Shariff, M.H.B.M., Bustamante, R., Hossain, M. and Steinmann, P. (2017) A novel spectral formulation for transversely isotropic magneto-elasticity. Mathematics and Mechanics of Solids, 22(5), pp. 1158-1176. (doi: 10.1177/1081286515618999)
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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: | Articles |
|---|---|
| Additional Information: | The third and fourth authors acknowledge the funding by an ERC advanced grant within the project MOCOPOLY. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Steinmann, Professor Paul |
| Authors: | Shariff, M.H.B.M., Bustamante, R., Hossain, M., and Steinmann, P. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | Mathematics and Mechanics of Solids |
| Publisher: | SAGE |
| ISSN: | 1081-2865 |
| ISSN (Online): | 1741-3028 |
| Published Online: | 29 December 2015 |
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