Perfect plasticity as a zero relaxation limit of plasticity with isotropic hardening (Q2709883)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perfect plasticity as a zero relaxation limit of plasticity with isotropic hardening |
scientific article |
Statements
2 January 2002
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plasticity
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isotropic hardening
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Prandtl-Reuss model
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existence
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uniqueness
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energy estimates
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a priori estimates
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Perfect plasticity as a zero relaxation limit of plasticity with isotropic hardening (English)
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It is shown that the model of perfect plasticity with isotropic hardening approximates the Prandtl-Reuss model of the elastic-perfect plasticity. The approximation process presented is not of ``coercive type'' and the model of the perfect plasticity with isotropic hardening is a self-controlling model of monotone-gradient type. The Prandtl-Reuss model is studied with the von Mises flow rule. Existence, uniqueness and strong convergence results are proven. Energy and a priori estimates for the solutions are given.
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