Publication 26-CNA-009
Dynamic Micromagnetism a la Ericksen-Leslie, and the Constrained Polar Continuum Mechanics of Hard Magnetic Soft Materials
Amit Acharya
Department of Civil & Environmental Engineering
Center for Nonlinear Analysis
Carnegie Mellon University
Pittsburgh, PA 15213
acharyaamit@cmu.edu
Siladitya Pal
Department of Mechanical and Industrial Engineering
Indian Institute of Technology Roorkee
Roorkee, Uttarakhand,
247667 India
siladitya.pal@me.iitr.ac.in
Abstract: A model of dissipative micromagnetics coupled to (visco-)elasticity is explored, following the procedures of the Ericksen-Leslie theory of nematic liquid crystals allowing for angular momentum due to magnetization. An outcome is the Landau-Lifshitz-Gilbert theory coupled to material spin. A further power-less augmentation to the angular momentum of the theory with classical kinetic energy density is also considered, with a preliminary exploration of its potential in representing the Einstein-de Haas and Barnett effects within continuum mechanics. A treatment of the continuum mechanics of hard magnetic soft materials as a constrained polar material is presented. The models of DeSimone and James (2002) and Zhao et al. (2019) are discussed as two different, namely energetically and kinematically, constrained models of magnetoelasticity encompassed within the overall framework.
Dedicated to a celebration of the career of Professor Robin KnopsGet the paper in its entirety as 26-CNA-009.pdf
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