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Thermodynamics of shape-memory alloys under electric current

Publication at Faculty of Mathematics and Physics |
2010

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.