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Thermodynamics of shape-memory alloys under electric current |
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| Authors: | Tomáš Roubíček Giuseppe Tomassetti |
| Affiliation: | 1. Mathematical Institute, Charles University, Sokolovská 83, 186 75, Prague 8, Czech Republic 2. Institute of Thermomechanics of the ASCR, Dolej?kova 5, 182 00, Prague 8, Czech Republic 3. Dipartimento di Ingegneria Civile, Università di Roma “Tor Vergata”, Via Politecnico 1, 00133, Rome, Italy |
| Abstract: | Phase transformation in shape-memory alloys is known to cause electric resistivity variation that, under electric current, may conversely influence Joule heat production and thus eventually the martensitic transformation itself. A thermodynamically consistent general continuum-mechanical model at large strains is presented. In special cases, a proof of the existence of a weak solution is outlined, using a semidiscretization in time. |
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