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直接施加本质边界条件的FE/EFG耦合算法及其数值实现

柳军 严波 卢岳川 孙英学

计算力学学报2011,Vol.28Issue(5):766-772,7.
计算力学学报2011,Vol.28Issue(5):766-772,7.

直接施加本质边界条件的FE/EFG耦合算法及其数值实现

A FE/EFG coupled algorithm directly specifying essential boundary condition

柳军 1严波 1卢岳川 2孙英学2

作者信息

  • 1. 重庆大学工程力学系,重庆400044
  • 2. 核反应堆系统设计技术重点实验室,成都610041
  • 折叠

摘要

Abstract

A finite element and meshfree Galerkin (FE/EFG) coupled algorithm based on transformation matrices is presented. By means of two transformation matrices, the FE sub-domain and EFG sub-domain can be coupled effectively and the essential boundary condition can be imposed directly on the EFG subdomain boundary. Two transformations are needed to deal with the nodes on the essential boundary and in the influence domain of the nodes on the interface between the two sub-domains. Furthermore,a partitioned-matrix method is proposed to calculate the transferred stiffness matrix which is stored in one-dimension variable bandwidth. The system equation is solved by the LU decomposition method. The cornputer program of the FE/EFG coupling method for three dimensional problems is developed. The efficiency of the algorithm presented in this papre is demonstrated by two numerical examples,a plate with a hole and a plate with a centre-crack under uniform tension.

关键词

有限元法/EFG法/耦合算法/本质边界条件/数值实现

Key words

FEM/EFG method/coupling algorithm/essential boundary condition/program

分类

数理科学

引用本文复制引用

柳军,严波,卢岳川,孙英学..直接施加本质边界条件的FE/EFG耦合算法及其数值实现[J].计算力学学报,2011,28(5):766-772,7.

基金项目

核反应堆系统设计技术国家级重点实验室基金(ZDS-A-0908)资助项目. ()

计算力学学报

OA北大核心CSCDCSTPCD

1007-4708

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