Zhbadynskyi I. Concentration of dynamic stresses in piecewise-homogeneous space with cracks

The thesis is dedicated to solution of 3-D problems of time-harmonic and non-stationary loading of both single and multiple sub-interface plane cracks in an elastic bi-material space, as well as single plane crack in a piecewise-homogeneous space with a thin compliant interlayer as the constituent. By satisfaction of the conditions of perfect and im-perfect (in the case of presence of interlayer) bonding of half-spaces identically and the conditions of crack loading, the problems are reduced to the boundary integral equations (BIEs) relative to the functions of the crack opening displacements. Regularization and discretization procedures with the taking into account the behavior of solutions near the crack fronts are used for the numerical solution of the BIEs. Inertial and resonance effects of the influence of the interface on the cracks are analyzed on the time and frequency dependences of the stress intensity factors in the crack vicinities.