Transient generalised magnetothermoelastic waves in a half-space

Abstract

The distribution of deformation, temperature, and magnetic field in a homogeneous isotropic, thermally and electrically conducting, elastic half-space, in contact with the vacuum, has been investigated by taking (i) a step in stress and (ii) a thermal shock, at the plane boundary, in context of generalised theory of thermoelasticity. The Laplace transform on time has been used to obtain the solutions. Because the “second sound” effects are short-lived, so the small time approximations have been considered. The deformation is found to be continuous at the wavefronts whereas the perturbed magnetic field and the temperature are found to be discontinuous in the case of normal load. In case of thermal shock the displacement is continuous but temperature and magnetic field are discontinuous at the wave fronts.