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A novel spectral formulation for transversely isotropic magneto-elasticity

M.H.B.M. Shariff, Roger Bustamante, Mokarram Hossain Orcid Logo, Paul Steinmann

Mathematics and Mechanics of Solids, Volume: 22, Issue: 5, Pages: 1158 - 1176

Swansea University Author: Mokarram Hossain Orcid Logo

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Abstract

Classical invariants, despite most of them having unclear physical interpretation and not having experimental advantages, have been extensively used in modeling nonlinear magneto-elastic materials. In this paper, a new set of spectral invariants, which have some advantages over classical invariants,...

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Published in: Mathematics and Mechanics of Solids
ISSN: 1081-2865 1741-3028
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa38891
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spelling 2018-02-27T15:35:53.4667848 v2 38891 2018-02-27 A novel spectral formulation for transversely isotropic magneto-elasticity 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2018-02-27 GENG Classical invariants, despite most of them having unclear physical interpretation and not having experimental advantages, have been extensively used in modeling nonlinear magneto-elastic materials. In this paper, a new set of spectral invariants, which have some advantages over classical invariants, is proposed to model the behavior of transversely isotropic nonlinear magneto-elastic bodies. The novel spectral invariant formulation, which is shown to be more general, is used to analytically solve some simple magneto-mechanical boundary value problems. With the aid of the proposed spectral invariants it is possible to study, in a much simpler manner, the effect of different types of deformations on the response of the magneto-elastic material. Journal Article Mathematics and Mechanics of Solids 22 5 1158 1176 1081-2865 1741-3028 Magneto-elasticity, magneto-mechanical coupled problem, nonlinear elasticity, spectral invariants 1 5 2017 2017-05-01 10.1177/1081286515618999 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University 2018-02-27T15:35:53.4667848 2018-02-27T15:33:35.6999187 College of Engineering Engineering M.H.B.M. Shariff 1 Roger Bustamante 2 Mokarram Hossain 0000-0002-4616-1104 3 Paul Steinmann 4
title A novel spectral formulation for transversely isotropic magneto-elasticity
spellingShingle A novel spectral formulation for transversely isotropic magneto-elasticity
Mokarram Hossain
title_short A novel spectral formulation for transversely isotropic magneto-elasticity
title_full A novel spectral formulation for transversely isotropic magneto-elasticity
title_fullStr A novel spectral formulation for transversely isotropic magneto-elasticity
title_full_unstemmed A novel spectral formulation for transversely isotropic magneto-elasticity
title_sort A novel spectral formulation for transversely isotropic magneto-elasticity
author_id_str_mv 140f4aa5c5ec18ec173c8542a7fddafd
author_id_fullname_str_mv 140f4aa5c5ec18ec173c8542a7fddafd_***_Mokarram Hossain
author Mokarram Hossain
author2 M.H.B.M. Shariff
Roger Bustamante
Mokarram Hossain
Paul Steinmann
format Journal article
container_title Mathematics and Mechanics of Solids
container_volume 22
container_issue 5
container_start_page 1158
publishDate 2017
institution Swansea University
issn 1081-2865
1741-3028
doi_str_mv 10.1177/1081286515618999
college_str College of Engineering
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hierarchy_top_id collegeofengineering
hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
document_store_str 0
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description Classical invariants, despite most of them having unclear physical interpretation and not having experimental advantages, have been extensively used in modeling nonlinear magneto-elastic materials. In this paper, a new set of spectral invariants, which have some advantages over classical invariants, is proposed to model the behavior of transversely isotropic nonlinear magneto-elastic bodies. The novel spectral invariant formulation, which is shown to be more general, is used to analytically solve some simple magneto-mechanical boundary value problems. With the aid of the proposed spectral invariants it is possible to study, in a much simpler manner, the effect of different types of deformations on the response of the magneto-elastic material.
published_date 2017-05-01T03:52:51Z
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