Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (3): 293-301.doi: https://doi.org/10.1007/s10483-009-0303-z

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

Chun-hui XU, Tai-yan QIN ,Li YUAN, Nao-Aki Noda   

  1. 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
  • Received:2008-09-28 Revised:2009-02-06 Online:2009-03-05 Published:2009-03-01
  • Contact: Chun-hui XU, Associate Professor, Ph. D., E-mail: xuchunhui cau@163.com E-mail:xuchunhui cau@163.com

Abstract: By using the concept of finite-part integral, a set of hypersingular integrodifferential 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.

Key words: stress intensity factor, singular integral equation, interface crack, finite-part integral, boundary element method

2010 MSC Number: 

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