Mode Ⅲ fracture analysis by Trefftz boundary element method

作     者：Yuhong Cui Juan Wang Manicka Dhanasekar Qinghua Qin 

作者机构：Department of Mechanics Tianjin UniversityTianjin 300072 China Centre for Railway EngineeringCentral Queensland UniversityNorth Rockhampton QLD 4702 Australia Department of Engineering Australian National UmversltyCanberra ACT 0200 Australia 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2007年第23卷第2期

页      面：173-181页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：the National Natural Science Foundation of China(10472082) 

主　　题：Hybrid Trefftz method. Galerkin technique .Point collocation technique .Mode III fracture 

摘      要：This paper presents a hybrid Trefftz （HT） boundary element method （BEM） by using two indirect techniques for mode III fracture problems. Two Trefftz complete functions of Laplace equation for normal elements and a special purpose Trefftz function for crack elements are proposed in deriving the Galerkin and the collocation techniques of HT BEM. Then two auxiliary functions are introduced to improve the accuracy of the displacement field near the crack tips, and stress intensity factor （SIF） is evaluated by local crack elements as well. Furthermore, numerical examples are given, including comparisons of the present results with the analytical solution and the other numerical methods, to demonstrate the efficiency for different boundary conditions and to illustrate the convergence influenced by several parameters. It shows that HT BEM by usingthe Galerkin and the collocation techniques is effective for mode III fracture problems.