RT Journal Article
SR 00
ID 10.1016/j.ijnonlinmec.2004.03.002
A1 Dorfmann, A.
A1 Ogden, R.W.
A1 Saccomandi, G.
T1 Universal relations for non-linear magnetoelastic solids
JF International Journal of Non-Linear Mechanics
YR 2004
FD 2004
VO 39
IS 10
SP 1699
OP 1708
AB In the light of recent and growing interest in the applications of magneto-sensitive elastomers and the corresponding theoretical analysis of their properties, this paper is devoted to the derivation of universal relations for these materials, that is connections between the components of a stress tensor and the components of the magnetic (induction) field vector that hold independently of the choice of constitutive law within a considered class of such laws. Here, attention is focussed on isotropic magnetoelastic materials. In particular, within this framework, it is shown that in general there is only one possible universal relation for these materials, but for particular classes of constitutive laws or for special deformations there can be more than one. The theory is exemplified by application to the problem of homogeneous triaxial deformation combined with a simple shear.
SN 0020-7462
LK https://eprints.gla.ac.uk/59608/
UL http://dx.doi.org/10.1016/j.ijnonlinmec.2004.03.002