Contact problem for the mode III crack under two normally incident shear HS-waves with wave mode-shifting

Abstract

The frictional contact interaction of the finite crack edges in an infinite plane under antiplane deformation is studied for the case of normal incidence of two harmonic HS-waves with multiple mode-shifted frequencies. Boundary integral equation method and constrained optimization algorithm are used for the problem solution. The forces of contact interaction and displacement discontinuity are analyzed. Influence of the wave’s frequencies on the stress intensity factor for different normalized wave numbers and coefficients of friction is considered here.