Analysis of Multiple Interfacial Cracks in Three Dimensional Bimaterials Using Hypersingular Integral-Differential Equation Method

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

Volume 30 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(3): 282-290

XU Chun-hui, QIN Tai-yan, YUAN Li, Noda Nao-Aki. Analysis of Multiple Interfacial Cracks in Three Dimensional Bimaterials Using Hypersingular Integral-Differential Equation Method[J]. Applied Mathematics and Mechanics, 2009, 30(3): 282-290.

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Analysis of Multiple Interfacial Cracks in Three Dimensional Bimaterials Using Hypersingular Integral-Differential Equation Method

1.
College of Science, China Agricultural University, Beijing 100083, P. R. China;

Received Date: 2008-09-28
Rev Recd Date: 2009-02-06
Publish Date: 2009-03-15

Abstract

Abstract

Using the finite-part integral concepts, a set of hypersingular integraldifferential equations for multiple interfacial cracks in a three-dimensional infinite bimaterial subjected to arbitrary loads was derived. In the numerical analysis, unknown displacement discontinuities were approximated by the products of the fundamental density functions and power series, where the fundamental functions were chosen to express a two-dimensional interface crack exactly. As illustrative examples, the stress intensity factors for two rectangular interface cracks were calculated for various spacing, crack shape and elastic constants. It is shown that the stress intensity factors decrease with the increasing of crack spacing.
- stress intensity factor,
- singular integral equation,
- interface crack,
- finitepart integral,
- boundary element method

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