# Traditional Analysis of Nonlinear Wave Propagation in Solids

## Abstract

Before beginning a formal discussion of nonlinear wave propagation, it seems useful to describe some of the basic observations. Most of the work that has been done concerns the response of materials to compression because the experiments are convenient and permit access to states of larger deformation than can be attained in materials under tension. The simplest situation considered is that in which a wave is introduced into the material by applying a compressive force uniformly over the surface of a halfspace. When this force increases smoothly in time, the resulting wave is also smooth. However, it is observed that (with a few exceptions) the gradient in such a wave increases with increasing propagation distance. Eventually, the wavefront evolves into an almost discontinuous jump. One cannot expect formation of a true discontinuity, but this is often a useful mathematical approximation to reality.

## Keywords

Shock Compression Jump Condition Detonation Product Uniaxial Strain Traditional Analysis## Preview

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