Boundary Integral Description of the Dynamic Cracks Interaction Through a Thin Elastic Layer

Abstract

The problem of the stationary torsion oscillations of the opposite crack-surfaces, cracks are located in elastic biomaterial with thin interior layer, is solved by using non-classical boundary conditions. A system of two-dimensional boundary integral equations (BIEs) of the Helmholtz type with respect to unknown tangential displacements of the defects surfaces is deduced. Dependences of dynamic stress intensity factors (DSIF) in the cracks vicinity on the loading frequency and the material mismatch are analyzed.