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

abstract

• 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.

authors

• Lagoudas, Dimitris

published proceedings

• Proc Math Phys Eng Sci

author list (cited authors)

• Haldar, K., & Lagoudas, D. C.

citation count

• 0

complete list of authors

• Haldar, Krishnendu||Lagoudas, Dimitris C

publication date

• August 2020

publisher

• The Royal Society  Publisher

published in

• Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences  Journal

keywords

• Conservation Laws
• Lie Symmetry
• Magnetic Shape Memory Alloys
• Symmetry Breaking

PubMed Central ID

• 32922153

Digital Object Identifier (DOI)

• 10.1098/rspa.2020.0168

start page

• 20200168

volume

• 476

issue

• 2240

URL

• http://dx.doi.org/10.1098/rspa.2020.0168