Interaction between a Compliant DiskShaped Inclusion and a Crack Upon Incidence of an Elastic Wave
V. V. Mikhas'kiv^{}, I. O. Butrak^{}, I. P. Laushnik^{}
Keywords: threedimensional elastic matrix, diskshaped inclusion, crack, harmonic elastic wave, dynamic stress intensity factors, method of boundary integral equations
Abstract
The propagation of harmonic elastic wave in an infinite threedimensional matrix containing an interacting lowrigidity diskshaped inclusion and a crack. The problem is reduced to a~system of boundary integral equations for functions that characterize jumps of displacements on the inclusion and crack. The unknown functions are determined by numerical solution of the system of boundary integral equations. For the symmetric problem, graphs are given of the dynamic stress intensity factors in the vicinity of the circular inclusion and the crack on the wavenumber for different distances between them and different compliance parameters of the inclusion.
