计算力学学报2017，Vol.34Issue(1)：57-61,5.DOI:10.7511/jslx201701007
反平面断裂问题的无单元伽辽金比例边界法
An element-free Galerkin scaled boundary method for anti-plane crack problem
摘要
Abstract
Through incorporation of the element free Galerkin method into the scaled boundary method,an element-free Galerkin scaled boundary method (EFG-SBM) is developed for anti-plane fracture analysis.This is a boundary-type meshless method,in which the element-free Galerkin method is adopted for performing the circumferential discretization and therefore only nodes on the boundary are required.In addition,no fundamental solution is required in contrast with the boundary element method.In order to simplify the enforcement of the essential boundary conditions,the modified moving least squares shape functions are derived through the establishment of the relationship between the nodal values and the fictitious nodal values.In the radial direction,the solution is analytical so that this method is a semi-analytical numerical method.At last,numerical examples are presented to demonstrate that utilizing the proposed method to solve anti-plane crack problem has the advantages of simple postprocessing and higher accuracy.关键词
反平面断裂问题/无单元伽辽金比例边界法/移动最小二乘法/应力强度因子/半解析Key words
anti-plane crack problem/element-free Galerkin scaled boundary method/moving least squares approximation/stress intensity factor/semi-analytical分类
通用工业技术引用本文复制引用
陈莘莘,王娟..反平面断裂问题的无单元伽辽金比例边界法[J].计算力学学报,2017,34(1):57-61,5.基金项目
国家自然科学基金(11462006) （11462006）
江西省高校科技落地计划(KJLD14041)资助项目. （KJLD14041）
