TY - JOUR
T1 - A novel spectral formulation for transversely isotropic magneto-elasticity
AU - Shariff, M. H. B. M.
AU - Bustamante, Roger
AU - Hossain, Mokarram
AU - Steinmann, Paul
PY - 2017/5/1
Y1 - 2017/5/1
N2 - 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.
AB - 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.
KW - Magneto-elasticity
KW - magneto-mechanical coupled problem
KW - nonlinear elasticity
KW - spectral invariants
U2 - 10.1177/1081286515618999
DO - 10.1177/1081286515618999
M3 - Article
VL - 22
SP - 1158
EP - 1176
JO - Mathematics and Mechanics of Solids
JF - Mathematics and Mechanics of Solids
SN - 1081-2865
IS - 5
ER -