Nonlinear Antiplane Response of Rigid Inclusion to Incident Stress Wave

Abstract

The response of a rigid cylinder embedded in a homogeneous, isotropic half space to a step function incident stress wave is investigated. The boundary integral equation method is used directly in the time domain where two types of interfacial stresses are considered: In the first case, the interfacial stresses are not permitted to exceed a prescribed constant maximum value (elastic‐perfectly plastic interface behaviour); in the second case, a friction interface is considered where the limiting stresses vary along the interface according to the normal interfacial pressure. The angular distribution of shear stress at different times are examined to illustrate the redistribution of interfacial stresses. The relative displacements between the cylinder and half space are also presented.