SULSKY Z, CHEN H, SCHREYER H L. A particle method for history-dependent materials[J].Computer Methods in Applied Mechanics and Engineering,1994,118(1/2): 179-196.
|
[2]周晓敏, 孙政. 非Newton流体的物质点法模拟研究[J]. 应用数学和力学, 2019,40(10): 1135-1146.(ZHOU Xiaomin, SUN Zheng. Simulation of non-Newtonian fluid flows with the material point method[J].Applied Mathematics and Mechanics,2019, 40(10): 1135-1146.(in Chinese))
|
[3]STEFFEN M, WALLSTEDT P C, GUILKEY J E, et al. Examination and analysis of implementation choices within the material point method (MPM)[J].Computer Modeling in Engineering and Sciences, 2008,31(2): 107-127.
|
[4]徐云卿, 周晓敏, 赵世一, 等. 基于B样条物质点法的溃坝流模拟研究[J]. 应用数学和力学, 2023, 44(8): 921-930.(XU Yunqing, ZHOU Xiaomin, ZHAO Shiyi, et al. Simulation study on dam break flow based on the B-spline material point method[J].Applied Mathematics and Mechanics,2023,44(8): 921-930. (in Chinese))
|
[5]ZHANG D Z, MA X, GIGUERE P T. Material point method enhanced by modified gradient of shape function[J]. Journal of Computational Physics, 2011,230(16): 6379-6398.
|
[6]MOUTSANIDIS G, LONG C C, BAZILEVS Y. IGA-MPM: the isogeometric material point method[J].Computer Methods in Applied Mechanics and Engineering, 2020,372:113346.
|
[7]BARDENHAGEN S G, KOBER E M. The generalized interpolation material point method[J]. Computer Modeling in Engineering and Sciences, 2004,5(6): 477-496.
|
[8]SADEGHIRAD A, BRANNON R M, BURGHARDT J. A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations[J].International Journal for Numerical Methods in Engineering,2011,86(12): 1435-1456.
|
[9]SADEGHIRAD A, BRANNON R M, GUILKEY J E. Second-order convected particle domain interpolation (CPDI2) with enrichment for weak discontinuities at material interfaces[J].International Journal for Numerical Methods in Engineering, 2013,95(11): 928-952.
|
[10]WAN D, WANG M, ZHU Z, et al. Coupled GIMP and CPDI material point method in modelling blast-induced three-dimensional rock fracture[J].International Journal of Mining Science and Technology,2022,32(5): 1097-1114.
|
[11]WANG C S, DONG G W, ZHANG Z G, et al. Generalized particle domain method: an extension of material point method generates particles from the CAD files[J].International Journal for Numerical Methods in Engineering,2024,125(17): e7537.
|
[12]NGUYEN V P, DE VAUCORBEIL A, BORDAS S.The Material Point Method: Theory, Implementations and Applications[M]. Berlin: Springer Cham, 2023.
|
[13]KANG J, HOMEL M A, HERBOLD E B. Beam elements with frictional contact in the material point method[J].International Journal for Numerical Methods in Engineering,2022,123(4): 1013-1035.
|
[14]WU S R, GU L. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics[M]. Wiley, 2012.
|
[15]JIANG C, GAST T, TERAN J. Anisotropic elastoplasticity for cloth, knit and hair frictional contact[J].ACM Transactions on Graphics,2017,36(4): 1-14.
|
[16]GUO Q, HAN X, FU C, et al. A material point method for thin shells with frictional contact[J].ACM Transactions on Graphics,2018,37(4): 1-15.
|
[17]WU B, CHEN Z, ZHANG X, et al. Coupled shell-material point method for bird strike simulation[J].Acta Mechanica Solida Sinica,2018, 31(1): 1-18.
|
[18]DE VAUCORBEIL A, NGUYEN V P. Modelling contacts with a total Lagrangian material point method[J].Computer Methods in Applied Mechanics and Engineering,2021,373: 113503.
|
[19]NI R, LI J, ZHANG X, et al. An immersed boundary-material point method for shock-structure interaction and dynamic fracture[J].Computer Physics Communications,2022,470: 111558.
|
[20]LI J, NI R, ZENG Z, et al. An efficient solid shell material point method for large deformation of thin structures[J].International Journal for Numerical Methods in Engineering, 2024,125(1): e7359.
|
[21]FLANAGAN D P, BELYTSCHK T. A uniform strain hexahedron and quadrilateral with orthogonal hourglass control[J]. International Journal for Numerical Methods in Engineering,1981,17(5): 679-706.
|
[22]BELYSCHKO T, TSAY C S. A stabilization procedure for the quadrilateral plate element with one-point quadrature[J].International Journal for Numerical Methods in Engineering,1983,19(3): 405-419.
|
[23]BELYTSCHKO T, LIN J I, TSAY C S. Explicit algorithms for the nonlinear dynamics of shell[J].Computer Methods in Applied Mechanics and Engineering,1984,42(2): 225-251.
|
[24]钟志华, 李光耀. 薄板冲压成型过程的计算机仿真与应用[M]. 北京: 北京理工大学出版社, 1998.(ZHONG Zhihua, LI Guangyao. Simulation and Application of Sheet Metal Stamping Process[M].Beijing: Beijing Institute of Technology Press, 1998.(in Chinese))
|
[25]SZE K Y, LIU X H, LO S H. Popular benchmark problems for geometric nonlinear analysis of shells[J].Finite Elements in Analysis & Design,2004,40(11): 1551-1569.
|