A novel spectral formulation for transversely isotropic magneto-elasticity

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

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)1158-1176
JournalMathematics and Mechanics of Solids
Volume22
Issue number5
Early online date29 Dec 2015
DOIs
Publication statusPublished - 1 May 2017

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