动态断裂力学问题中的局部Petrov-Galerkin无网格方法  

A meshless local Petrov-Galerkin method for dynamic fracture problem

作　　者：龙述尧[1] 刘凯远[1] 

机构地区：[1]湖南大学工程力学系,湖南长沙410082

出　　处：《暨南大学学报（自然科学与医学版）》2005年第1期57-59,共3页Journal of Jinan University(Natural Science & Medicine Edition)

摘　　要：　用无网格局部Petrov-Galerkin方法分析有限尺寸裂纹体受瞬态载荷作用的动力学问题.采用移动最小二乘近似函数为试函数的局部Petrov-Galerkin方法,时间积分采用中心差分法.给出了正则应力强度因子的时间历程图与给定时刻的应力随裂纹尖端距离的变化关系图.The meshless local Petrov-Galerkin method(MLPG) is used to numerically find the solutions of a crack of finite specimen under a impact load. The moving least squares (MLS) technique in space and the center difference method in time are adopted in computation. Figures of the time history of the normalized stress intensity factor and stresses at a given moment are presented. Numerical examples show that the local Petrov-Galerkin method possessed an excellent rate of convergence and reasonably precision and it well have a great future in engineering.

关 键 词：局部PETROV-GALERKIN方法 移动最小二乘近似函数 中心差分法 应力强度因子 

分 类 号：O346[理学—固体力学]