Axisymmetric Mixed Boundary Value Problem for Composite Space with Coin-Shaped Crack

The article presents an explicit solution of the mixed axisymmetric boundary value problem for anelastic composite space, consisting of two different half-spaces. There is a coin-shaped crack on the interfacing surface of these spaces. There are given stresses on one edge of the crack and the displacements on the other edge. The indicial equations of the posed problem as a system of two singular integral equations of the second kind were obtained. The closed solution of the system is found. The coefficients of a contact stress concentration on the boundary circle of the coin-shaped crack are determined. The changing patterns depended on the elastic half-space properties are studied. In the particular case, when on the lower edge of the coin-shaped crack a rigid disk-inclusion concatenates with it completely concatenates with it under a point load, the rigid displacement is determined.

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