On an influence of thermal stresses and magnetic field in thermoelastic half-space without energy dissipation

In this article, a two-dimensional problem for a homogeneous, isotropic, and thermoelastic half-space subjected to magnetic field and time-dependent heat source is investigated. The boundary conditions at the surface have been considered in the context of Green-Naghdi's second model (GN-II) of thermoelasticity. The normal mode analysis and eigenvalue approach techniques are used to solve the nondimensional coupled equations. The effect of magnetic field, frequency, wave number, and time is analyzed theoretically and computed numerically. Comparison was made with the results obtained in the presence and absence of the magnetic field. Numerical results for the displacement components, mean value of normal stresses, dilatation, and temperature have been represented graphically to show the physical meaning of the external parameters. The results indicate that the effect of magnetic field, frequency, wave number, and time is very pronounced and effective on the phenomena.