极端变形问题的物质点法研究进展

摘要

By employing both the Lagrangian and Eulerian descriptions,the material point method (MPM) discretizes a material domain into a set of particles (Lagrangian description) moving in a grid fixed in the space (Eulerian description).Thus,the MPM combines the advantages of both the Lagran-gian methods and Eulerian methods,which makes MPM especially effective in modelling problems with extreme deformation such as impact and explosion problems.The research achievements of our group on MPM algorithms for impact,explosion,fluid-structure interaction and other problems with extreme deformation are systematically summarized in this paper.The three-dimensional parallel explicit simulation software MPM3D developed by our group is briefly introduced.The applications of MPM3D in hyper-velocity impact,perforation,explosion,slope failure,metal cutting,and fluid-structure interaction problems are described as well.%物质点法采用了拉格朗日和欧拉双重描述,将物体离散为一组在固定于空间的网格(欧拉描述)中运动的质点(拉格朗日描述),有效地综合了拉格朗日法和欧拉法的优点,是分析冲击爆炸等极端变形问题的一种有效方法. 本文系统总结了本课题组近年来针对冲击、爆炸和流固耦合等极端变形问题在物质点法算法方面的研究进展,并简要介绍了开发的三维显式并行物质点法数值仿真软件MPM3D及其在超高速碰撞、侵彻、爆炸、边坡失效、金属切削和流固耦合等问题中的应用.