Work

A series of papers is dedicated to the study of the influence of spatial cracks, inclusions and interlayers on the stress-strain state of elastic homogeneous and piecewise-homogeneous bodies under various dynamic loads. The three-dimensional problems of time-harmonic and non-stationary loading in elastic homogeneous and piecewise-homogeneous bodies with internal, sub-interface cracks and three-dimensional inclusions reduced to the boundary integral equations (BIEs) relative to the functions that characterize spring displacements and stresses at the corresponding defect. Regularization and discretization procedures with the taking into account the behavior of solutions near the defects are used for the numerical solution of the BIEs. Inertial and resonance effects of the influence of the interface materials, penny-shaped and spherical inclusions on the cracks are analyzed on the time dependences of the stress intensity factors in the defects vicinities, and in the case of steady-state deformation on the dependences of the stress intensity factors versus dimensionless wave numbers for different inhomogeneities localizations, their sizes, the relations between the elastic modulus of the solid constituents and the contact conditions on the interface.