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  • A phenomenological model for the coupled thermo-electro-magneto-mechanical and phasetransformation 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 enthalpylike 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.
  • A phenomenological model for the coupled thermo-electro-magneto-mechanical and phasetransformation 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 enthalpylike 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. (en)
Title
  • Magnetic shape-memory alloys: thermomechanical modelling and analysis
  • Magnetic shape-memory alloys: thermomechanical modelling and analysis (en)
skos:prefLabel
  • Magnetic shape-memory alloys: thermomechanical modelling and analysis
  • Magnetic shape-memory alloys: thermomechanical modelling and analysis (en)
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  • RIV/61388998:_____/14:00435059!RIV15-GA0-61388998
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  • I, P(GAP201/10/0357)
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  • 6
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  • 26907
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  • RIV/61388998:_____/14:00435059
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  • magnetic shape-memory alloys; martensitic phase transformation; ferro/paramagnetic phase transformation (en)
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  • DE - Spolková republika Německo
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  • [F0BC30B5E246]
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  • Continuum Mechanics and Thermodynamics
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  • 26
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  • Roubíček, Tomáš
  • Stefanelli, U.
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  • 000344161000003
issn
  • 0935-1175
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s00161-014-0339-8
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