Thermodynamics of shape-memory alloys under electric current

  • Tomáš RoubíčekEmail author
  • Giuseppe Tomassetti


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.

Mathematics Subject Classification (2000)

35K55 74A15 74N10 80A17 


Generalized standard materials Heat equation Joule heat Electrically conductive media Martensitic transformation Weak solution 


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© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  1. 1.Mathematical InstituteCharles UniversityPrague 8Czech Republic
  2. 2.Institute of Thermomechanics of the ASCRPrague 8Czech Republic
  3. 3.Dipartimento di Ingegneria CivileUniversità di Roma “Tor Vergata”RomeItaly

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