Abstract:
In present paper the discontinuous solutions of equations for anti-plane problem of the elasticity theory for piece-wise space, formed by alternate junction of two heterogeneous layers with same thickness from different materials, with interphase doubly-periodic defects, when the displacements, as well as the stresses are discontinuous. Using these solutions the governing singular integral equations are written for two stated problems: the defect is the finite tunnel crack and the defect is finite tunnel crack with absolutely rigid thin inclusion welded to its one bank. The solutions of governing equations are built by the method of mechanical quadtratures. The numerical analysis are fulfilled and the character of changing of the displacements of edges of cracks is revealed, the stress intensity factor and contact stresses on junction line of the inclusion with matrix are determined depending on geometrical and physical and mechanical parameters.
