**Dr. Ray Ogden**

**Department of Mathematics**

**University**** of ****Glasgow**

**“Nonlinear Magnetoelasticity of Magneto-sensitive Solids”**

This talk is motivated by recently developed interest in so-called smart materials whose mechanical behavior changes dramatically on the application of magnetic fields. Examples of applications include devices

that are used to control the damping characteristics of vibration absorbers. In particular, we are concerned here with elastomers that contain a distribution of ferrous particles embedded within their bulk so that

they respond to the application of magnetic fields by changing significantly their stress-strain behavior. Recent theoretical work concerning the coupling of mechanical and magnetic effects in these materials is

outlined, and the theory is applied to some simple prototype boundary-value problems of practical interest. A notable feature of the results is that, for particular combinations of deformation and magnetic field,

restrictions are placed on the admissible class of constitutive laws and that these restrictions depend on whether the magnetic field vector or the magnetic induction vector is used as the independent magnetic

variable.