A novel spectral formulation for transversely isotropic magneto-elasticity

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

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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 languageBritish English
Pages (from-to)1158-1176
Number of pages19
JournalMathematics and Mechanics of Solids
Issue number5
StatePublished - 1 May 2017


  • Magneto-elasticity
  • magneto-mechanical coupled problem
  • nonlinear elasticity
  • spectral invariants


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