Stability of a Rectangular Shape Memory Alloy Plate during the Forward Phase Transition for Thermomechanically Coupled Statement

Abstract

The stability of rectangular thin plates of Shape Memory Alloys during the forward martensitic phase transition induced by uniform cooling under constant stresses was studied. A model of the constitutive equations of Shape Memory Alloys describing phase structural deformation and taking into account thermomechanical coupling and resistance asymmetry was used. It was shown within the limits of this model that the structural deformation during the loss of stability could not occur. Analytical solutions obtained for different statements of the stability problem were compared. For some statements the curves separating the areas of stability and instability in the plane of stresses had concave parts were obtained. It was shown that increase of the plate thickness brought about rising the influence of the phase deformation on the stability loss process.