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
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. ()