“…Also, the martensite reorientation mechanism is adopted by Yu et al (2014) to describe the thermo-mechanical deformation of super-elastic NiTi SMA under the non-proportional multiaxial loading condition. However, the crystal plasticity based constitutive models (Huang and Brinson, 1998;Gao et al, 2000;Huang et al, 2000;Anand and Gurtin, 2003;Thamburaja, 2005;Thamburaja et al, 2005;Patoor et al, 2006;Wang et al, 2008;Manchiraju and Anderson, 2010;Yu et al, 2014) only focus on the thermo-mechanical behavior of NiTi SMA within one loading-unloading cycle, and then the transformation ratchetting of super-elastic NiTi SMA and its evolution during the cyclic loading cannot been reasonably predicted by them. More recently, Yu et al (2013) constructed a cyclic crystal plasticity based model to describe the transformation ratchetting of super-elastic NiTi SMA.…”