Phase Transformations in Electrically Conductive Ferromagnetic Shape-Memory Alloys, Their Thermodynamics and Analysis |
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Authors: | Tomáš Roubíček Giuseppe Tomassetti |
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Institution: | 1. Mathematical Institute, Charles University, Sokolovská 83, 186 75, Praha 8, Czech Republic 2. Institute of Thermomechanics of the ASCR, Dolej?kova 5, 182 00, Praha 8, Czech Republic 3. Dipartimento di Ingegneria Civile, Universitá di Roma “Tor Vergata”, Via Politecnico 1, Rome, 00133, Italy
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Abstract: | We derive a thermodynamically consistent general continuum-mechanical model describing mutually coupled martensitic and ferro/paramagnetic phase transformations in electrically-conductive magnetostrictive materials such as NiMnGa. We use small-strain and eddy-current approximations, yet large velocities and electric current injected through the boundary are allowed. Fully nonlinear coupling of magneto-mechanical and thermal effects is considered. The existence of energy-preserving weak solutions is proved by showing convergence of time-discrete approximations constructed by a carefully designed semi-implicit regularized scheme. |
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