Existence, Uniqueness and Regularity of Solutions for a Thermomechanical Model of Shape Memory Alloys

Abstract

This paper considers a thermomechanical model describing the behavior of shape memory alloys (SMA). This new model (see [3]) takes into account the nonisothermal character of the phase transformations, as well as the existence of the intrinsic dissipation. For the governing equations we prove existence, uniqueness and regularity in certain well chosen functions spaces.MSC: 74N30, 74H20, 74H25.

A note on: “Monotone strain-stress models for shape memory alloys hysteresis loop and pseudoelastic behavior” [Z. Angew. Math. Phys. (ZAMP) 56 (2005), 304–356]

“…In [5] we proved the existence of solutions in the space of all continuous functions with respect to the derivative in the sense of distributions. Existence, uniqueness and regularity of solutions in various functions spaces were obtained in [6].…”