Abstract
Like in the plasticity theory, the prediction of phase transformation yield surfaces constitutes a key point in the modeling of polycrystalline shape memory alloys thermomechanical behavior. Generally in some micro-macro integration, the nature of the interface between austenite and twinned or untwinned martensite under stress free state and the choice of correspondance variants (CV) or habit plane variant (HPV) are determining for the explicit expression of the yield criterion. If the prediction of some copper-based alloys (interface between austenite and one single variant of martensite) and the Cu-Al-Ni for cubic to orthorhombic phase transformation (interface between austenite and twinned martensite) is fairly good, the prediction is not efficient for the important case of Ti-Ni (interface between austenite and twinned martensite with stress free state). The usual hypothesis consisting in neglecting the effect of stress on the interface geometrical configuration must be revisited.
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