http://www.cnr.it/ontology/cnr/individuo/prodotto/ID285450
Magnetic shape-memory alloys: thermomechanical modelling and analysis (Articolo in rivista)
- Type
- Label
- Magnetic shape-memory alloys: thermomechanical modelling and analysis (Articolo in rivista) (literal)
- Anno
- 2014-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1007/s00161-014-0339-8 (literal)
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- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Roubicek T.; Stefanelli U. (literal)
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- http://link.springer.com/article/10.1007/s00161-014-0339-8 (literal)
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- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- Mathematical Institute, Charles University, Sokolovská 83, Praha 8, 186 75, Czech Republic; Institute of Thermomechanics of the ASCR, Dolejkova 5, Praha 8, 182 00, Czech Republic; Istituto di Matematica Applicata e Tecnologie Informatiche Enrico Magenes-CNR, v. Ferrata 1, Pavia, 27100, Italy; Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, Vienna, 1090, Austria (literal)
- Titolo
- Magnetic shape-memory alloys: thermomechanical modelling and analysis (literal)
- Abstract
- A phenomenological model for the coupled thermo-electro-magneto-mechanical and phase-transformation behaviour of magnetic shape-memory alloys is advanced in small strains and eddy current approximation. The corresponding system of strongly nonlinear relations is tackled via a suitable enthalpy-like transformation. A fully implicit regularized time-discretization scheme is devised and proved to be stable and convergent. In particular, the convergence proof for discrete solutions entails that a suitably weak, energy-conserving solution to the continuous nonlinear system exists. Moreover, several particular models as e.g. ferro/paramagnetic transformation in ferromagnetic materials, martensitic transformation in shape memory allows, or just a simple thermistor problem are covered just as special cases. (literal)
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