Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity (Q1949969)
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| Language | Label | Description | Also known as |
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| English | Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity |
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Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity (English)
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21 May 2013
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Summary: We provide a rigorous justification of the classical linearization approach in plasticity. By taking the small-deformations limit, we prove via \(\Gamma\)-convergence for rate-independent processes that energetic solutions of the quasi-static finite-strain elastoplasticity system converge to the unique strong solution of linearized elastoplasticity.
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finite-strain elastoplasticity
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linearized elastoplasticity
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\(Gamma\)-convergence
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rate-independent processes
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