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Axisymmetric boundary integral equation analysis of interface cracks between dissimilar materials

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Abstract

The numerical boundary integral equation (BIE) method with quadratic quarter-point crack-tip singular elements is used to analyse interface cracks between dissimilar material in axisymmetry. Such crack problems present modelling difficulties using conventional procedures for obtaining the stress intensity factors. This is because of the oscillatorily singular nature of the stresses in the vicinity of the bimaterial interface crack-tip. Analytical expressions for the direct evaluation of the fracture characterising parameters from the BIE numerical results of displacements or tractions are derived. Three different crack problems are investigated, two of which have known solutions in the literature. Excellent agreement between the BIE results and these other established solutions are obtained even with relatively coarse mesh discretisations. The present study illustrates the ease with which the BIE method may be used in the fracture analysis of both straight and curved binaterial interface cracks.

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Authors and Affiliations

  1. Department of Mechanical & Aerospace Engineering, Carleton University, K1S 5B6, Ottawa, Canada

    C. L. Tan & Y. L. Gao

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  1. C. L. Tan
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  2. Y. L. Gao
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Communicated by S.N. Atluri, July 10, 1990

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Tan, C.L., Gao, Y.L. Axisymmetric boundary integral equation analysis of interface cracks between dissimilar materials. Computational Mechanics 7, 381–396 (1991). https://doi.org/10.1007/BF00350167

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