Constitutive modelling of magneto-sensitive Cauchy-elastic solids

Magneto-sensitive (MS) elastomers are a class of smart materials whose mechanical properties may be rapidly varied by the application of a magnetic field. These materials typically consist of micron-sized ferrous particles dispersed in an elastomeric matrix. The full system of equations for highly deformable MS solids in an electro-magnetic field is considered. The material constitutive relations for isotropic MS Cauchy-elastic solids are presented. To illustrate the correctness of these models the shear deformation of a MS elastomer between two parallel plates under the application of a magnetic field normal to the plates is studied.