期刊
MATHEMATICS AND MECHANICS OF SOLIDS
卷 22, 期 5, 页码 1158-1176出版社
SAGE PUBLICATIONS LTD
DOI: 10.1177/1081286515618999
关键词
Magneto-elasticity; magneto-mechanical coupled problem; nonlinear elasticity; spectral invariants
资金
- ERC advanced grant within the project MOCOPOLY
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.
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