SEDL / STP / STP336-EB / STP42028S

Plastic Wave Propagation in Rods

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.

Pages: 13    Published: Jan 1963

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Abstract

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.