Contact problem for flat crack under two normally incident tension–compression waves with wave mode-shifting

Abstract

The frictionless contact interaction of the finite crack edges in an infinite plane is studied for the case of normal incidence of two harmonic tension–compression waves with multiple mode-shifted frequencies. Boundary integral equation method and constrained optimization algorithm are used for the problem solution. Distribution of the forces of contact interaction and displacement discontinuity in space and time are analyzed. Influence of the wave frequencies on the stress intensity factor for different normalized wave numbers is considered here.