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

被引：3

作者：

Ma, Hang ^{[1
]}

Guo, Zhao ^{[2
]}

Qin, Qing-hua ^{[3
]}

机构：

[1] Shanghai Univ, Dept Mech, Coll Sci, Shanghai 200444, Peoples R China

[2] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

[3] Australian Natl Univ, Sch Engn, Canberra, ACT 0200, Australia

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2011年 / 32卷 / 05期

基金：

中国国家自然科学基金;

关键词：

eigenstrain; Eshelby tensor; boundary integral equation (BIE); polynomial; inhomogeneity; EQUIVALENT INCLUSION METHOD; ELLIPSOIDAL INCLUSION; ELEMENT METHOD; REINFORCED COMPOSITES; ELASTIC FIELD; STRESS-FIELD; SHAPES; MODEL;

D O I：

10.1007/s10483-011-1437-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：551 / 562

页数：12

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