A.A. Griffith, VI. The phenomena of rupture and flow in solids, Philosophical transactions of the royal society of london. Series A, containing papers of a mathematical or physical character, 221(582-593) (1921) 163-198.
 S.A. Silling, Reformulation of elasticity theory for discontinuities and long-range forces, Journal of the Mechanics and Physics of Solids, 48(1) (2000) 175-209.
 S.A. Silling, E. Askari, A meshfree method based on the peridynamic model of solid mechanics, Computers & structures, 83(17-18) (2005) 1526-1535.
 B. Kilic, A. Agwai, E. Madenci, Peridynamic theory for progressive damage prediction in center-cracked composite laminates, Composite Structures, 90(2) (2009) 141-151.
 C. Diyaroglu, E. Oterkus, S. Oterkus, E. Madenci, Peridynamics for bending of beams and plates with transverse shear deformation, International Journal of Solids and Structures, 69 (2015) 152-168.
 D. Huang, G. Lu, P. Qiao, An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis, International Journal of Mechanical Sciences, 94 (2015) 111-122.
 E. Madenci, K. Colavito, N. Phan, Peridynamics for unguided crack growth prediction under mixed-mode loading, Engineering Fracture Mechanics, 167 (2016) 34-44.
 P. Seleson, D.J. Littlewood, Convergence studies in meshfree peridynamic simulations, Computers & Mathematics with Applications, 71(11) (2016) 2432-2448.
 V.P. Nguyen, T. Rabczuk, S. Bordas, M. Duflot, Meshless methods: a review and computer implementation aspects, Mathematics and computers in simulation, 79(3) (2008) 763-813.
 T. Rabczuk, T. Belytschko, Cracking particles: a simplified meshfree method for arbitrary evolving cracks, International Journal for Numerical Methods in Engineering, 61(13) (2004) 2316-2343.
 F. Bobaru, Y.D. Ha, Adaptive refinement and multiscale modeling in 2D peridynamics, (2011).
 D. Dipasquale, M. Zaccariotto, U. Galvanetto, Crack propagation with adaptive grid refinement in 2D peridynamics, International Journal of Fracture, 190(1-2) (2014) 1-22.
 J. Lee, S.E. Oh, J.-W. Hong, Parallel programming of a peridynamics code coupled with finite element method, International Journal of Fracture, 203(1-2) (2017) 99-114.
 F. Mossaiby, R. Rossi, P. Dadvand, S. Idelsohn, OpenCL‐based implementation of an unstructured edge‐based finite element convection‐diffusion solver on graphics hardware, International Journal for Numerical Methods in Engineering, 89(13) (2012) 1635-1651.
 B. Kilic, E. Madenci, Prediction of crack paths in a quenched glass plate by using peridynamic theory, International journal of fracture, 156(2) (2009) 165-177.
 B. Kilic, E. Madenci, Structural stability and failure analysis using peridynamic theory, International Journal of Non-Linear Mechanics, 44(8) (2009) 845-854.
 P. Diehl, M.A. Schweitzer, Efficient neighbor search for particle methods on GPUs, in: Meshfree Methods for Partial Differential Equations VII, Springer, 2015, pp. 81-95.
 Q. Le, W. Chan, J. Schwartz, A two‐dimensional ordinary, state‐based peridynamic model for linearly elastic solids, International Journal for Numerical Methods in Engineering, 98(8) (2014) 547-561.
 R. Kamgar, R. Tavakoli, P. Rahgozar, R. Jankowski, Application of discrete wavelet transform in seismic nonlinear analysis of soil–structure interaction problems, Earthquake Spectra, (2021) 8755293020988027.
 R. Kamgar, N. Majidi, A. Heidari, Wavelet-based Decomposition of Ground Acceleration for Efficient Calculation of Seismic Response in Elastoplastic Structures, Periodica Polytechnica Civil Engineering, (2020).
 R. Kamgar, M. Dadkhah, H. Naderpour, Seismic response evaluation of structures using discrete wavelet transform through linear analysis, in: Structures, Elsevier, 2021, pp. 863-882.
 M. Dadkhah, R. Kamgar, H. Heidarzadeh, Reducing the Cost of Calculations for Incremental Dynamic Analysis of Building Structures Using the Discrete Wavelet Transform, Journal of Earthquake Engineering, (2020) 1-26.
 E. Salajegheh, A. Heidari, Dynamic analysis of structures against earthquake by combined wavelet transform and fast Fourier transform, Asian Journal of Civil Engineering, (2002).
 E. Salajegheh, A. Heidari, Time history dynamic analysis of structures using filter banks and wavelet transforms, Computers & structures, 83(1) (2005) 53-68.
 A. Heidari, E. Salajegheh, Time history analysis of structures for earthquake loading by wavelet networks, ASIAN JOURNAL OF CIVIL ENGINEERING, 7 (2006).
 A. Heidari, J. Raeisi, S. Pahlavan Sadegh, Dynamic analysis of shear building structure using wavelet transform, Journal of Numerical Methods in Civil Engineering, 2(4) (2018) 20-26.
 A. Heidari, S. Pahlavan sadegh, J. Raeisi, Investigating the Effect of Soil Type on Non-linear Response Spectrum Using Wavelet Theory, International Journal of Civil Engineering, 17(12) (2019) 1909-1918.
 A. Kaveh, A. Aghakouchak, P. Zakian, Reduced record method for efficient time history dynamic analysis and optimal design, Earthquake and Structures, 35 (2015) 637-661.
 A. Heidari, N. Majidi, Earthquake Mapping Acceleration Analysis Using Wavelet Method, Earthquake Engineering and Engineering Vibration, (2019).
 R. Kamgar, N. Majidi, A. Heidari, Continuous Wavelet and Fourier Transform Methods for the Evaluation of the Properties of Critical Excitation, Amirkabir Journal of Civil & Environmental Engineering (In Persian), (2019).
 O. Weckner, R. Abeyaratne, The effect of long-range forces on the dynamics of a bar, Journal of the Mechanics and Physics of Solids, 53(3) (2005) 705-728.
 S.A. Silling, M. Zimmermann, R. Abeyaratne, Deformation of a peridynamic bar, Journal of Elasticity, 73(1-3) (2003) 173-190.
 R.B. Lehoucq, S.A. Silling, Force flux and the peridynamic stress tensor, Journal of the Mechanics and Physics of Solids, 56(4) (2008) 1566-1577.
 H.D. Miranda, J. Orr, C. Williams, Fast interaction functions for bond-based peridynamics, European Journal of Computational Mechanics, 27(3) (2018) 247-276.
 F. Mossaiby, A. Shojaei, M. Zaccariotto, U. Galvanetto, OpenCL implementation of a high performance 3D Peridynamic model on graphics accelerators, Computers & Mathematics with Applications, 74(8) (2017) 1856-1870.
 L. Wu, D. Huang, Y. Xu, L. Wang, A rate-dependent dynamic damage model in peridynamics for concrete under impact loading, International Journal of Damage Mechanics, 29(7) (2020) 1035-1058.
 R.W. Macek, S.A. Silling, Peridynamics via finite element analysis, Finite Elements in Analysis and Design, 43(15) (2007) 1169-1178.
 M. Misiti, Y. Misiti, G. Oppenheim, J. Poggi, Wavelet Toolbox: Computation, Visualization, Programming User’s Guide, Ver, 1.
 S. Addison Paul, The illustrated wavelet transform handbook: introductory theory and applications in science, engineering, medicine and finance, Institute of Physics Publishing, 2002.
 R. Polikar, The Wavelet Tutorial-http:\\users. rowan. edu/∼ polikar, WAVELETS/WTpart1. html, (1999).
 M. Schneiders, v.d. Molengraft, M. Steinbuch, Wavelets in control engineering, Technische Universiteit Eindhoven, 2001.
 O. Rioul, P. Duhamel, Fast algorithms for discrete and continuous wavelet transforms, IEEE Transactions on Information Theory, 38(2) (1992) 569-586.
 S.G. Mallat, A theory for multiresolution signal decomposition: the wavelet representation, IEEE Transactions on Pattern Analysis & Machine Intelligence, (7) (1989) 674-693.
 G. Strang, T. Nguyen, Wavelets and Filter Banks, 2 nd ed., SIAM, 1996.
 P.S. Addison, The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance, 2 nd ed., CRC Press, 2016.
 R. Polikar, The Wavelet Tutorial, in, 1996.
 S. Mallat, A Wavelet Tour of Signal Processing, Elsevier, USA, 2008.
 A. Heidari, E. Salajegheh, Approximate dynamic analysis of structures for earthquake loading using FWT, International Journal of Engineering, 20(1) (2007).
 L. Hsu, C.-T. Hsu, Complete stress—strain behaviour of high-strength concrete under compression, Magazine of concrete research, 46(169) (1994) 301-312.
 P. Wang, S. Shah, A. Naaman, Stress-strain curves of normal and lightweight concrete in compression, in: Journal Proceedings, 1978, pp. 603-611.
 S. Popovics, A numerical approach to the complete stress-strain curve of concrete, Cement and concrete research, 3(5) (1973) 583-599.
 J. Del Viso, J. Carmona, G. Ruiz, Shape and size effects on the compressive strength of high-strength concrete, Cement and Concrete Research, 38(3) (2008) 386-395.
 A. Committee, I.O.f. Standardization, Building code requirements for structural concrete (ACI 318-08) and commentary, in, American Concrete Institute, 2008.
 Z. Yang, J. Chen, Finite element modelling of multiple cohesive discrete crack propagation in reinforced concrete beams, Engineering Fracture Mechanics, 72(14) (2005) 2280-2297.
 M.M. Raouffard, M. Nishiyama, Fire response of exterior reinforced concrete beam-column subassemblages, Fire Safety Journal, 91 (2017) 498-505.