Higher Order Mode-I Elastodynamic Stress and Displacement Fields of Dynamic Crack Propagation in Brittle Materials

Abstract

Higher order Mode-I elastodynamic stress and displacement fields at the tip of a crack are calculated by the perturbation method up to the 1-st order. The present method of derivation utilizes a certain condition at the crack tip and resolves the difficulty encountered otherwise. Including the 1-st order stress field we find that the well known hoop stress maximum at high crack velocity, which is considered to determine the direction of the branching, disappears when the crack is accelerated.