A magneto – thermo-elastic problem for a half-space without energy dissipation subjected to rotation and gravity field

Abstract

The prime objective of the present paper is to analyze the effects of the rotation, magnetic field and gravity in a thermo-elastic half-space containing heat source on the boundary of the half-space. The medium assumed under consideration is traction free, homogeneous, isotropic, as well as without energy dissipation. The normal mode analysis and eigenvalue approach technique are used to solve the resulting non-dimensional coupled equations. The comparisons for the physical quantities are established numerically and represented graphically in different cases with respect to the used effects. A comparative and remarkable study has been carried out through various graphs to deliberate the consequences of different parameter on the displacement components, stress components and temperature. Keywords: Green–Naghdi theory, Thermo-elasticity, Energy dissipation, Rotation, Magnetic field, Gravity field