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A Generalised Time-Dependent Mathematical Formulation for Magnetoelectrically Coupled Soft Solids at Finite Strains

Mohd Halim Bin Mohd Shariff, Roger Bustamante, Mokarram Hossain Orcid Logo

Symmetry, Volume: 15, Issue: 3, Start page: 628

Swansea University Author: Mokarram Hossain Orcid Logo

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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...

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Published in: Symmetry
ISSN: 2073-8994
Published: MDPI AG 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa62781
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last_indexed 2024-11-14T12:21:34Z
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spelling 2023-04-20T15:57:17.1815446 v2 62781 2023-03-03 A Generalised Time-Dependent Mathematical Formulation for Magnetoelectrically Coupled Soft Solids at Finite Strains 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2023-03-03 ACEM 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. Journal Article Symmetry 15 3 628 MDPI AG 2073-8994 Symmetrical total stress; generalised mathematical formulation; nonlinear electro-magneto-elastic solid; time-dependent 2 3 2023 2023-03-02 10.3390/sym15030628 http://dx.doi.org/10.3390/sym15030628 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University 2023-04-20T15:57:17.1815446 2023-03-03T14:46:22.2686577 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Mohd Halim Bin Mohd Shariff 1 Roger Bustamante 2 Mokarram Hossain 0000-0002-4616-1104 3 62781__26729__8844bcec7644423586a363e4ff69f58b.pdf 62781.pdf 2023-03-03T14:50:36.2457529 Output 341477 application/pdf Version of Record true 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 true eng https://creativecommons.org/licenses/by/4.0/
title A Generalised Time-Dependent Mathematical Formulation for Magnetoelectrically Coupled Soft Solids at Finite Strains
spellingShingle A Generalised Time-Dependent Mathematical Formulation for Magnetoelectrically Coupled Soft Solids at Finite Strains
Mokarram Hossain
title_short A Generalised Time-Dependent Mathematical Formulation for Magnetoelectrically Coupled Soft Solids at Finite Strains
title_full A Generalised Time-Dependent Mathematical Formulation for Magnetoelectrically Coupled Soft Solids at Finite Strains
title_fullStr A Generalised Time-Dependent Mathematical Formulation for Magnetoelectrically Coupled Soft Solids at Finite Strains
title_full_unstemmed A Generalised Time-Dependent Mathematical Formulation for Magnetoelectrically Coupled Soft Solids at Finite Strains
title_sort A Generalised Time-Dependent Mathematical Formulation for Magnetoelectrically Coupled Soft Solids at Finite Strains
author_id_str_mv 140f4aa5c5ec18ec173c8542a7fddafd
author_id_fullname_str_mv 140f4aa5c5ec18ec173c8542a7fddafd_***_Mokarram Hossain
author Mokarram Hossain
author2 Mohd Halim Bin Mohd Shariff
Roger Bustamante
Mokarram Hossain
format Journal article
container_title Symmetry
container_volume 15
container_issue 3
container_start_page 628
publishDate 2023
institution Swansea University
issn 2073-8994
doi_str_mv 10.3390/sym15030628
publisher MDPI AG
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
url http://dx.doi.org/10.3390/sym15030628
document_store_str 1
active_str 0
description 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.
published_date 2023-03-02T08:05:14Z
_version_ 1829541893742002176
score 11.058203

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