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Stress Singularities of an Inclined Crack Terminating at the Interface between Two Dissimilar Anisotropic Media

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並列摘要


Using Stroh's formalism, the stress singularity problem of a slit-like crack inclined to the interface between two dissimilar anisotropic elastic media has been formulated and solved numerically. Near the crack tip, stresses are assumed to exhibit a power type of singularity of the form r(superscript δ-1) with 0<Re (δ)<1, where r is distance from the crack tip. From the boundary conditions, allowable values of δ are determined by the vanishing of an 18×18 determinant and found by numerical methods that employ MINPACK and UNPACK routines. We are able to find all the admissible values for δ subject to the restriction 0<Re (δ)<1. A significant result involves a crack perpendicular to the interface between two dissimilar isotropic materials, in which case the anti-plane mode has a stronger singularity than the in-plane modes for the occasions that the crack resides in the larger shear modulus medium.

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