3-DIMENSIONAL MODEL FOR SOLIDS UNDERGOING STRESS-INDUCED PHASE-TRANSFORMATIONS

A phenomenological model describing the mechanical behavior of polycry stalline solids undergoing stress-induced phase transformations is pre sented in the setting of three-dimensional (3-D) media. The model, whi ch is developed within the framework of Generalized Standard Materials , has been built on a few basic assumptions, namely an admissibility c ondition for thermodynamic forces and a locking constraint for phase t ransformations. The macroscopic kinematic consequences of stress-induc ed phase transformations are described by a tensor named transformatio n strain. Numerical integrations of the resulting set of equations sho w that many features of shape memory alloys obtained by certain author ; for Cu-Al-Zn-Mn alloys under non-proportional loadings can be qualit atively described by the present model. (C) Elsevier, Paris.