Modeling the magnetic field control of phase transition in ferromagnetic shape memory alloys

Numerical Simulation of the Phase Transition Control in a Cylindrical Sample Made of Ferromagnetic Shape Memory Alloy

“…The kinematics of the phase transition is described in the framework of the model proposed for shape memory polymers in [19][20][21] and adapted to ferromagnetic shape memory alloys in [22]. We introduce the deformation gradients F A and F M to define the elastic strains of the austenitic (A) and martensitic (M) phases.…”

“…In view of the additivity of the rates of the variation of elastic (austenitic and martensitic), temperature, and phase strains, the kinematic equation (like in [22]) can be represented in the following form:…”

“…As follows from (12) and (13), Θ c ≡ M c = (M s + M f )/2 for the direct martensitic transformation and Θ c ≡ A c = (A s + A f )/2 for the reverse martensitic transformation. In the general case, when the thermal phase transitions occur under the action of stress and magnetic fields, a shift of Θ c is governed by the generalized Clausius-Clapeyron law (see [11] and [22]) during both the martensitic and austenitic phase transitions. In the framework of the theory of finite deformations, this shift is described by the expression [22]:…”

“…are the released (absorbed) heat and changes in the phase strains and magnetization during the phase transition, and µ 0 is the magnetic constant. Relation (13) in the presence of the stress and magnetic fields is transformed as follows [22]:…”

Thermal effects on high-frequency magnetic-field-induced martensite reorientation in ferromagnetic shape memory alloys: An experimental and theoretical investigation

“…Ferromagnetic Shape Memory Alloy (FSMA) is a typical smart material with thermo-magneto-mechanical coupling, which can provide a large recoverable deformation (up to 10% strain) by the temperature-, stress-or magnetic-field-induced phase transformation (PT) (Arndt et al, 2006;Bruno et al, 2016;Cisse et al, 2016;Haldar et al, 2014;Kainuma et al, 2006;Karaca et al, 2006;Liu et al, 2014;Rogovoy and Stolbova, 2016;Sehitoglu et al, 2012;Sutou et al, 2004) and the magneto-mechanically-driven martensite reorientation (MR) (Chen et al, 2014(Chen et al, , 2013Cisse et al, 2016;Dai et al, 2018;He et al, 2012Heczko et al, 2016;Karaca et al, 2006;Lagoudas, 2005, 2004;Molnar et al, 2008;Murray et al, 2000;O'Handley et al, 2000), leading to various potential engineering applications. Normally, the martensitic phase transformation of FSMA needs to be triggered by a high-level stress or a strong magnetic field, and is accompanied by large latent heat release/absorption that can be used as energy harvesters (Basaran, 2009;Saren et al, 2015;Sayyaadi et al, n.d.) and magneto-caloric refrigerators (Franco and Conde, 2012;Qu et al, 2017;Zhao et al, 2017).…”