A variationally consistent phase-field approach for micro-magnetic domain evolution at finite deformations

The present contribution proposes a finite-deformation phase-field model for ferromagnetic materials that can be employed for the simulation of micro-magnetic domain evolution in scenarios involving large deformations. The formulation is based on a fundamental rate-type variational principle and com...

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Bibliographic Details
Published in:Journal of the mechanics and physics of solids 2019-04, Vol.125, p.805-824
Main Authors: Keip, M.-A., Sridhar, A.
Format: Article
Language:English
Subjects:
Computer simulation
Deformation
Elastomers
Evolution
Ferromagnetic materials
Finite deformations
Magnetic domains
Magneto-mechanics
Magnetorheological elastomers
Mathematical models
Phase-field modeling
Variational principles
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Summary:The present contribution proposes a finite-deformation phase-field model for ferromagnetic materials that can be employed for the simulation of micro-magnetic domain evolution in scenarios involving large deformations. The formulation is based on a fundamental rate-type variational principle and combines classical concepts of nonlinear magneto-elasto-statics with a finite-deformation version of the celebrated Landau–Lifshitz equation. The variational principle is formulated in Lagrangian framework, thus fulfilling a priori objectivity requirements and allowing for straightforward numerical implementation. We demonstrate the capabilities of the formulation by a set of numerical studies with an emphasis on micro-magnetically informed simulations of ferromagnetic bodies embedded in elastomeric materials.
ISSN:0022-5096
1873-4782
DOI:10.1016/j.jmps.2018.11.012