescence of cracks using the extended non-ordinary state-based peridynamics. Theoretical and Applied Fracture Mechanics, 101, pp.254-268.

[382] Wang, J., Hu, W., Zhang, X. and Pan, W., 2019. Modeling heat transfer subject to inhomogeneous Neumann boundary conditions by smoothed particle hydrodynamics and peridynamics. International Journal of Heat and Mass Transfer, 139, pp.948-962.

[383] Fang, G., Liu, S., Fu, M., Wang, B., Wu, Z. and Liang, J., 2019. A method to couple state-based peridynamics and finite element method for crack propagation problem. Mechanics Research Communications, 95, pp.89-95.

[384] Shang, S., Qin, X., Li, H. and Cao, X., 2019. An application of non-ordinary state-based peridynamics theory in cutting process modelling of unidirectional carbon fiber reinforced polymer material. Composite Structures, 226, p.111194.

[385] Madenci, E., Dorduncu, M., Phan, N. and Gu, X., 2019. Weak form of bond-associated non-ordinary state-based peridynamics free of zero energy modes with uniform or non-uniform discretization. Engineering Fracture Mechanics, 218, p.106613.

[386] Wildman, R.A., 2019. Discrete Micromodulus Functions for Reducing Wave Dispersion in Linearized Peridynamics. Journal of Peridynamics and Nonlocal Modeling, 1(1), pp.56-73.

[387] Zhang, T. and Zhou, X., 2019. A modified axisymmetric ordinary state-based peridynamics with shear deformation for elastic and fracture problems in brittle solids. European Journal of Mechanics-A/Solids, p.103810.

[388] Zhou, G. and Hillman, M., 2019. A non-ordinary state-based Godunov-peridynamics formulation for strong shocks in solids. Computational Particle Mechanics, pp.1-11.

[389] Sun, B., Li, S., Gu, Q. and Ou, J., 2019. Coupling of peridynamics and numerical substructure method for modeling structures with local discontinuities. Computer Modeling in Engineering & Sciences, 120(3), pp.739-757.

[390] Gur, S., Sadat, M.R., Frantziskonis, G.N., Bringuier, S., Zhang, L. and Muralidharan, K., 2019. The effect of grain-size on fracture of polycrystalline silicon carbide: A multiscale analysis using a molecular dynamics-peridynamics framework. Computational Materials Science, 159, pp.341-348.

[391] Ni, T., Zaccariotto, M., Zhu, Q.Z. and Galvanetto, U., 2019. Coupling of FEM and ordinary state-based peridynamics for brittle failure analysis in 3D. Mechanics of Advanced Materials and Structures, pp.1-16.

[392] Asgari, M. and Kouchakzadeh, M.A., 2019. An equivalent von Mises stress and corresponding equivalent plastic strain for elastic–plastic ordinary peridynamics. Meccanica, 54(7), pp.1001-1014.

[393] Sun, W., Fish, J. and Zhang, G., 2019. Superposition of non-ordinary state-based peridynamics and finite element method for material failure simulations. Meccanica, pp.1-19.

[394] Li, W. and Guo, L., 2019. Dual-Horizon Peridynamics Analysis of Debonding Failure in FRP-to-Concrete Bonded Joints. International Journal of Concrete Structures and Materials, 13(1), p.26.

[395] Wang, X. and Huang, Z., 2019. A Possible Reason About Origin of Singularity and Anomalous Dispersion in Peridynamics. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 121(2), pp.385-398.

[396] Mohammadzadeh Honarvar, F., Pourabbas, B., Salami Hosseini, M., Kharazi, M. and Erfan-Niya, H., 2019. Multi-scale simulation of SU8 and SU8-graphene nanocomposites: Bridging atomistic to macroscale peridynamics. Scientia Iranica, 26(3), pp.1962-1972.

[397] Jia, B., Ju, L. and Wang, Q., 2019. Numerical Simulation of Dynamic Interaction Between Ice and Wide Vertical Structure Based on Peridynamics. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 121(2), pp.501-522.

[398] Willberg, C., Wiedemann, L. and Rädel, M., 2019. A mode-dependent energy-based damage model for peridynamics and its implementation. Journal of Mechanics of Materials and Structures, 14(2), pp.193-217.

[399] Liu, R., Yan, J. and Li, S., 2019. Modeling and simulation of ice–water interactions by coupling peridynamics with updated Lagrangian particle hydrodynamics. Computational Particle Mechanics, pp.1-15.

[400] Lu, J., Zhang, Y., Muhammad, H., Chen, Z., Xiao, Y. and Ye, B., 2019. 3D analysis of anchor bolt pullout in concrete materials using the non-ordinary state-based peridynamics. Engineering Fracture Mechanics, 207, pp.68-85.

[401] Alimov, S. and Sheraliev, S., 2019. On the solvability of the singular equation of peridynamics. Complex Variables and Elliptic Equations, 64(5), pp.873-887.

[402] Zhao, J., 2019. Modelling of crack growth using a new fracture criteria based peridynamics. Journal of Applied and Computational Mechanics, 5, pp.498-516.

[403] Ghaffari, M.A., Gong, Y., Attarian, S. and Xiao, S., 2019. Peridynamics with Corrected Boundary Conditions and Its Implementation in Multiscale Modeling of Rolling Contact Fatigue. Journal of Multiscale Modelling, 10(01), p.1841003.

[404] Li, T., Gu, X., Zhang, Q. and Lei, D., 2019. Coupled Digital Image Correlation and Peridynamics for Full-Field Deformation Measurement and Local Damage Prediction. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 121(2), pp.425-444.

[405] Hidayat, M.I.P., 2019, August. On Impact Problems Of Projectile Using Meshless Peridynamics Analysis. In IOP Conference Series: Materials Science and Engineering (Vol. 547, No. 1, p. 012019). IOP Publishing.

[406] ZHOU, X., WANG, Y. and QIAN, Q., 2019. Numerical simulations of failure characteristics of rock materials under blasting loads using the conjugated bond-pair-based peridynamics. SCIENTIA SINICA Physica, Mechanica & Astronomica, 50(2), p.024607.

[407] Song, Y., Yu, H. and Kang, Z., 2019. Numerical study on ice fragmentation by impact based on non-ordinary state-based peridynamics. Journal of Micromechanics and Molecular Physics, 4(01), p.1850006.

[408] LIU, S., FANG, G., FU, M., WANG, B. and LIANG, J., 2019. Study of composite material damage problem using coupled peridynamics and finite element method. SCIENTIA SINICA Technologica, 49(10), pp.1215-1222.

[409] Cheng, Z., Jin, D., Yuan, C. and Li, L., 2019. Dynamic fracture analysis of functionally gradient materials with two cracks by peridynamic modeling. Computer Modeling in Engineering & Sciences, 121(2), pp.445-464.

[410] Song, Y., Yan, J., Li, S. and Kang, Z., 2019. Peridynamic Modeling and Simulation of Ice Craters By Impact. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 121(2), pp.465-492.

[411] Silling, S.A. and Madenci, E., 2019. The World Is Nonlocal. Journal of Peridynamics and Nonlocal Modeling, 1(1), pp.1-2.

[412] Dördüncü, M., 2019. Peridynamics for the Solution of the Steady State Heat Conduction Problem in Plates with Insulated Cracks. Journal of Aeronautics and Space Technologies, 12(2), pp.145-155.

[413] Becker, M. and Müller, G., 2019. Coupling Peridynamic Continuum Mechanics with an Analytical Solution. PAMM, 19(1), p.e201900293.

[414] Shishesaz, M., Shariati, M., Yaghootian, A. and Alizadeh, A., 2019. Nonlinear Vibration Analysis of Nano-Disks Based on Nonlocal Elasticity Theory Using Homotopy Perturbation Method. International Journal of Applied Mechanics, 11(02), p.1950011.

[415] Ha, Y.D., 2019. Dynamic fracture analysis for 2D multilayered glass structures considering interlayer effects. Journal of Mechanical Science and Technology, 33(8), pp.3641-3648.

[416] Aksoylu, B. and Kaya, A., 2019. On smoothers for multigrid of the second kind. Numerical Linear Algebra with Applications, 26(6), p.e2267.

[417] Deng, X. and Wang, B., 2019. Peridynamic modeling of dynamic damage of polymer bonded explosive. Computational Materials Science, p.109405.

[418] Hematiyan, M.R., Arezou, M., Dezfouli, N.K. and Khoshroo, M., 2019. Some Remarks on the Method of Fundamental Solutions for TwoDimensional Elasticity. CMES-Computer Modeling in Engineering & Sciences, 121(2), pp.661-686.

[419] Celik, E., Oterkus, E. and Guven, I., 2019. Peridynamic simulations of nanoindentation tests to determine elastic modulus of polymer thin films. Journal of Peridynamics and Nonlocal Modeling, 1(1), pp.36-44.

[420] Radu, P. and Wells, K., 2019. A doubly nonlocal laplace operator and its connection to the classical laplacian. Journal of Integral Equations and Applications, 31(3), pp.379-409.

[421] Nguyen, C.T. and Oterkus, S., 2019. Ordinary state-based peridynamic model for geometrically nonlinear analysis. Engineering Fracture Mechanics, p.106750.

[422] Shi, C., Gong, Y., Yang, Z.G. and Tong, Q., 2019. Peridynamic investigation of stress corrosion cracking in carbon steel pipes. Engineering Fracture Mechanics, 219, p.106604.

[423] Jiang, X.W., Wang, H. and Guo, S., 2019. Peridynamic Open-Hole Tensile Strength Prediction of Fiber-Reinforced Composite Laminate Using Energy-Based Failure Criteria. Advances in Materials Science and Engineering, 2019.

[424] Ma, P., Li, S., Zhou, H., Zhao, S., Wang, P., Wan, Z. and Zhi, B., 2019. Peridynamic method to determine energy absorption characteristics of ordinary glass under impact load. International Journal of Crashworthiness, pp.1-9.

[425] Postek, E., PĘCHERSKI, R. and Nowak, Z., 2019. PERIDYNAMIC SIMULATION OF CRUSHING PROCESSES IN COPPER OPEN-CELL FOAM. ARCHIVES OF METALLURGY AND MATERIALS, 64(4), pp.1603-1610.

[426] Lipton, R.P., Lehoucq, R.B. and Jha, P.K., 2019. Complex fracture nucleation and evolution with nonlocal elastodynamics. Journal of Peridynamics and Nonlocal Modeling, 1(2), pp.122-130.

[427] Behzadinasab, M. and Foster, J.T., 2019. The third Sandia Fracture Challenge: peridynamic blind prediction of ductile fracture characterization in additively manufactured metal. International Journal of Fracture, pp.1-13.

[428] Butt, S. and Meschke, G., 2019. Peridynamic investigation of dynamic brittle fracture. PAMM, 19(1), p.e201900180.

[429] Gök, E., 2019. Peridynamic Modeling of an Isotropic Plate under Tensile and Flexural Loading. International Journal of Aerospace and Mechanical Engineering, 13(9), pp.622-625.

[430] Kim, M., Winovich, N., Lin, G. and Jeong, W., 2019. Peri-Net: Analysis of Crack Patterns Using Deep Neural Networks. Journal of Peridynamics and Nonlocal Modeling, 1(2), pp.131-142.

[431] Conradie, J.H., Becker, T.H. and Turner, D.Z., 2019. Peridynamic Approach to Predict Ductile and Mixed-Mode Failure. R&D Journal, 35, pp.1-8.

[432] Yang, Z., Oterkus, E., Nguyen, C.T. and Oterkus, S., 2019. Implementation of peridynamic beam and plate formulations in finite element framework. Continuum Mechanics and Thermodynamics, 31(1), pp.301-315.

[433] Kamensky, D., Behzadinasab, M., Foster, J.T. and Bazilevs, Y., 2019. Peridynamic Modeling of Frictional Contact. Journal of Peridynamics and Nonlocal Modeling, pp.1-15.

[434] Willberg, C., Rädel, M. and Heinecke, F., 2019. Verification and Validation of a 2D energy based peridynamic state‐based failure criterion. PAMM, 19(1), p.e201900331.

[435] Abbasiniyan, L., 2019. Fracture analysis of pre-cracked and notched thin plates using peridynamic theory. Journal of Computational & Applied Research in Mechanical Engineering (JCARME).

[436] SHIIHARA, Y., TANAKA, S. and YOSHIKAWA, N., 2019. Fast quasi-implicit NOSB peridynamic simulation based on FIRE algorithm. Mechanical Engineering Journal, 6(3), pp.18-00363.

[437] Lee, J. and Hong, J.W., 2019. Morphological aspects of crack growth in rock materials with various flaws. International Journal for Numerical and Analytical Methods in Geomechanics, 43(10), pp.1854-1866.

[438] Zhang, H., Qiao, P. and Lu, L., 2019. Failure analysis of plates with singular and non-singular stress raisers by a coupled peridynamic model. International Journal of Mechanical Sciences, 157, pp.446-456.

[439] Li, P., Hao, Z., Yu, S. and Zhen, W., 2019. Implicit implementation of the stabilized non‐ordinary state‐based peridynamic model. International Journal for Numerical Methods in Engineering.

[440] Chen, J., Jiang, W., Wang, Q. and Zhang, Y., 2019. Peridynamic analysis of drill-induced borehole damage. Engineering Failure Analysis.

[441] Prakash, N., 2019. Calibrating Bond-Based Peridynamic Parameters Using a Novel Least Squares Approach. Journal of Peridynamics and Nonlocal Modeling, 1(1), pp.45-55.

[442] Wan, J., Chen, Z., Chu, X. and Liu, H., 2019. Improved method for zero-energy mode suppression in peridynamic correspondence model. Acta Mechanica Sinica, 35(5), pp.1021-1032.

[443] Wang, H., Xu, Y. and Huang, D., 2019. A non-ordinary state-based peridynamic formulation for thermo-visco-plastic deformation and impact fracture. International Journal of Mechanical Sciences.

[444] Wu, L., Huang, D., Xu, Y. and Wang, L., 2019. A Non-Ordinary State-Based Peridynamic Formulation for Failure of Concrete Subjected to Impacting Loads. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 118(3), pp.561-581.

[445] Cheng, Z., Wang, Z. and Luo, Z., 2019. Dynamic Fracture Analysis for Shale Material by Peridynamic Modelling. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 118(3), pp.509-527.

[446] Huang, Z., 2019. Revisiting the peridynamic motion equation due to characterization of boundary conditions. Acta Mechanica Sinica, pp.1-9.

[447] Song, Y., Liu, R., Li, S., Kang, Z. and Zhang, F., 2019. Peridynamic modeling and simulation of coupled thermomechanical removal of ice from frozen structures. Meccanica, pp.1-16.

[448] Stewart, R.J. and Jeon, B., 2019. Decoupling Strength and Grid Resolution in Peridynamic Theory. Journal of Peridynamics and Nonlocal Modeling, pp.1-10.

[449] Wang, Y., Han, F. and Lubineau, G., 2019. A Hybrid Local/Nonlocal Continuum Mechanics Modeling and Simulation of Fracture in Brittle Materials. Computer Modeling in Engineering & Sciences, 121(2), pp.399-423.

[450] Wang, F., Ma, Y.E., Guo, Y. and Huang, W., 2019. Studies on Quasi-Static and Fatigue Crack Propagation Behaviours in Friction Stir Welded Joints Using Peridynamic Theory. Advances in Materials Science and Engineering, 2019.

[451] Yang, N.N., Zhao, T.Y., Gu, J.G. and Chen, Z.P., 2019. Damage and fracture analysis of bolted joints of composite materials based on peridynamic theory. Polish Maritime Research.

[452] Buryachenko, V.A., 2019. Modeling of One Inclusion in the Infinite Peristatic Matrix Subjected to Homogeneous Remote Loading. Journal of Peridynamics and Nonlocal Modeling, pp.1-13.

[453] Ha, Y.D., 2019. Dynamic Fracture Analysis of High-speed Impact on Granite with Peridynamic Plasticity. Journal of the Computational Structural Engineering Institute of Korea, 32(1), pp.37-44.

[454] Chen, Z., Wan, J., Chu, X. and Liu, H., 2019. Two Cosserat peridynamic models and numerical simulation of crack propagation. Engineering Fracture Mechanics, 211, pp.341-361.

[455] Ha, Y.D., 2019. Characteristics of Dynamic Wave Propagation in Peridynamic Analysis with Nonlocal Ghost Interlayer. Journal of the Computational Structural Engineering Institute of Korea, 32(4), pp.257-263.

[456] Waxman, R. and Guven, I., 2019. An experimental and peridynamic study of the erosion of optical glass targets due to sand and sphere microparticles. Wear, 428, pp.340-355.

[457] Evgrafov, A. and Bellido, J.C., 2019. Sensitivity filtering from the non-local perspective. Structural and Multidisciplinary Optimization, pp.1-4.

[458] Gu, Q., Wang, L. and Huang, S., 2019. Integration of peridynamic theory and opensees for solving problems in civil engineering. Computer Modeling in Engineering & Sciences, 120(3), pp.471-489.

[459] Rädel, M., Willberg, C. and Krause, D., 2019. Peridynamic analysis of fibre-matrix debond and matrix failure mechanisms in composites under transverse tensile load by an energy-based damage criterion. Composites Part B: Engineering, 158, pp.18-27.

[460] Hou, D., Zhang, W., Wang, P. and Ma, H., 2019. Microscale peridynamic simulation of damage process of hydrated cement paste subjected to tension. Construction and Building Materials, 228, p.117053.

[461] Chen, H. and Spencer, B.W., 2019. Peridynamic bond‐associated correspondence model: Stability and convergence properties. International Journal for Numerical Methods in Engineering, 117(6), pp.713-727.

[462] Menon, S. and Song, X., 2019. Coupled Analysis of Desiccation Cracking in Unsaturated Soils through a Non-Local Mathematical Formulation. Geosciences, 9(10), p.428.

[463] Madenci, E., Dorduncu, M. and Gu, X., 2019. Peridynamic least squares minimization. Computer Methods in Applied Mechanics and Engineering, 348, pp.846-874.

[464] Guo, J., Gao, W., Liu, Z., Yang, X. and Li, F., 2019. Study of Dynamic Brittle Fracture of Composite Lamina Using a Bond-Based Peridynamic Lattice Model. Advances in Materials Science and Engineering, 2019.

[465] Wang, J. and Zhang, X., 2019. Improved Moving Particle Semi-implicit method for multiphase flow with discontinuity. Computer Methods in Applied Mechanics and Engineering, 346, pp.312-331.

[466] Gao, Y. and Oterkus, S., 2019. Nonlocal numerical simulation of low Reynolds number laminar fluid motion by using peridynamic differential operator. Ocean Engineering, 179, pp.135-158.

[467] Ye, L.Y., Guo, C.Y., Wang, C., Wang, C.H. and Chang, X., 2019. Peridynamic solution for submarine surfacing through ice. Ships and Offshore Structures, pp.1-15.

[468] Pelech, P., 2019. The peridynamic stress tensors and the non‐local to local passage. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 99(6), p.e201800010.

[469] Alebrahim, R., 2019. Peridynamic modeling of Lamb wave propagation in bimaterial plates. Composite Structures, 214, pp.12-22.

[470] Basoglu, M.F., Zerin, Z., Kefal, A. and Oterkus, E., 2019. A computational model of peridynamic theory for deflecting behavior of crack propagation with micro-cracks. Computational Materials Science, 162, pp.33-46.

[471] Deng, X. and Sun, S., 2019. Numerical investigation of impact breakage mechanisms of two spherical particles. Powder Technology.

[472] Diyaroglu, C., Madenci, E. and Phan, N., 2019. Peridynamic homogenization of microstructures with orthotropic constituents in a finite element framework. Composite Structures, 227, p.111334.

[473] Zhang, Y., Cheng, Z. and Feng, H., 2019. Dynamic Fracture Analysis of Functional Gradient Material Coating Based on the Peridynamic Method. Coatings, 9(1), p.62.

[474] Jiang, X.W., Guo, S., Li, H. and Wang, H., 2019. Peridynamic Modeling of Mode-I Delamination Growth in Double Cantilever Composite Beam Test: A Two-Dimensional Modeling Using Revised Energy-Based Failure Criteria. Applied Sciences, 9(4), p.656.

[475] Gu, X., Zhang, Q. and Madenci, E., 2019. Non-ordinary state-based peridynamic simulation of elastoplastic deformation and dynamic cracking of polycrystal. Engineering Fracture Mechanics, 218, p.106568.

[476] Huang, X., Li, S., Jin, Y., Yang, D., Su, G. and He, X., 2019. Analysis on the influence of Poisson’s ratio on brittle fracture by applying uni-bond dual-parameter peridynamic model. Engineering Fracture Mechanics, 222, p.106685.

[477] Diana, V. and Casolo, S., 2019. A full orthotropic micropolar peridynamic formulation for linearly elastic solids. International Journal of Mechanical Sciences.

[478] Gao, Y. and Oterkus, S., 2019. Ordinary state-based peridynamic modelling for fully coupled thermoelastic problems. Continuum Mechanics and Thermodynamics, 31(4), pp.907-937.

[479] Bazazzadeh, S., Zaccariotto, M. and Galvanetto, U., 2019. Fatigue degradation strategies to simulate crack propagation using peridynamic based computational methods. Latin American Journal of Solids and Structures, 16(2).

[480] Zhao, W. and Hon, Y.C., 2019. An accurate and efficient numerical method for solving linear peridynamic models. Applied Mathematical Modelling, 74, pp.113-131.

[481] Chen, H., 2019. A comparison study on peridynamic models using irregular non-uniform spatial discretization. Computer Methods in Applied Mechanics and Engineering, 345, pp.539-554.

[482] Yang, D., He, X., Yi, S. and Liu, X., 2019. An improved ordinary state-based peridynamic model for cohesive crack growth in quasi-brittle materials. International Journal of Mechanical Sciences, 153, pp.402-415.

[483] Zhang, Y., Deng, H., Deng, J., Liu, C. and Yu, S., 2019. Peridynamic simulation of crack propagation of non-homogeneous brittle rock-like materials. Theoretical and Applied Fracture Mechanics, p.102438.

[484] Ru, Y., Yong, H. and Zhou, Y., 2019. Numerical simulation of dynamic fracture behavior in bulk superconductors with an electromagnetic-thermal model. Superconductor Science and Technology, 32(7), p.074001.

[485] Wang, Y., Zhou, X. and Zhang, T., 2019. Size effect of thermal shock crack patterns in ceramics: Insights from a nonlocal numerical approach. Mechanics of Materials, 137, p.103133.

[486] Martowicz, A., Roemer, J., Staszewski, W.J., Ruzzene, M. and Uhl, T., 2019. Solving partial differential equations in computational mechanics via nonlocal numerical approaches. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 99(4), p.e201800342.

2020

[487] Trageser, J. and Seleson, P., 2020. Bond-based peridynamics: A tale of two Poisson's ratios. Journal of Peridynamics and Nonlocal Modeling, 2, pp.278-288.

[488] Shojaei, A., Hermann, A., Seleson, P. and Cyron, C. J., 2020. Dirichlet absorbing boundary conditions for classical and peridynamic diffusion-type models. Computational Mechanics.

[489] Liu, S., Fang, G., Liang, J., Fu, M. and Wang, B., 2020. A new type of peridynamics: Element-based peridynamics. Computer Methods in Applied Mechanics and Engineering, 366, p.113098.

[490] Yu, H. and Li, S., 2020. On energy release rates in Peridynamics. Journal of the Mechanics and Physics of Solids, p.104024.

[491] Gao, C., Zhou, Z., Li, Z., Li, L. and Cheng, S., 2020. Peridynamics simulation of surrounding rock damage characteristics during tunnel excavation. Tunnelling and Underground Space Technology, 97, p.103289.

[492] Wang, B., Oterkus, S. and Oterkus, E., 2020. Determination of horizon size in state-based peridynamics. Continuum Mechanics and Thermodynamics, pp.1-24.

[493] Behzadinasab, M. and Foster, J.T., 2020. A semi-Lagrangian constitutive correspondence framework for peridynamics. Journal of the Mechanics and Physics of Solids, 137, p.103862.

[494] Behzadinasab, M. and Foster, J.T., 2020. On the stability of the generalized, finite deformation correspondence model of peridynamics. International Journal of Solids and Structures, 182, pp.64-76.

[495] Imachi, M., Tanaka, S., Ozdemir, M., Bui, T.Q., Oterkus, S. and Oterkus, E., 2020. Dynamic crack arrest analysis by ordinary state-based peridynamics. International Journal of Fracture, 221(2), pp.155-169.

[496] Jones, L.D., Vandeperre, L.J., Haynes, T.A. and Wenman, M.R., 2020. Theory and application of Weibull distributions to 1D peridynamics for brittle solids. Computer Methods in Applied Mechanics and Engineering, 363, p.112903.

[497] Javili, A., Firooz, S., McBride, A.T. and Steinmann, P., 2020. The computational framework for continuum-kinematics-inspired peridynamics. Computational Mechanics, 66(4), pp.795-824.

[498] Tong, Y., Shen, W., Shao, J. and Chen, J., 2020. A new bond model in peridynamics theory for progressive failure in cohesive brittle materials. Engineering Fracture Mechanics, 223, p.106767.

[499] Ozdemir, M., Kefal, A., Imachi, M., Tanaka, S. and Oterkus, E., 2020. Dynamic fracture analysis of functionally graded materials using ordinary state-based peridynamics. Composite Structures, 244, p.112296.

[500] Katiyar, A., Agrawal, S., Ouchi, H., Seleson, P., Foster, J.T. and Sharma, M.M., 2020. A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media. Journal of Computational Physics, 402, p.109075.

[501] Heo, J., Yang, Z., Xia, W., Oterkus, S. and Oterkus, E., 2020. Buckling analysis of cracked plates using peridynamics. Ocean Engineering, 214, p.107817.

[502] Nguyen, C.T. and Oterkus, S., 2020. Investigating the effect of brittle crack propagation on the strength of ship structures by using peridynamics. Ocean Engineering, 209, p.107472.

[503] Liu, Z., Bie, Y., Cui, Z. and Cui, X., 2020. Ordinary state-based peridynamics for nonlinear hardening plastic materials' deformation and its fracture process. Engineering Fracture Mechanics, 223, p.106782.

[504] Yang, D., He, X., Liu, X., Deng, Y. and Huang, X., 2020. A peridynamics-based cohesive zone model (PD-CZM) for predicting cohesive crack propagation. International Journal of Mechanical Sciences, 184, p.105830.

[505] Li, M., Lu, W., Oterkus, E. and Oterkus, S., 2020. Thermally-induced fracture analysis of polycrystalline materials by using peridynamics. Engineering Analysis with Boundary Elements, 117, pp.167-187.

[506] Sohouli, A., Kefal, A., Abdelhamid, A., Yildiz, M. and Suleman, A., 2020. Continuous density-based topology optimization of cracked structures using peridynamics. Structural and Multidisciplinary Optimization, 62, pp.2375-2389.

[507] Vazic, B., Oterkus, E. and Oterkus, S., 2020. In-plane and out-of plane failure of an ice sheet using peridynamics. Journal of Mechanics, 36(2), pp.265-271.

[508] Mikata, Y., 2020. Linear peridynamics for triclinic materials. Mathematics and Mechanics of Solids, p.1081286520969880.

[509] Agrawal, S., Zheng, S., Foster, J.T. and Sharma, M.M., 2020. Coupling of meshfree peridynamics with the Finite Volume Method for poroelastic problems. Journal of Petroleum Science and Engineering, 192, p.107252.

[510] Bie, Y.H., Liu, Z.M., Yang, H. and Cui, X.Y., 2020. Abaqus implementation of dual peridynamics for brittle fracture. Computer Methods in Applied Mechanics and Engineering, 372, p.113398.

[511] Wu, L., Huang, D., Xu, Y. and Wang, L., 2020. A rate-dependent dynamic damage model in peridynamics for concrete under impact loading. International Journal of Damage Mechanics, 29(7), pp.1035-1058.

[512] Sun, W.K., Zhang, L.W. and Liew, K.M., 2020. A smoothed particle hydrodynamics–peridynamics coupling strategy for modeling fluid–structure interaction problems. Computer Methods in Applied Mechanics and Engineering, 371, p.113298.

[513] Yan, H., Sedighi, M. and Jivkov, A.P., 2020. Peridynamics modelling of coupled water flow and chemical transport in unsaturated porous media. Journal of Hydrology, 591, p.125648.

[514] Wan, J., Chen, Z., Chu, X. and Liu, H., 2020. Dependency of single-particle crushing patterns on discretization using peridynamics. Powder Technology, 366, pp.689-700.

[515] Liu, R., Yan, J. and Li, S., 2020. Modeling and simulation of ice–water interactions by coupling peridynamics with updated Lagrangian particle hydrodynamics. Computational Particle Mechanics, 7(2), pp.241-255.

[516] Liu, S., Fang, G., Liang, J. and Lv, D., 2020. A coupling model of XFEM/peridynamics for 2D dynamic crack propagation and branching problems. Theoretical and Applied Fracture Mechanics, 108, p.102573.

[517] Mutnuri, V.S. and Gopalakrishnan, S., 2020. A re-examination of wave dispersion and on equivalent spatial gradient of the integral in bond-based peridynamics. Journal of Peridynamics and Nonlocal Modeling, 2(3), pp.243-277.

[518] Tong, Y., Shen, W.Q. and Shao, J.F., 2020. An adaptive coupling method of state-based peridynamics theory and finite element method for modeling progressive failure process in cohesive materials. Computer Methods in Applied Mechanics and Engineering, 370, p.113248.

[519] Giannakeas, I.N., Papathanasiou, T.K., Fallah, A.S. and Bahai, H., 2020. Coupling XFEM and peridynamics for brittle fracture simulation—part I: feasibility and effectiveness. Computational Mechanics, 66(1), pp.103-122.

[520] Zheng, G., Shen, G., Hu, P. and Xia, Y., 2020. Coupling approach of isogeometric analysis with non-ordinary state-based peridynamics. European Journal of Mechanics-A/Solids, 82, p.103981.

[521] Mikata, Y., 2020. Peridynamics for heat conduction. Journal of Heat Transfer.

[522] Haynes, T.A., Shepherd, D. and Wenman, M.R., 2020. Preliminary modelling of crack nucleation and propagation in SiC/SiC accident-tolerant fuel during routine operational transients using peridynamics. Journal of Nuclear Materials, 540, p.152369.

[523] Yang, D., He, X., Yi, S., Deng, Y. and Liu, X., 2020. Coupling of peridynamics with finite elements for brittle crack propagation problems. Theoretical and Applied Fracture Mechanics, 107, p.102505.

[524] Guski, V., Verestek, W., Oterkus, E. and Schmauder, S., 2020. Microstructural investigation of plasma sprayed ceramic coatings using peridynamics. Journal of Mechanics, 36(2), pp.183-196.

[525] Shen, F., Yu, Y., Zhang, Q. and Gu, X., 2020. Hybrid model of peridynamics and finite element method for static elastic deformation and brittle fracture analysis. Engineering Analysis with Boundary Elements, 113, pp.17-25.

[526] Li, W. and Guo, L., 2020. A mechanical-diffusive peridynamics coupling model for meso-scale simulation of chloride penetration in concrete under loadings. Construction and Building Materials, 241, p.118021.

[527] Zhang, X. and Xu, Z., 2020. Dispersion of an SH-guided wave in weld seam based on peridynamics theory. Mathematical Problems in Engineering, 2020.

[528] Dong, Y., Su, C. and Qiao, P., 2020. An improved mesoscale damage model for quasi-brittle fracture analysis of concrete with ordinary state-based peridynamics. Theoretical and Applied Fracture Mechanics, p.102829.

[529] Nayak, S., Ravinder, R., Krishnan, N.M. and Das, S., 2020. A peridynamics-based micromechanical modeling approach for random heterogeneous structural materials. Materials, 13(6), p.1298.

[530] Xiong, W., Wang, C., Wang, C., Ma, Q.W. and Xu, P., 2020. Analysis of shadowing effect of propeller-ice milling conditions with peridynamics. Ocean Engineering, 195, p.106591.

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[554] Gao, Y. and Oterkus, S., 2020. Fluid-elastic structure interaction simulation by using ordinary state-based peridynamics and peridynamic differential operator. Engineering Analysis with Boundary Elements, 121.

[555] Jiang, F., Shen, Y. and Cheng, J.B., 2020. An energy-based ghost-force-free multivariate coupling scheme for bond-based peridynamics and classical continuum mechanics. Engineering Fracture Mechanics, 240, p.107316.

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[558] Heo, J., Yang, Z., Xia, W., Oterkus, S. and Oterkus, E., 2020. Free vibration analysis of cracked plates using peridynamics. Ships and Offshore Structures, pp.1-10.

[559] Li, T., Gu, X., Zhang, Q. and Xia, X., 2020. Elastoplastic Constitutive Modeling for Reinforced Concrete in Ordinary State-Based Peridynamics. Journal of Mechanics, 36(6), pp.799-811.

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[563] Wang, B., Oterkus, S. and Oterkus, E., 2020. Thermal diffusion analysis by using dual horizon peridynamics. Journal of Thermal Stresses, 44(1), pp.51-74.

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[573] Li, M., Oterkus, S. and Oterkus, E., 2020. Investigation of the effect of porosity on intergranular brittle fracture using peridynamics. Procedia Structural Integrity, 28, pp.472-481.

[574] Wu, L., Huang, D. and Bobaru, F., A reformulated rate-dependent visco-elastic model for dynamic deformation and fracture of PMMA with peridynamics. International Journal of Impact Engineering, 149, p.103791.

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[580] Shou, Y. and Zhou, X., A coupled hydro-mechanical non-ordinary state-based peridynamics for the fissured porous rocks. Engineering Analysis with Boundary Elements, 123, pp.133-146.

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[606] Xia, W., Oterkus, E. and Oterkus, S., 2020. Peridynamic modelling of periodic microstructured materials. Procedia Structural Integrity, 28, pp.820-828.

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[609] Song, Y., Li, S. and Zhang, S., 2020. Peridynamic modeling and simulation of thermo-mechanical de-icing process with modified ice failure criterion. Defence Technology.

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[620] Zhang, Y., Huang, D., Cai, Z. and Xu, Y., 2020. An extended ordinary state-based peridynamic approach for modelling hydraulic fracturing. Engineering Fracture Mechanics, 234, p.107086.

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[634] Lu, W., Oterkus, S. and Oterkus, E., 2020. Peridynamic modelling of Hertzian indentation fracture. Procedia Structural Integrity, 28, pp.1559-1571.

[635] Zhang, X. and Xu, Z., 2020. Formation mechanism of SH guided wave in weld seam. Results in Physics, 16, p.102840.

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[640] Menon, S. and Song, X., 2020. Shear banding in unsaturated geomaterials through a strong nonlocal hydromechanical model. European Journal of Environmental and Civil Engineering, pp.1-15.

[641] Zhang, K., Ni, T., Sarego, G., Zaccariotto, M., Zhu, Q. and Galvanetto, U., 2020. Experimental and numerical fracture analysis of the plain and polyvinyl alcohol fiber-reinforced ultra-high-performance concrete structures. Theoretical and Applied Fracture Mechanics, 108, p.102566.

[642] Yang, Z., Oterkus, S. and Oterkus, E., 2020. Peridynamic formulation for Timoshenko beam. Procedia Structural Integrity, 28, pp.464-471.

[643] Yang, S.Q., Yang, Z., Zhang, P.C. and Tian, W.L., 2020. Experiment and peridynamic simulation on cracking behavior of red sandstone containing a single non-straight fissure under uniaxial compression. Theoretical and Applied Fracture Mechanics, 108, p.102637.

[644] Yang, Z., Oterkus, E. and Oterkus, S., 2020. Peridynamic formulation for higher order functionally graded beams. Thin-Walled Structures, 160, p.107343.

[645] Ye, L.Y., Guo, C.Y., Wang, C., Wang, C.H. and Chang, X., 2020. Peridynamic solution for submarine surfacing through ice. Ships and Offshore Structures, 15(5), pp.535-549.

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[651]Lu, G. and Chen, J., 2020. A new nonlocal macro-meso-scale consistent damage model for crack modeling of quasi-brittle materials. Computer Methods in Applied Mechanics and Engineering, 362, p.112802.

[652] Buryachenko, V.A., 2020. Generalized effective fields method in peridynamic micromechanics of random structure composites. International Journal of Solids and Structures, 202, pp.765-786.

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[654] Gu, X. and Zhang, Q., 2020. A modified conjugated bond-based peridynamic analysis for impact failure of concrete gravity dam. Meccanica, 55(3), pp.547-566.

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[656] Yang, Z., Oterkus, E. and Oterkus, S., 2020. A state-based peridynamic formulation for functionally graded Euler-Bernoulli beams. CMES-Computer Modeling in Engineering and Sciences, 124(2), pp.527-544.

[657] Nguyen, C.T., Oterkus, S. and Oterkus, E., 2020. An energy-based peridynamic model for fatigue cracking. Engineering Fracture Mechanics, 241, p.107373.

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[660] Sun, W., Zhang, G. and Zhang, Z., Damage analysis of the cut-off wall in a landslide dam based on centrifuge and numerical modeling. Computers and Geotechnics, 130, p.103936.

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[662] Nguyen, C.T., Oterkus, S. and Oterkus, E., 2020. A peridynamic-based machine learning model for one-dimensional and two-dimensional structures. Continuum Mechanics and Thermodynamics, pp.1-33.

[663] Hai, L. and Ren, X., 2020. Computational investigation on damage of reinforced concrete slab subjected to underwater explosion. Ocean Engineering, 195, p.106671.

[664] Chu, B., Liu, Q., Liu, L., Lai, X. and Mei, H., 2020. A rate-dependent peridynamic model for the dynamic behavior of ceramic materials. Computer Modeling in Engineering & Sciences, 124(1), pp.151-178.

[665] Buryachenko, V.A., 2020. Variational principles and generalized Hill’s bounds in micromechanics of linear peridynamic random structure composites. Mathematics and Mechanics of Solids, 25(3), pp.682-704.

[666] Galadima, Y.K., Oterkus, E. and Oterkus, S., 2020. Model order reduction of linear peridynamic systems using static condensation. Mathematics and Mechanics of Solids, p.1081286520937045.

[667] Cheng, Z., Fu, Z., Zhang, Y. and Wu, H., 2020. A peridynamic model for analyzing fracture behavior of functionally graded materials used as an interlayer. Acta Mechanica Solida Sinica, 33(6), pp.781-792.

[668] Nikpayam, J. and Kouchakzadeh, M.A., 2020. On the validity of peridynamic equation of motion in variable horizon domains. International Journal of Mechanical Sciences, p.106245.

[669] Zhu, F. and Zhao, J., Interplays between particle shape and particle breakage in confined continuous crushing of granular media. Powder Technology, 378, pp.455-467.

[670] Kazemi, S.R., 2020. Plastic deformation due to high-velocity impact using ordinary state-based peridynamic theory. International Journal of Impact Engineering, 137, p.103470.

[671] Yang, Z., Oterkus, E. and Oterkus, S., 2020. Peridynamic formulation for higher-order plate theory. Journal of Peridynamics and Nonlocal Modeling, pp.1-26.

[672] Diana, V., Labuz, J.F. and Biolzi, L., 2020. Simulating fracture in rock using a micropolar peridynamic formulation. Engineering Fracture Mechanics, 230, p.106985.

[673] Liu, B., Wang, K., Bao, R. and Sui, F., 2020. The effects of α/β phase interfaces on fatigue crack deflections in additively manufactured titanium alloy: A peridynamic study. International Journal of Fatigue, 137, p.105622.

[674] Wu, L., Wang, L., Huang, D. and Xu, Y., 2020. An ordinary state-based peridynamic modeling for dynamic fracture of laminated glass under low-velocity impact. Composite Structures, 234, p.111722.

[675] Yang, Z., Yang, S.Q. and Tian, W.L., Peridynamic simulation of fracture mechanical behaviour of granite specimen under real-time temperature and post-temperature treatments. International Journal of Rock Mechanics and Mining Sciences, 138, p.104573.

[676] Ha, Y.D., 2020. An extended ghost interlayer model in peridynamic theory for high-velocity impact fracture of laminated glass structures. Computers & Mathematics with Applications, 80(5), pp.744-761.

[677] Zhang, Y. and Qiao, P., A fully-discrete peridynamic modeling approach for tensile fracture of fiber-reinforced cementitious composites. Engineering Fracture Mechanics, 242, p.107454.

[678] Mengesha, T. and Scott, J.M., 2020. The solvability of a strongly-coupled nonlocal system of equations. Journal of Mathematical Analysis and Applications, 486(2), p.123919.

[679] Wang, F., Ma, Y.E., Guo, Y. and Huang, W., 2020. Study on Thermally Induced Crack Propagation Behavior of Functionally Graded Materials Using a Modified Peridynamic Model. Advances in Materials Science and Engineering, 2020.

[680] Zheng, G., Shen, G., Xia, Y. and Hu, P., 2020. A bond‐based peridynamic model considering effects of particle rotation and shear influence coefficient. International Journal for Numerical Methods in Engineering, 121(1), pp.93-109.

[681] Diana, V. and Carvelli, V., 2020. An electromechanical micropolar peridynamic model. Computer Methods in Applied Mechanics and Engineering, 365, p.112998.

[682] Guo, L., Zhang, X., Li, W. and Zhou, X., 2020. Multi-scale peridynamic formulations for chloride diffusion in concrete. Engineering Analysis with Boundary Elements, 120, pp.107-117.

[683] Wu, P., Zhao, J., Chen, Z. and Bobaru, F., 2020. Validation of a stochastically homogenized peridynamic model for quasi-static fracture in concrete. Engineering Fracture Mechanics, 237, p.107293.

[684] Akbari, M.J. and Kazemi, S.R., 2020. Peridynamic Analysis of Cracked Beam Under Impact. Journal of Mechanics, 36(4), pp.451-463.

[685] Liu, B., Yang, Z. and Bao, R., 2020. The grain orientation effects on crack-tip fields for additively manufactured titanium alloy: A peridynamic study. Theoretical and Applied Fracture Mechanics, 107, p.102555.

[686] Song, X. and Silling, S.A., 2020. On the peridynamic effective force state and multiphase constitutive correspondence principle. Journal of the Mechanics and Physics of Solids, 145, p.104161.

[687] D’Elia, M., Flores, C., Li, X., Radu, P. and Yu, Y., 2020. Helmholtz-Hodge Decompositions in the Nonlocal Framework. Journal of Peridynamics and Nonlocal Modeling, 2(4), pp.401-418.

[688] Aksoylu, B., Celiker, F. and Gazonas, G.A., 2020. Higher order collocation methods for nonlocal problems and their asymptotic compatibility. Communications on Applied Mathematics and Computation, 2(2), pp.261-303.

[689] Bazazzadeh, S., Mossaiby, F. and Shojaei, A., 2020. An adaptive thermo-mechanical peridynamic model for fracture analysis in ceramics. Engineering Fracture Mechanics, 223, p.106708.

[690] Bode, T., Weißenfels, C. and Wriggers, P., 2020. Peridynamic Petrov–Galerkin method: a generalization of the peridynamic theory of correspondence materials. Computer Methods in Applied Mechanics and Engineering, 358, p.112636.

[691] Zhang, Y., Deng, H., Deng, J., Liu, C. and Yu, S., 2020. Peridynamic simulation of crack propagation of non-homogeneous brittle rock-like materials. Theoretical and Applied Fracture Mechanics, 106, p.102438.

[692] Buryachenko, V.A., 2020. Effective deformation of peridynamic random structure bar subjected to inhomogeneous body-force. International Journal for Multiscale Computational Engineering, 18(5).

[693] Deng, X. and Sun, S., 2020. Numerical investigation of impact breakage mechanisms of two spherical particles. Powder Technology, 364, pp.954-962.

[694] Yang, Z., Oterkus, E. and Oterkus, S., 2020. Peridynamic mindlin plate formulation for functionally graded materials. Journal of Composites Science, 4(2), p.76.

[695] Zeleke, M.A., Lai, X. and Liu, L., 2020. A Peridynamic Computational Scheme for Thermoelectric Fields. Materials, 13(11), p.2546.

[696] Heinze, K., Frank, X., Lullien-Pellerin, V., George, M., Radjai, F. and Delenne, J.Y., 2020. Stress transmission in cemented bidisperse granular materials. Physical Review E, 101(5), p.052901.

[697] Rahimi, M.N., Kefal, A., Yildiz, M. and Oterkus, E., 2020. An ordinary state-based peridynamic model for toughness enhancement of brittle materials through drilling stop-holes. International Journal of Mechanical Sciences, 182, p.105773.

[698] Fan, J., Liu, R., Li, S. and Ge, X., 2020. A micro-potential based Peridynamic method for deformation and fracturing in solids: A two-dimensional formulation. Computer Methods in Applied Mechanics and Engineering, 360, p.112751.

[699] Pang, G., D'Elia, M., Parks, M. and Karniadakis, G.E., 2020. nPINNs: nonlocal Physics-Informed Neural Networks for a parametrized nonlocal universal Laplacian operator. Algorithms and Applications. Journal of Computational Physics, 422, p.109760.

[700] Ai, D., Zhao, Y., Wang, Q. and Li, C., 2020. Crack propagation and dynamic properties of coal under SHPB impact loading: Experimental investigation and numerical simulation. Theoretical and Applied Fracture Mechanics, 105, p.102393.

[701] Zhao, J., Chen, Z., Mehrmashhadi, J. and Bobaru, F., 2020. A stochastic multiscale peridynamic model for corrosion-induced fracture in reinforced concrete. Engineering Fracture Mechanics, 229, p.106969.

[702] Dorduncu, M., Kaya, K. and Ergin, O.F., 2020. Peridynamic analysis of laminated composite plates based on first-order shear deformation theory. International Journal of Applied Mechanics, 12(03), p.2050031.

[703] Kou, M., Bi, J., Yuan, B. and Wang, Y., 2020. Peridynamic analysis of dynamic fracture behaviors in FGMs with different gradient directions. Structural Engineering and Mechanics, 75(3), pp.339-356.

[704] Hu, Y.L., Yu, Y. and Madenci, E., 2020. Peridynamic modeling of composite laminates with material coupling and transverse shear deformation. Composite Structures, 253, p.112760.

[705] Roy, P., Behera, D. and Madenci, E., 2020. Peridynamic simulation of finite elastic deformation and rupture in polymers. Engineering Fracture Mechanics, 236, p.107226.

[706] Mehrmashhadi, J., Bahadori, M. and Bobaru, F., 2020. On validating peridynamic models and a phase-field model for dynamic brittle fracture in glass. Engineering Fracture Mechanics, 240, p.107355.

[707] Liu, Z., Ye, H., Qian, D., Zhang, H. and Zheng, Y., A time‐discontinuous peridynamic method for transient problems involving crack propagation. International Journal for Numerical Methods in Engineering.

[708] Gao, Y. and Oterkus, S., 2020. Multi-phase fluid flow simulation by using peridynamic differential operator. Ocean Engineering, 216, p.108081.

[709] Liu, S., Fang, G., Liang, J., Fu, M., Wang, B. and Yan, X., Study of three-dimensional Euler-Bernoulli beam structures using element-based peridynamic model. European Journal of Mechanics-A/Solids, 86, p.104186.

[710] Mitts, C., Naboulsi, S., Przybyla, C. and Madenci, E., 2020. Axisymmetric peridynamic analysis of crack deflection in a single strand ceramic matrix composite. Engineering Fracture Mechanics, 235, p.107074.

[711] Madenci, E., Yaghoobi, A., Barut, A. and Phan, N., 2020. Peridynamic unit cell for effective properties of complex microstructures with and without defects. Theoretical and Applied Fracture Mechanics, 110, p.102835.

[712] Yu, H., Chen, X. and Sun, Y., 2020. A generalized bond-based peridynamic model for quasi-brittle materials enriched with bond tension–rotation–shear coupling effects. Computer Methods in Applied Mechanics and Engineering, 372, p.113405.

[713] Diana, V. and Ballarini, R., 2020. Crack kinking in isotropic and orthotropic micropolar peridynamic solids. International Journal of Solids and Structures, 196, pp.76-98.

[714] Zhou, X.P., Zhang, J.Z. and Berto, F., 2020. Fracture analysis in brittle sandstone by digital imaging and AE techniques: role of flaw length ratio. Journal of Materials in Civil Engineering, 32(5), p.04020085.

[715] Yang, Z., Oterkus, E. and Oterkus, S., 2020. A state-based peridynamic formulation for functionally graded Kirchhoff plates. Mathematics and Mechanics of Solids, p.1081286520963383.

[716] Han, J. and Chen, W., 2020. An Ordinary State-Based Peridynamic Model for Fatigue Cracking of Ferrite and Pearlite Wheel Material. Applied Sciences, 10(12), p.4325.

[717] Lejeune, E. and Linder, C., 2020. Interpreting stochastic agent-based models of cell death. Computer Methods in Applied Mechanics and Engineering, 360, p.112700.

[718] Li, Z., Huang, D., Xu, Y. and Yan, K., 2020. Nonlocal steady-state thermoelastic analysis of functionally graded materials by using peridynamic differential operator. Applied Mathematical Modelling.

[719] Wu, L., Xu, Y., Huang, D. and Wang, L., 2020. Influences of temperature and impacting velocity on dynamic failure of laminated glass: insights from peridynamic simulations. Composite Structures, p.113472.

2021

[720] Ongaro, G., Seleson, P., Galvanetto, U., Ni, T. and Zaccariotto, M., 2021. Overall equilibrium in the coupling of peridynamics and classical continuum mechanics. Computer Methods in Applied Mechanics and Engineering, 381, 113515.