Generalized Prandtl-Reuss Plastic Materials : III. Growth and Decay of Acceleration Waves and Propagating Boundary Surfaces

Abstract

The growth and decay of the acceleration waves in elastic materials and of the propagating acceleration boundary burfaces between elastic and plastic states are theoretically investigated. The deformation states of elastic materials before the waves or boundaries are assumed to be static and homogeneous. The principal transverse waves and boundaries can propagate with constant strength. The principal longitudinal waves and boundaries may grow boundless for one of dilatational or compressive initial disturbance and they may coalesce respectively into shock waves and shock boundaries. Numerical evaluations for iron are calculated.