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

作　　者：徐春晖 秦太验 袁丽 野田尚昭 Xing-ming GUO 

机构地区：[1]College of Sciences, China Agricultural University, Beijing 100083, P. R. China [2]Department of Mechanical Engineering, Kyushu Institute of Technology, Kitakyushu, 804-8550, Japan [3]不详

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第3期293-301,共9页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (No. 10872213)

摘　　要：By using the concept of finite-part integral, a set of hypersingular integro-differential equations for multiple interracial 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.By using the concept of finite-part integral, a set of hypersingular integro-differential equations for multiple interracial 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.

关 键 词：stress intensity factor singular integral equation interface crack finite-part integral boundary element method 

分 类 号：O346.1[理学—固体力学]