Generalized Prandtl-Reuss Plastic Materials : II. Characteristic Surfaces and Acceleration Wave Propagation

Abstract

The necessary condition for existence of characteristic surface is obtained for hypoelastic materials and it is shown to coincide with the acceleration wave propagation condition. The wave speeds in plastic state are less than or equal to those in elastic state for the same stress state. The principal waves are analysed generally and classified into longitudinal or transverse waves for isotropic plastic materials. The principal transverse wave speeds have the same magnitudes for plastic and elastic state and they show identical acoustical birefringent effect for both states.