ABSTRACT
Here, T > 0 , ft = (0,1) and Q = ft x (0, T ) . System (2.1a-f) constitutes a model for the thermomechanical solid-solid phase transi tions in a shape memory piece, simply supported at both ends and thermally insulated at x = 0, that is subjected to the actions of body forces ƒ , heat sources g , and the outside tem perature · In this connection, the equations (2.1a) and (2.1b) reflect the balance laws of linear momentum and energy, respectively, where all physical quantities have been normalized to unity. For a detailed description of the physical background, we refer the reader to [6]. We make the following general assumptions on the data.
