The effect of radial inertia on the plastic stress wave speeds in thin-walled tubes under combined stress

Abstract

The plastic wave speeds in a thin-walled tube of rate insensitive material subject to combined axial and torsional loading may be calculated in closed form. For a given stress state the wave speeds are determined from theories which differ in their formulation only by the inclusion of radial inertia. For axial stress states it is shown that for specific values of the tangent modulus both the fast and slow wave speeds coincide with the elastic shear wave speed and that the inclusion of radial inertia markedly affects these critical values of tangent modulus.