当前位置: X-MOL 学术Acta Mech. Solida Sin. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
An Efficient Particle Subdomain Quadrature Scheme for the Material Point Method
Acta Mechanica Solida Sinica ( IF 2.2 ) Pub Date : 2020-09-11 , DOI: 10.1007/s10338-020-00190-z
Zheng Sun , Xiaomin Zhou

The material point method (MPM) has been proved to be an effective numerical method for large deformation problems. However, the MPM suffers from the cell crossing error as that the material particles are used to represent the deformed material and to perform the particle quadrature. In this paper, an efficient subdomain quadrature material point method (sqMPM) is proposed to eliminate the cell crossing error efficiently. The particle domain is approximated to be the line segment, rectangle, and cuboid for the one-, two-, and three-dimensional problems, respectively, which are divided into several different subdomains based on the topological relationship between the particle domain and background grid. A single Gauss quadrature point is placed at the center of each subdomain and used for the information mapping. The material quantities of each Gauss quadrature point are determined by the corresponding material particle and the subdomain volume without the cumbersome reconstruction algorithm. Numerical examples for one-, two-, and three-dimensional large deformation problems demonstrate the effectiveness and highly enhanced convergence and efficiency of the proposed sqMPM.



中文翻译:

质点法的有效粒子子域正交方案

物质点法(MPM)已被证明是解决大型变形问题的有效数值方法。但是,由于材料粒子用于表示变形的材料并执行粒子正交,因此MPM受到单元​​交叉误差的困扰。本文提出了一种有效的子域正交材料点方法(sqMPM),以有效消除信元交叉误差。一维,二维和三维问题的粒子域分别近似为线段,矩形和长方体,根据粒子域和背景网格之间的拓扑关系将其分为几个不同的子域。单个高斯正交点位于每个子域的中心,并用于信息映射。每个高斯正交点的材料量由相应的材料粒子和子域体积决定,而无需繁琐的重构算法。一维,二维和三维大变形问题的数值示例证明了所提出的sqMPM的有效性以及高度增强的收敛性和效率。

更新日期:2020-09-11
down
wechat
bug