Three-Dimensional Dynamic Fracture Analysis Using the Material Point Method
Three-Dimensional Dynamic Fracture Analysis Using the Material Point Method
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DOI：
10.3970/cmes.2006.016.141
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发表时间：
2006-12
影响因子：
2.4
通讯作者：
Y. Guo;J. Nairn
中科院分区：
文献类型：
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作者：
Y. Guo;J. Nairn
本文介绍了使用材料点法 (MPM) 进行三维动态应力和断裂分析的算法。通过在背景网格节点处允许双速度场，该方法在主要无网格方法中提供了显式裂纹的精确数值实现。裂纹接触方案可自动防止裂纹表面相互渗透。根据动态应力解计算裂纹尖端参数、动态 J 积分矢量以及 I、II 和 III 型应力强度因子。与有限差分法（FDM）、有限元法（FEM）和边界元法（BEM）以及静态理论的比较表明，MPM可以高效、准确地解决三维动态断裂问题。由于裂纹描述独立于对象描述，MPM 可用于模拟任意方向的三维动态裂纹扩展。关键词：质点法，MPM。三维动态断裂、裂纹、动态 J 积分、动态应力强度、接触、I 型、II 型、III 型。
This paper describes algorithms for threedimensional dynamic stress and fracture analysis using the material point method (MPM). By allowing dual velocity fields at background grid nodes, the method provides exact numerical implementation of explicit cracks in a predominantly meshless method. Crack contact schemes were included for automatically preventing crack surfaces from interpenetration. Crack-tip parameters, dynamic J-integral vector and mode I, II, and III stress intensity factors, were calculated from the dynamic stress solution. Comparisons to finite difference method (FDM), finite element method (FEM), and boundary element method (BEM), as well as to static theories showed that MPM can efficiently and accurately solve three-dimensional dynamic fracture problems. Since the crack description is independent of the object description, MPM could be useful for simulation of threedimensional dynamic crack propagation in arbitrary directions. keyword: Material point method, MPM. threedimensional dynamic fracture, cracks, dynamic J-integral, dynamic stress intensity, contact, mode I, mode II, mode III.