Modelling of thermodynamics of martensitic transformation in shape-memory alloys

Pages: 892 - 902, Issue Special, September 2007

 Abstract        Full Text (253.8K)              

Tomáš Roubíček - Mathematical Institute, Charles University, Sokolovská 83, CZ-186 75 Praha 8, Czech Republic (email)

Abstract: Existence of a solution to the thermo-visco-elasto-"plastic-type" system involving also higher capillarity/viscosity terms and describing thermodynamics of activated martensitic transformation at large strains is proved by a careful successive passage to a limit in a suitably regularized Galerkin approximation.

Keywords:  Thermoviscoelasticity, nonconvex stored energy, activated processes.
Mathematics Subject Classification:  Primary: 35K55; Secondary: 74A15, 74N10, 80A17.

Received: September 2006;      Revised: January 2007;      Published: September 2007.