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Haldar K, Lagoudas DC. Constitutive modelling of magnetic shape memory alloys with discrete and continuous symmetries. Proc Math Phys Eng Sci. 2014;470(2169):20140216doi: 10.1098/rspa.2014.0216.
Haldar, K., & Lagoudas, D. C. (2014). Constitutive modelling of magnetic shape memory alloys with discrete and continuous symmetries. Proceedings. Mathematical, physical, and engineering sciences, 470(2169), 20140216. https://doi.org/10.1098/rspa.2014.0216
Haldar, K, and Lagoudas, D C. "Constitutive modelling of magnetic shape memory alloys with discrete and continuous symmetries." Proceedings. Mathematical, physical, and engineering sciences vol. 470,2169 (2014): 20140216. doi: https://doi.org/10.1098/rspa.2014.0216
Haldar K, Lagoudas DC. Constitutive modelling of magnetic shape memory alloys with discrete and continuous symmetries. Proc Math Phys Eng Sci. 2014 Sep 08;470(2169):20140216. doi: 10.1098/rspa.2014.0216. PMID: 25197247; PMCID: PMC4123769.
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Proc Math Phys Eng Sci. 2014 Sep 08;470(2169):20140216. doi: 10.1098/rspa.2014.0216.

Constitutive modelling of magnetic shape memory alloys with discrete and continuous symmetries.

Proceedings. Mathematical, physical, and engineering sciences

K Haldar, D C Lagoudas

Affiliations

  1. Department of Aerospace Engineering , Texas A&M University , College Station, TX 77843, USA.

PMID: 25197247 PMCID: PMC4123769 DOI: 10.1098/rspa.2014.0216

Abstract

A free energy-based constitutive formulation is considered for magnetic shape memory alloys. Internal state variables are introduced whose evolution describes the transition from reference state to the deformed and transformed one. We impose material symmetry restrictions on the Gibbs free energy and on the evolution equations of the internal state variables. Discrete symmetry is considered for single crystals, whereas continuous symmetry is considered for polycrystalline materials.

Keywords: constitutive modelling; discrete and continuous symmetry; magnetic shape memory alloys

References

  1. Nature. 2006 Feb 23;439(7079):957-60 - PubMed
  2. J Phys Condens Matter. 2010 Mar 10;22(9):096002 - PubMed

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