A novel spectral formulation for transversely isotropic magneto-elasticity

Shariff, M. H. B. M., Bustamante, Roger, Hossain, Mokarram and Steinmann, Paul (2017) A novel spectral formulation for transversely isotropic magneto-elasticity. Mathematics and Mechanics of Solids, 22 (5). pp. 1158-1176. ISSN 1081-2865

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Official URL: https://doi.org/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, 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.

Item Type: Article
Uncontrolled Keywords: Magneto-elasticity, magneto-mechanical coupled problem, nonlinear elasticity, spectral invariants
Subjects: F200 Materials Science
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Ay Okpokam
Date Deposited: 31 May 2017 08:47
Last Modified: 31 May 2017 08:47
URI: http://nrl.northumbria.ac.uk/id/eprint/30908

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