1. A novel spectral formulation for transversely isotropic magneto-elasticity.
- Author
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Shariff, M. H. B. M., Bustamante, Roger, Hossain, Mokarram, and Steinmann, Paul
- Subjects
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MAGNETOSTRICTION , *ISOTROPIC properties , *INVARIANTS (Mathematics) , *BOUNDARY value problems , *DEFORMATIONS (Mechanics) - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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