Variational principles and convergence of finite element approximations of a holonomic elastic-plastic problem (Q1089159)
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scientific article; zbMATH DE number 4003619
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variational principles and convergence of finite element approximations of a holonomic elastic-plastic problem |
scientific article; zbMATH DE number 4003619 |
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Variational principles and convergence of finite element approximations of a holonomic elastic-plastic problem (English)
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1988
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It is shown that a boundary-value problem based on a holonomic elastic- plastic constitutive law, due to \textit{B. D. Reddy}, \textit{J. B. Martin} and \textit{T. B. Griffin} [Extremal paths and holonomic constitutive laws in elastoplasticity, Quart Appl. Math. (to appear)], may be formulated equivalently as a variational inequality of the second kind. A regularized form of the problem is analyzed, and finite element approximations are considered. It is shown that solutions based on finite element approximation of the regularized problem converge.
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boundary-value problem
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holonomic elastic-plastic constitutive law
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inequality of the second kind
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regularised problem
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0.92188495
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0.9195555
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0.91595185
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0.91274846
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