Mathematical and numerical analysis of Falk-Konopka-type models for shape-memory-alloys (Q2706048)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mathematical and numerical analysis of Falk-Konopka-type models for shape-memory-alloys |
scientific article |
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26 March 2001
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hyperbolic-parabolic system
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low-dimensional models
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centre manifold reduction
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thermomechanical phase transition
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Mathematical and numerical analysis of Falk-Konopka-type models for shape-memory-alloys (English)
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This paper is devoted to the mathematical theory of the thermomechanical phase transition. The mathematical models resulting from the Falk-Konopka generalization of the Landau theory to the meso-scale level are investigated. Using center manifold techniques the authors derive a low-dimensional model obtained directly from the three-dimensional Falk-Konopka model. Some computational experiments are discussed as well.
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