无网格MPM法三维前处理系统设计

无网格法在解决爆炸冲击、裂纹扩展、高速碰撞以及大变形等问题时,由于与网格无关,能够避免有限元法因网格畸变计算精度降低或计算终止的矛盾,是目前求解固体力学问题的有效方法之一,也是近年来研究的热点。前处理对于无网格法数值计算是非常重要的环节,基于面向对象程序设计思想,应用C 和OpenGL开发了三维图形交互方式的MPM法前处理系统,提出了应用递归四叉树法、扫描表示法和CSG法划分任意形状非等间距的MPM法质点单元,为建立通用的无网格前处理平台提出了有效的解决方案。

Implementation of 3D preprocessing program for material point method

Meshless methods are applied to solve problems in explosion impact,fracture,crack expand and large deformation etc,the low numerical precision and remeshing could be overcome due to independence of mesh.As one of the effective numerical methods,the meshless methods are used to solve problems in solid mechanics.It is important that the preprocessing program is developed in numerical simulation of meshless methods.Based on object-oriented programming method,the 3D graphic interactive preprocessing program is developed for material point method by C and OpenGL.The quad-tree,scan and CSG methods are applied to discretize particles of MPM.To build a general preprocess system of the meshless methods,some robust methods are given.