Three-dimensional dynamic problems of elasticity theory about steady torsional oscillations of bimaterials “half-space – layer with a crack”

Fìz.-mat. model. ìnf. tehnol. 2017, 25:141-150

Abstract

The three-dimensional dynamic problem of an elastic bimaterial "half-space − layer with a pennyshaped crack" is considered. The cracks surface are under time-stationary torsional loads. The problem is solved by boundary integral equations (BIE) method. Using solutions of Helmholtz potentials, the problem is reduced to a system of two BIE relatively unknown crack opening function. The dependences of the dynamic stress intensity factors mode III on the frequency of the applied load, the thickness of the layer, and the ratios of the elastic parameters of the materials body are analized.

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