Transactions of the Japan Society of Mechanical Engineers Series A
Online ISSN : 1884-8338
Print ISSN : 0387-5008
The Singular Integral Equation Method in the Analysis of a Crack Perpendicular to the Interface : The Hypersingular Integral Equation Method and the Body Force Method
Nao-aki NODAHideo UMEKIFazil ERDOGAN
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1989 Volume 55 Issue 520 Pages 2521-2526

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Abstract

In this paper, the plane problem of two bonded elastic half planes containing a crack perpendicular to and going through the interface is considered. The problem is formulated as a system of singular integral equations by using the stress field induced by "the displacement discontinuity". In solving the equations, the hypersingular integral equation method (HIEM) and the body force method (BFM) are compared. The calculation shows that the HIEM, in which the unknown function is approximated by the product of the weight function and chebychev polynominals, gives rapidly converging numerical results in this analysis.

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