STRESS-INDUCED PHASE TRANSFORMATIONS IN RATE-TYPE VISCOELASTICITY

A Maxwell's rate-type viscoelastic constitutive equation is used to describe stress-induced phase transitions of shape memory alloys in an one-dimensional body. A simplified piecewise linear load-deformation equilibrium curve of "van der Waals type" is prescribed and the non-convex free-energy of the model is determined. We consider two classical types of loading devices : a hard device and a soft device. Energetic estimates and numerical solutions for the corresponding problems are given