二维多项式本征应变边界积分方程及其数值验证

马杭; 郭钊; 秦庆华

doi:10.3879/j.issn.1000-0887.2011.05.002

二维多项式本征应变边界积分方程及其数值验证

doi: 10.3879/j.issn.1000-0887.2011.05.002

上海大学理学院力学系,上海 200444;2.上海大学上海市应用数学和力学研究所,上海 200072;3.澳大利亚国立大学工程学院,ACT 0200, 澳大利亚

基金项目: 国家自然科学基金资助项目(10972131)

详细信息

作者简介:
马杭(1951- ),男,山东青州人,教授,博士,博士生导师(联系人.E-mail:hangma@staff.shu.edu.cn).

中图分类号: O241
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出版历程
- 收稿日期: 2011-01-04
- 修回日期: 2011-03-19
- 刊出日期: 2011-05-15

Two-Dimensional Polynomial Eigenstrain Formulation of Boundary Integral Equation With Numerical Verification

Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China;

摘要

摘要: 针对弹性介质中的椭圆形异质体，给出了低阶多项式分布的二维本征应变边界积分方程和相应的Eshelby张量的定义．以边界元分域法为参照，利用含有单个异质体的弹性介质对提出的计算模型和算法进行了数值验证．结果表明该算法取得较大的改进，其计算效率高于传统的边界元法，计算精度则高于采用常数本征应变的计算模型．
- 本征应变 /
- Eshelby张量 /
- 边界积分方程 /
- 多项式 /
- 异质体
Abstract: he low-order polynomial distributed eigenstrain formulation of boundary integral equation (BIE) and the corresponding definition of Eshelby tensors were proposed for elliptical-shaped inhomogeneities in a two-dimensional elastic medium. Taking the results from traditional sub-domain boundary element method (BEM) as the control, effectiveness of the present algorithm was verified for an elastic medium with a single elliptical inhomogeneity. It is shown that, with the present computational model and algorithm, significant improvements are achieved in terms of efficiency as compared with the traditional BEM and in terms of accuracy as compared with the constant eigenstrain formulation of the BIE.
- eigenstrain /
- Eshelby tensor /
- boundary integral equation /
- polynomial /
- inhomogeneity

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参考文献(27)

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