This paper derives a form for the relation between stress and finite elastic and plastic strains. The finite elastic and plastic contributions to large deformation are defined assuming that these arise from distinct elastic and plastic mechanisms of deformation. This assumption is mathematically represented by distinct relations between the elastic and plastic deformations and the state of stress. The choices for these relations are based on the theory of perfect elasticity and on the theory of quasistatic plasticity, but with modifications that permit the application to large strains and to dynamic situations. The expression for the dependence of the plastic deformation on the stress is explicitly strain-rate dependent. For simplicity the material is assumed to be isotropic. Constitutive relations are developed for the prohlem of one-dimensional stress-wave propagation.[This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to ] IP: 134.153.41.27 On: Wed, 26 Nov 2014 15:18:45 PLASTIC STRAI?\S t;.l\DER IMPULSIVE LOADIl'\G
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A theory of the indentation of a thick plate from impact by a flat-ended elastic cylinder is derived from elastic and plastic theories and compared to experimental values for 2024-T4 aluminum alloy, half-hard-naval brass and Armco iron. Plastic conditions in plates of the aluminum alloy are considered in detail by assuming an exponential increase in hardness to a maximum value. These results are sensitive to projectile length and are compared to experimental results for five projectile lengths.
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