Controlling parameter of the stress intensity factors for a planar interfacial crack in three-dimensional bimaterials

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:45

Article

Noda, Nao-Aki^1,2  Chunhui Xu^1,2 

[1] Kyushu Inst Technol, Dept Mech Engn, Kitakyushu, Fukuoka 8048550, Japan

[2] Chinese Agr Uni, Coll Sci, Beijing 100083, Peoples R China

关键词: elasticity;    stress intensity factor;    body force method;    interface crack;    singular integral equation;   

DOI  :  10.1016/j.ijsolstr.2007.09.013

来源: Elsevier

【 摘 要 】

Numerical solutions of singular integral equations are discussed in the analysis of a planar rectangular interfacial crack in three-dimensional bimaterials subjected to tension. The problem is formulated as a system of singular integral equations on the basis of the body force method. In the numerical analysis, unknown body force densities are approximated by the products of the fundamental density functions and power series, where the fundamental density functions are chosen to express singular behavior along the crack front of the interface crack exactly. The calculation shows that the present method gives smooth variations of stress intensity factors along the crack front for various aspect ratios. The present method gives rapidly converging numerical results and highly satisfied boundary conditions throughout the crack boundary. The stress intensity factors are given with varying the material combination and aspect ratio of the crack. It is found that the stress intensity factors K-I and K-II are determined by the bimaterial constant E alone, independent of elastic modulus ratio and Poisson's ratio. (c) 2007 Elsevier Ltd. All rights reserved.

【 授权许可】

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