“…(1) phenomenological macroscopic constitutive models in terms of stress, strain, and temperature with assumed phase transformation kinetics described by preestablished simple mathematical functions proposed by Tanaka [11], Liang and Rogers [12], Brinson [13], Boyd and Lagoudas [14,15], Li et al [16], Tobushi et al [17], and Sun and Rajapakse [18]; among others. (2) one-dimensional polynomial models based on Devonshire's theory with an assumed polynomialfree energy potential, which allows superelasticity and SME description, presented by Falk et al [19,20]; (3) thermodynamic models based on the free energy and dissipation potential developed by Patoor et al [21], Sun and Hwang [22,23], Huang and Brinson [24], and Boyd and Lagoudas [25]; (4) plastic flow models based on dislocation theories of solid state physics proposed by Graesser and Cozzarelli [26,27], lately improved by Wilde et al [28], Zhang and Zhu [29], and Ren et al [30].…”