Abstract
A general model of the equations of coupled theory (CD), Lord-Shulman (LS) theory with one relaxation time and Green-Lindsay theory GL with two relaxation times are applied to study the influence reinforcement on the total deformation of rotating thermoelastic half-space and the interaction with each other under the influence of gravity subjected to a thermal shock, it considered in two-dimensional space. The material is homogeneous isotropic elastic half space. The normal mode analysis and the eigenvalue approach techniques are used to solve the resulting non-dimensional coupled field equations for the three theories to obtain the exact expressions for the displacement components, force stresses and temperature. Some particular cases are also discussed in the context of the problem. Numerical results for the temperature, displacements and thermal stresses distribution are presented graphically and discussed. Some comparisons are made with the results obtained in the presence and absence of the rotation and the gravity field effect under three theories. The results presented in this paper should prove useful for researchers in material science, designers of new materials. Study of the phenomenon of relaxation time and gravity is also used to improve the conditions of oil extractions.