Two-dimensional polynomial eigenstrain formulation of boundary integral equation with numerical verification  

作　　者：马杭 郭钊 秦庆华 

机构地区：[1]Department of Mechanics,College of Sciences,Shanghai University [2]Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University [3]School of Engineering,Australian National University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第5期551-562,共12页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.10972131);the Graduate Innovation Foundation of Shanghai University(No.SHUCX102351)

摘　　要：The low-order polynomial-distributed eigenstrain formulation of the boundary integral equation （BIE） and the corresponding definition of the Eshelby tensors are proposed for the elliptical inhomogeneities in two-dimensional elastic media. Taking the results of the traditional subdomain boundary element method （BEM） as the control, the effectiveness of the present algorithm is verified for the elastic media with a single elliptical inhomogeneity. With the present computational model and algorithm, significant improvements are achieved in terms of the efficiency as compared with the traditional BEM and the accuracy as compared with the constant eigenstrain formulation of the BIE.The low-order polynomial-distributed eigenstrain formulation of the boundary integral equation （BIE） and the corresponding definition of the Eshelby tensors are proposed for the elliptical inhomogeneities in two-dimensional elastic media. Taking the results of the traditional subdomain boundary element method （BEM） as the control, the effectiveness of the present algorithm is verified for the elastic media with a single elliptical inhomogeneity. With the present computational model and algorithm, significant improvements are achieved in terms of the efficiency as compared with the traditional BEM and the accuracy as compared with the constant eigenstrain formulation of the BIE.

关 键 词：EIGENSTRAIN Eshelby tensor boundary integral equation （BIE） polynomial inhomogeneity 

分 类 号：O241.82[理学—计算数学]