Analysis of multiple interfacial cracks in three-dimensional bimaterials using hypersingular integro-differential equation method

被引：0
作者：
Chun-hui Xu
Tai-yan Qin
Li Yuan
Nao-Aki Noda
机构：
[1] China Agricultural University,College of Sciences
[2] Kyushu Institute of Technology,Department of Mechanical Engineering
来源：
Applied Mathematics and Mechanics | 2009年 / 30卷
关键词：
stress intensity factor; singular integral equation; interface crack; finite-part integral; boundary element method; O346.1; 74R10; 74S15;
D O I：
暂无
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学科分类号：
摘要：
By using the concept of finite-part integral, a set of hypersingular integro-differential equations for multiple interfacial cracks in a three-dimensional infinite bimaterial subjected to arbitrary loads is derived. In the numerical analysis, unknown displacement discontinuities are approximated with the products of the fundamental density functions and power series. The fundamental functions are chosen to express a two-dimensional interface crack rigorously. As illustrative examples, the stress intensity factors for two rectangular interface cracks are calculated for various spacing, crack shape and elastic constants. It is shown that the stress intensity factors decrease with the crack spacing.
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