Experimental comparison for two one-dimensional constitutive models for shape memory alloy wires used in anti-seismic applications

This work addresses a comparison between the theoretical responses of two different one-dimensional constitutive models for shape memory alloys (SMAs) and a set of experimental data obtained for superelastic SMA wires used in seismic applications. The first model, proposed by Abeyaratne and Kim [1] and modified in [2], is based on a micro-mechanical approach and is developed in the framework of finite deformation theory of thermoelasticity with non-convex energy. The second model, proposed by Auricchio et al.[3], is a simpler phenomenological model developed within the theory of irreversible thermodynamics with internal variables. Both model are temperature and rate dependent and account for the different elastic moduli of austenite and martensite. Besides, both models take into account the thermomechanical coupling. The models are numerically validated and calibrated on the basis of experimental tensile tests carried on specimens of the two different wires at different temperature and different loading rates.