Induced One-Dimensional Waves in Elastic Nonconductors

Abstract

The influence of a propagating discontinuity in the extrinsic body force and heat supply on the amplitude of induced shock and acceleration waves is studied. These waves are considered in the sense of moving surfaces of discontinuity in certain field quantities associated with a motion of the body. In the case of acceleration waves, an explicit relation is derived for the amplitude of the wave in terms of the extrinsic forces and the material parameters. A similar relation is exhibited for shock waves of small amplitude. Only the one-dimensional case is considered here and the material is assumed to be a nonconductor of heat.