Mathematical modeling of processes in a stressed medium for the case of a sudden break in continuity

A problem is examined about nonstationary processes in a preliminary stressed medium in the case of sudden appearance of viscoelastic break in the conditions of longitudinal shear. It is assumed that the break takes place along a semi-infinite strip coincident with the plane of maximum shear stresses. The problem is solved analytically in terms of displacements by the Wiener–Hopf method.