Haldar Krishnendu, Lagoudas Dimitris C
Department of Aerospace Engineering, Indian Institute of Technology Bombay, Mumbai 400076, India.
Department of Aerospace Engineering and Department of Materials Science and Engineering, Texas A&M University, College Station, TX 77843, USA.
Proc Math Phys Eng Sci. 2020 Aug;476(2240):20200168. doi: 10.1098/rspa.2020.0168. Epub 2020 Aug 5.
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.
磁性形状记忆合金（MSMA）作为潜在的高驱动能量多功能材料，已引起了大量的研究关注。这样一种耗散材料系统可被视为与磁场相互作用的固体连续介质。基于连续介质的唯象模型提供了一个磁机械方程组，用于模拟和预测MSMA的主要行为。在这项工作中，我们通过李群分析研究了MSMA系统方程的局部对称性。分析了由于稳定-不稳定转变导致的对称性破缺。推导了守恒定律，并审视了它们的物理意义。
