Abstract
Mode III problem for a semi-infinite crack terminating at bimaterial interface is investigated. The interface is modelled by different interfacial contact conditions. Corresponding boundary value problems are reduced to functional-different equations by the Fourier and Mellin integral transforms, and later to systems of singular integral equations with fixed points singularities. Solutions of the problems for various interfacial contact conditions are found. Particularly, the singularity of stresses near the crack tip is calculated. Numerical results of the singularity exponents, stress intensity factors, and jumps of the displacement near the crack tip are presented.
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