Boundary element analysis for elastic and elastoplastic problems of 2D orthotropic media with stress concentration  

作　　者：Xiushan Sun Lixin Huang Yinghua Liu Zhangzhi Cen 

机构地区：[1]Department of Engineering Mechanics, Tsinghua University,Beiiing 100084, China [2]College of Civil Engineering and Architecture,Guangxi University, Nanning 530004, Guangxi, China

出　　处：《Acta Mechanica Sinica》2005年第5期472-484,共13页力学学报（英文版）

基　　金：The project supported by the Basic Research Foundation of Tsinghua University,the National Foundation for Excellent Doctoral Thesis(200025);the National Natural Science Foundation of China(19902007).

摘　　要：Both the orthotropy and the stress concentration are common issues in modem structural engineering. This paper introduces the boundary element method （BEM） into the elastic and elastoplastic analyses for 2D orthotropic media with stress concentration. The discretized boundary element formulations are established, and the stress formulae as well as the fundamental solutions are derived in matrix notations. The numerical procedures are proposed to analyze both elastic and elastoplastic problems of 2D orthotropic me- dia with stress concentration. To obtain more precise stress values with fewer elements, the quadratic isoparametric element formulation is adopted in the boundary discretization and numerical procedures. Numerical examples show that there are significant stress concentrations and different elastoplastic behaviors in some orthotropic media, and some of the computational results are compared with other solutions. Good agreements are also observed, which demonstrates the efficiency and reliability of the present BEM in the stress concentration analysis for orthotropic media.Both the orthotropy and the stress concentration are common issues in modem structural engineering. This paper introduces the boundary element method （BEM） into the elastic and elastoplastic analyses for 2D orthotropic media with stress concentration. The discretized boundary element formulations are established, and the stress formulae as well as the fundamental solutions are derived in matrix notations. The numerical procedures are proposed to analyze both elastic and elastoplastic problems of 2D orthotropic me- dia with stress concentration. To obtain more precise stress values with fewer elements, the quadratic isoparametric element formulation is adopted in the boundary discretization and numerical procedures. Numerical examples show that there are significant stress concentrations and different elastoplastic behaviors in some orthotropic media, and some of the computational results are compared with other solutions. Good agreements are also observed, which demonstrates the efficiency and reliability of the present BEM in the stress concentration analysis for orthotropic media.

关 键 词：Boundary element method （BEM） . Fundamental solution . Orthotropic medium . Stress concentration .Elastic and elastoplastic problems 

分 类 号：O343[理学—固体力学]