http://www.cnr.it/ontology/cnr/individuo/prodotto/ID279346
A macroscopic model for magnetic shape-memory single crystals (Articolo in rivista)
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- A macroscopic model for magnetic shape-memory single crystals (Articolo in rivista) (literal)
- Anno
- 2013-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1007/s00033-012-0223-y (literal)
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Anne-Laure Bessoud, Martin Kruzík, Ulisse Stefanelli (2013)
A macroscopic model for magnetic shape-memory single crystals
in Zeitschrift für Angewandte Mathematik und Physik; Springer Basel, Basel (Swaziland)
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- Anne-Laure Bessoud, Martin Kruzík, Ulisse Stefanelli (literal)
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- http://link.springer.com/article/10.1007/s00033-012-0223-y (literal)
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- IMATI-CNR, Via Ferrata 1, 27100 Pavia, Italy;
Institute of Information Theory and Automation of the AV CR, Pod Vodárenskou vezi 4, 182 08 Prague, Czech Republic;
Faculty of Civil Engineering, Czech Technical University, Thákurova 7, 166 29 Praha 6, Czech Republic (literal)
- Titolo
- A macroscopic model for magnetic shape-memory single crystals (literal)
- Abstract
- A rate-independent model for the quasi-static magneto-elastic evolution of a magnetic shape-memory single crystal is presented. In particular, the purely mechanical Souza-Auricchio model for shape-memory alloys is here combined with classical micro-magnetism by suitably associating magnetization and inelastic strain. By balancing the effect of conservative and dissipative actions, a nonlinear evolution PDE system of rate-independent type is obtained. We prove the existence of so-called energetic solutions to this system. Moreover, we discuss several limits for the model corresponding to parameter asymptotics by means of a rigorous ?-convergence argument. (literal)
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