Abstract
This paper investigates an initial and boundary value problem describing the thermomechanical behavior of shape memory alloys. In the strain tensor an elastic contribution is combined with a phase transformation term, for which only one of the phases turns out to be responsible. In particular, the solid-solid phase transition between the austenite phase and the martensites is described by two functionals, the free energy and the pseudo-potential of dissipation. A global existence and uniqueness result is stated by use of a fixed point argument and contracting estimates technique.
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