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

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Numerical solutions of singular integral equations are discussed in the analysis of a planarrectangular interfacial crack in three-dimensional bimaterials. The problem is formulated as a system of singular integral equations on the basis of the body force method. In the numerical analysis, unknown bodyforce 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 factor 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 and are determined by the bimaterial constant alone, independent of elastic　modulus ratio and Poisson's ratio.

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