Shape memory alloys as gradient-polyconvex materials
| Autor: | Kružík, Martin, Pelech, Petr, Schlömerkemper, Anja |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We show existence of an energetic solution to a model of shape memory alloys in which the elastic energy is described by means of a gradient-polyconvex functional. This allows us to show existence of a solution based on weak continuity of nonlinear minors of deformation gradients in Sobolev spaces. Resulting deformations are orientation-preserving and injective everywhere in a domain representing the specimen. |
| Databáze: | arXiv |
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