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A novel spectral formulation for transversely isotropic magneto-elasticity / M.H.B.M. Shariff, Roger Bustamante, Mokarram Hossain, Paul Steinmann

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

Swansea University Author: Mokarram Hossain

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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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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.
Keywords: Magneto-elasticity, magneto-mechanical coupled problem, nonlinear elasticity, spectral invariants
College: College of Engineering
Issue: 5
Start Page: 1158
End Page: 1176