MODELING THE EFFECTS OF STRESS STATE AND CRYSTAL ORIENTATION ON THE STRESS-INDUCED TRANSFORMATION OF NITI SINGLE-CRYSTALS

A model that combines the phenomenological theory of martensite with a generalized Schmid's law has been used to predict the principal stress combinations required to induce the martensitic transformation in unconstrained NiTi shape memory alloy (SMA) single crystals. The transformation surfaces prescribed by the model are anisotropic and asymmetric, reflecting the unidirectional character of shear on individual martensite habit planes. Model predictions of the transformation strain as a function of stress axis orientation for a uniaxial applied stress further demonstrate the anisotropy of the stress-induced transformation in NiTi single crystals. Model results for the uniaxial stress case compare favorably with previously published experimental observations for aged NiTi single crystals.