STP336

    Plastic Wave Propagation in Rods

    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.


    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.


    Paper ID: STP42028S

    Committee/Subcommittee: D20.10

    DOI: 10.1520/STP42028S


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