On plane strain problems in magneto-thermo-visco-elasticity

Summary Plane strain problems on magneto-thermo-visco-elastic interactions in a parallel union of the Kelvin and Maxwell bodies are investigated using the basic equations of electrodynamics and thermo-visco-elasticity. Assuming that the applied magnetic field is transverse to the plane of deformation and that the material is a perfect conductor of electricity, it is seen that the heat sources and the potential part of the body forces produce longitudinal waves only and the rotational part of the body forces gives rise to transverse waves only. The effect of deformation on magnetic permeability is equivalent to an anisotropic rescaling of the primary magnetic field. The effect of the applied magnetic field on waves produced by a plane heat source is equivalent to increasing the value of the material constants which results in an increase in the speed of the waves.