Abstract
The equilibrium configuration of an elastic perfectly plastic body may be described by its stress or its strain. By use of a first variation formula, a description of the strain tensor, not necessarily unique, is obtained from the stress, which is unique.
Most aspects of this work extend to more general elastic plastic models, in particular ones which lack convexity.
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This research was partially supported by the N.S.F.
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Hardt, R., Kinderlehrer, D. Elastic plastic deformation. Appl Math Optim 10, 203–246 (1983). https://doi.org/10.1007/BF01448387
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DOI: https://doi.org/10.1007/BF01448387