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**Source: **STP42028S

If one examines the mechanics of an elastoplastic wave traveling along the axis of a thin rod, one can readily write down two equations relating the stress, σ, the strain, ϵ, and the particle velocity, ν, in terms of the independent variables, the position, ±, and the time, t. The two equations are obtained by use of the conservation of momentum and the condition of continuity on a small element. However, for a complete solution of the dependent variables, one additional equation relating σ to ϵ is necessary. It is the assumption as to the form of this equation that distinguishes the various plastic wave propagation theories.

**Author Information:**

Rajnak, S. *Research Mathematician and Associate Professor of Mechanical Engineering, University of California, Berkeley, Calif.*

Hauser, F. *Research Mathematician and Associate Professor of Mechanical Engineering, University of California, Berkeley, Calif.*

**Committee/Subcommittee:** D20.10

**DOI:** 10.1520/STP42028S