Journal article 783 views
A novel spectral formulation for transversely isotropic magneto-elasticity
,
Paul Steinmann
Mathematics and Mechanics of Solids, Volume: 22, Issue: 5, Pages: 1158 - 1176
Swansea University Author:
Mokarram Hossain
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DOI (Published version): 10.1177/1081286515618999
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,...
| Published in: | Mathematics and Mechanics of Solids |
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| ISSN: | 1081-2865 1741-3028 |
| Published: |
2017
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa38891 |
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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, 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. |
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| Keywords: |
Magneto-elasticity, magneto-mechanical coupled problem, nonlinear elasticity, spectral invariants |
| College: |
Faculty of Science and Engineering |
| Issue: |
5 |
| Start Page: |
1158 |
| End Page: |
1176 |