Magnetic shape-memory alloys: thermomechanical modelling and analysis

被引：0
作者：
Tomáš Roubíček
Ulisse Stefanelli
机构：
[1] Charles University,Mathematical Institute
[2] Institute of Thermomechanics of the ASCR,Faculty of Mathematics
[3] Istituto di Matematica Applicata e Tecnologie Informatiche Enrico Magenes—CNR,undefined
[4] University of Vienna,undefined
来源：
Continuum Mechanics and Thermodynamics | 2014年 / 26卷
关键词：
Martensite; Weak Solution; Martensitic Transformation; Shape Memory Alloy; FePt;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A phenomenological model for the coupled thermo-electro-magneto-mechanical and phase-transformation behaviour of magnetic shape-memory alloys is advanced in small strains and eddy current approximation. The corresponding system of strongly nonlinear relations is tackled via a suitable enthalpy-like transformation. A fully implicit regularized time-discretization scheme is devised and proved to be stable and convergent. In particular, the convergence proof for discrete solutions entails that a suitably weak, energy-conserving solution to the continuous nonlinear system exists. Moreover, several particular models as e.g. ferro/paramagnetic transformation in ferromagnetic materials, martensitic transformation in shape memory allows, or just a simple thermistor problem are covered just as special cases.
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页码：783 / 810
页数：27
相关论文
共 177 条
  • [1] Aiki T.(2005)A model of 3D shape memory alloy materials J. Math. Soc. Jpn. 57 903-933
  • [2] Arndt M.(2003)Modelling and numerical simulation of martensitic transformation in shape memory alloys Contin. Mech. Thermodyn. 15 463-485
  • [3] Griebel M.(2011)A three-dimensional phenomenological models for magnetic shape memory alloys GAMM-Mitt. 34 90-96
  • [4] Roubıv cek T.(2013)A new ‘flexible’ 3D macroscopic model for shape memory alloys Discret. Contin. Dyn. Syst. Ser. S 6 277-291
  • [5] Auricchio F.(1997)A uniaxial model for shape-memory alloys Int. J. Solids Struct. 34 3601-3618
  • [6] Bessoud A.-L.(2008)A rate-independent model for the isothermal quasi-static evolution of shape-memory materials Math. Models Meth. Appl. Sci. 18 125-164
  • [7] Reali A.(2002)Improvements and algorithmical considerations on a recent three-dimensional model describing stress-induced solid phase transformations Int. J. Numer. Methods Eng. 55 1255-1284
  • [8] Stefanelli U.(2004)A three-dimensional model describing stress-temperature induced solid phase transformations. Part I: Solution algorithm and boundary value problems Int. J. Numer. Meth. Eng. 61 807-836
  • [9] Auricchio F.(2004)A three-dimensional model describing stress-temperature induced solid phase transformations. Part II: Thermomechanical coupling and hybrid composite applications Int. J. Numer. Meth. Eng. 61 716-737
  • [10] Bonetti E.(2007)A three-dimensional model describing stress-induces solid phase transformation with residual plasticity Int. J. Plast. 23 207-226
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