Lie symmetry and conservation laws for magneto-static magnetic shape memory alloys system | Zendy

Krishnendu Haldar | Zendy; Dimitris C. Lagoudas | Zendy

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Lie symmetry and conservation laws for magneto-static magnetic shape memory alloys system

Author(s) -

Krishnendu Haldar,

Dimitris C. Lagoudas

Publication year - 2020

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2020.0168

Subject(s) - dissipative system , conservation law , homogeneous space , symmetry (geometry) , magnetic field , physics , magneto , classical mechanics , conservation of energy , mathematics , magnet , geometry , quantum mechanics

Magnetic shape memory alloys (MSMAs) have drawn significant research attention as potential high actuation energy multi-functional materials. Such a dissipative material system can be considered as a solid continuum interacting with a magnetic field. A continuum-based phenomenological model provides a magneto-mechanical system of equations that simulates and predicts primary MSMA behaviours. In this work, we investigate the local symmetries of the MSMA system equations through the Lie group analysis. Symmetry breaking due to stable-unstable transition is analysed. The conservation laws are derived, and their physical meaning is scrutinized.

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