[1] MUROTANI K, YAGAWA G, CHOI J B. Adaptivefinite elements using hierarchical mesh and its application to crack propagation analysis [J]. Computer Methods in Applied Mechanics and Engineering, 2013, 253: 1-14.
[2] CAMACHO G T, ORTIZ M. Computational modeling of impact damage in brittle materials [J]. International Journal of Solids and Structures, 1996, 33(20):2899-2938.
[3] XU X P, NEEDLEMAN A. Numerical simulations of fast crack growth in brittle solids [J]. Journal of the Mechanics and Physics of Solids, 1994, 42(9):1397-1434.
[4] SILLING S A. Reformulation of elasticity theory for discontinuities and long-range forces [J]. Journal of the Mechanics and Physics of Solids, 2000, 48(1):175-209.
[5] SILLING S A, EPTON M, WECKNER O, et al. Peridynamic states and constitutive modeling [J]. Journal of Elasticity, 2007, 88(2): 151-184.
[6] SILLING S A. Linearized theory of peridynamic states [J]. Journal of Elasticity, 2010, 99(1): 85-111.
[7] SILLING S A, BOBARU F. Peridynamic modeling of membranes and fibers [J]. International Journal of Nonlinear Mechanics, 2005, 40(2): 395-409.
[8] GERSTLE W, SAU N, SILLING S. Peridynamic modeling of concrete structures [J]. Nuclear Engineering and Design, 2007, 237(12): 1250-1258.
[9] ASKARI E, BOBARU F, LEHOUCQ R B, et al. Peridynamics for multiscale materials modeling [C]//Journal of Physics: Conference Series. [S. l.]: IOP Publishing, 2008, 125(1): 012078.
[10] XU J, ASKARI A, WECKNER O, et al. Peridynamic analysis of impact damage in composite laminates [J]. Journal of Aerospace Engineering, 2008, 21(3):187-194.
[11] 沈峰,章青,黄丹,等.冲击荷载作用下混凝土结构破坏过程的近场动力学模拟[J].工程力学,2012(增1): 12-15. SHEN Feng, ZHANG Qing, HUANG Dan, et al. Peridynamics modeling of failure process of concrete structure subjected to impact loading [J]. Engineering Mechanics, 2012(supple.1): 12-15.
[12] 胡祎乐,余音,汪海.基于近场动力学理论的层压板损伤分析方法[J].力学学报,2013,45(4): 624-628. HU Yi-le, YU Yin, WANG Hai. Damage analysis method for laminates based on peridynamic theory [J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(4): 624-628.
[13] 谷新保,周小平. 含圆孔拉伸板的近场动力学数值模拟[J]. 固体力学学报, 2015, 36(5): 376-383. GU Xin-bao, ZHOU Xiao-ping. The numerical simulation of tensile plate with circular hole using peridynamic theory [J]. Chinese Journal of Solid Mechanics, 2015, 36(5): 376-383.
[14] 郁杨天,章青,顾鑫.含单边缺口混凝土梁破坏的近场动力学模拟[J].工程力学,2016,33(12):80-85. YV Yang-tian, ZHANG Qing, GU Xin. Impact failure simulation of a single-edged notched concrete beam based on peridynamics [J]. Engineering Mechanics, 2016, 33(12): 80-85.
[15] LAI X, REN B, FAN H, et al. Peridynamics simulations of geomaterial fragmentation by impulse loads [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2015, 39(12): 1304-1330.
[16] LAI X, LIU L S, LIU Q W, et al. Slope stabilityanalysis by peridynamic theory [C]//Applied Mechanics and Materials. [S. l.]: Trans Tech Publications, 2015, 744: 584-588.
[17] ZHOU X P, GU X B, WANG Y T. Numerical simulations of propagation, bifurcation and coalescence of cracks in rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 2015, 80: 241-254.
[18] REN B, FAN H, BERGEL G L, et al. A peridynamics-SPH coupling approach to simulate soil fragmentation induced by shock waves [J]. Computational Mechanics, 2015, 55(2): 287-302.
[19] FAN H, BERGEL G L, LI S. A hybrid peridynamics-SPH simulation of soil fragmentation by blast loads of buried explosive [J]. International Journal of Impact Engineering, 2016, 87: 14-27.
[20] MACEK R W, SILLING S A. Peridynamics via finite element analysis [J]. Finite Elements in Analysis and Design, 2007, 43(15): 1169-1178.
[21] KILIC B, MADENCI E. Coupling of peridynamic theory and the finite element method [J]. Journal of Mechanics of Materials and Structures, 2010, 5(5):707-733.
[22] LIU W, HONG J W. A coupling approach of discretized peridynamics with finite element method [J]. Computer Methods in Applied Mechanics and Engineering, 2012, 245: 163-175.
[23] HUANG D, LU G, QIAO P. An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis [J]. International Journal of Mechanical Sciences, 2015, 94: 111-122.
[24] AZIZI M A B. The peridynamic model of viscoelastic creep and recovery [J]. Multidiscipline Modeling in Materials and Structures, 2015, 11(4):579-597.
[25] MADENCI E, OTERKUS S. Ordinary state-based peridynamics for plastic deformation according to von Mises yield criteria with isotropic hardening [J]. Journal of the Mechanics and Physics of Solids, 2015, 86: 192-219.
[26] GHAJARI M, IANNUCCI L, CURTIS P. A peridynamic material model for the analysis of dynamic crack propagation in orthotropic media [J]. Computer Methods in Applied Mechanics and Engineering, 2014,276(7): 431-452.
[27] SILLING S A, ASKARI E. A meshfree method based on the peridynamic model of solid mechanics [J]. Computers and Structures, 2005, 83(17): 1526-1535.
[28] HUANG D, LU G, WANG C, et al. An extended peridynamic approach for deformation and fractureanalysis [J]. Engineering Fracture Mechanics, 2015, 141: 196-211.
[29] 铁摩辛柯.弹性理论[M].北京:高等教育出版社,1990: 100-107.
[30] JENQ Y S, SHAH S P. Mixed-mode fracture of concrete [J]. International Journal of Fracture, 1988,38(2): 123-142.
[31] JOHN R, SHAH S P. Mixed-mode fracture of concrete subjected to impact loading [J]. Journal of Structural Engineering, 1990, 116(3): 585-602. |