Hard-magnetic soft magnetoelastic materials: energy considerations

Dorfmann, L. and Ogden, R. W. (2024) Hard-magnetic soft magnetoelastic materials: energy considerations. International Journal of Solids and Structures, 294, 112789. (doi: 10.1016/j.ijsolstr.2024.112789)

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Abstract

In the finite magnetoelastic deformation context, the Zeeman magnetic energy on its own is found to be inconsistent with the general theory of nonlinear magnetoelasticity. An appropriate additional term, depending on the definition of the reference configuration magnetization, is used to modify the total magnetoelastic energy to confer consistency. In particular, this confirms that the total Cauchy stress tensor is symmetric, in contrast to recent conclusions in the literature where the Zeeman magnetic energy was utilized.

Item Type:Articles
Keywords:Nonlinear magnetoelasticity, magnetoelastic constitutive laws, magnetization, magnetostatic energy.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond
Creator Roles:
Ogden, R.Writing – original draft, Writing – review and editing, Investigation, Formal analysis, Conceptualization
Authors: Dorfmann, L., and Ogden, R. W.
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:International Journal of Solids and Structures
Publisher:Elsevier
ISSN:0020-7683
ISSN (Online):1879-2146
Published Online:21 March 2024
Copyright Holders:Copyright © 2024 Elsevier Ltd.
First Published:First published in International Journal of Solids and Structures 294:112789
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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