“…Three-dimensional phenomenological models have been developed in the form of plasticity models with an internal variable such as the mass fraction of martensite (see, Auricchio, 1995;Boyd and Lagoudas, 1996a,b;Leclercq and Lexcellent, 1996;Lubliner and Auricchio, 1996;Panoskaltsis et al, 2004;Lagoudas et al, 2006) and most have been compared only to uniaxial experimental data. The researchers following a micromechanics approach (Kafka, 1994;Tokuda et al, 1998;Huang et al, 2000;Thamburaja and Anand, 2001;Novak and Sˇittner, 2004;Zhu and Liew, 2004;Lagoudas et al, 2006;Patoor et al, 2006) tried to follow very closely the crystallographic phenomena within the material, using thermodynamics laws to describe the transformation. In general, these models are more complicated than the phenomenological models and much more computationally demanding.…”