The scattering of wave energy during shock propagation through heterogenous
media is examined as an alternative to visco-plasticity as the physics und
erlying the formation of structured steady shock waves in polycrystalline m
etals. A theory based on a quasi-harmonic representation of scattered acous
tic energy in solids is pursued and used to develop continuum constitutive
relations to describe nonlinear wave propagation in heterogeneous solids. R
esulting constitutive models are compared with shock wave profile data for
metals. (C) 1998 Elsevier Science Ltd. All rights reserved.