Plane waves in electrically conducting and magnetizable viscoelastic isotropic solids subjected to a uniform magnetic field

The propagation of plane electromagneto-mechanical (EM M) waves in homogeneous, initially unstressed and isotropic, electrically conductive magnetoviscoelastic solids in a uniform primary magnetic field is investigated. Depending upon the direction of the applied magnetic field, several modes of the waves arise such as coupled mechanical (M) and electromagnetic (EM) waves. The phase velocities and the attenuations of the waves are obtained both analytically and numerically. Some interesting behavior of the phase velocities and the attenuations are, in particular, detected for certain frequencies, intensity and direction of the primary magnetic field, viscoelastic parameters and conductivity. For example, there are anomalous dispersions of the coupled modes of EM- and M-waves depending upon the intensity of the primary magnetic field, viscoelastic parameters and the conductivity of the material.