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Theoretical description of the phase transitions in NiMnGa shape memory alloys under an external stress along [110] axis 
Sergey V. Taskaev , Vasiliy D. Buchelnikov , Nikolay M. Didenko 
Chelyabinsk State University (ChelSU), Br. Kashirinykh Str, 129, Chelyabinsk 454021, Russian Federation 
Abstract 
Cubic Heusler NiMnGa shape memory alloys are of special attention, because of their structural and magnetic properties. In this kind of Heusler alloys martensitic phase transitions happen in the ferromagnetic state. F=T(e_{3}^{2}+e_{2}^{2})/2+sgn(b)e_{3}(e_{3}^{2}3e_{2}^{2})/3+(e_{3}^{2}+e_{2}^{2})^{2}/4+B(2^{1/2}e^{2}sin^{2}θcos2φ/2+ 6^{1/2}e^{3}(3cos^{2}θ1)/6)+K(sin^{2}2θ+sin^{4}θsin^{2}2φ)/4+σ(6^{1/2}/6e_{3}+1/2ξsin^{2}θsin2φ) Here T is the dimensionless temperature, ξ, B is the dimensionless magnetostriction constants, K is the dimensionless magnetic anisotropy constant, σ is the dimensionless stress, е_{2} and е_{3} are the combinations of the strain tensor, θ and φ are the polar and azimuthal angles of magnetization. In this work we consider the case of B>0 and K>0. 
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Presentation: Oral at EMRS Fall Meeting 2007, Symposium E, by Sergey V. Taskaev Submitted: 20070511 10:51 Revised: 20090607 00:44 