Numerical simulation of equilibrium shocks in maximally dissipative elastic systems. I: The one-dimensional case (Q1805080)
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scientific article; zbMATH DE number 753639
| Language | Label | Description | Also known as |
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| English | Numerical simulation of equilibrium shocks in maximally dissipative elastic systems. I: The one-dimensional case |
scientific article; zbMATH DE number 753639 |
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Numerical simulation of equilibrium shocks in maximally dissipative elastic systems. I: The one-dimensional case (English)
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15 August 1995
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An algorithm designed for the determination of equilibrium shocks that appear in quasi-static evolution problems associated to elastic nonmonotonous stress-strain laws is presented in the context of one- dimensional media. Two basic procedures are involved: (i) enhancement of the finite element in order to describe the weak discontinuities in any point of its interior, and (ii) implementation of a return mapping algorithm for the determination of the shocks, which have to satisfy the inequality constraints imposed by a maximally dissipative hypothesis. A rigorous proof of the unconditional stability of the algorithm is also given.
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quasi-static evolution problems
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nonmonotonous stress-strain laws
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finite element
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weak discontinuities
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return mapping algorithm
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unconditional stability
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