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A Generalised Time-Dependent Mathematical Formulation for Magnetoelectrically Coupled Soft Solids at Finite Strains
Symmetry, Volume: 15, Issue: 3, Start page: 628
Swansea University Author:
Mokarram Hossain
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2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license
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DOI (Published version): 10.3390/sym15030628
Abstract
To date, the mechanical models of magnetoelectric couplings at finite strains have mainly been limited to time-independent constitutive equations. This paper enhances the literature by developing a time-dependent electromagnetic constitutive equation to characterise the mechanical behaviour of soft...
| Published in: | Symmetry |
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| ISSN: | 2073-8994 |
| Published: |
MDPI AG
2023
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa62781 |
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| Abstract: |
To date, the mechanical models of magnetoelectric couplings at finite strains have mainly been limited to time-independent constitutive equations. This paper enhances the literature by developing a time-dependent electromagnetic constitutive equation to characterise the mechanical behaviour of soft solids at finite strains and take into account the full form of the Maxwell equations. Our formulation introduces a symmetrical total stress and uses recently developed spectral invariants in the amended energy function; as a result, the proposed constitutive equation is relatively simple and is amenable to a finite-element formulation. |
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| Keywords: |
Symmetrical total stress; generalised mathematical formulation; nonlinear electro-magneto-elastic solid; time-dependent |
| College: |
Faculty of Science and Engineering |
| Issue: |
3 |
| Start Page: |
628 |