Generalized thermoelastic rotating medium with voids and gravitational field : a comparison of differen theories

الملخص EN

The purpose of this work is to study the rotation of thermo-elastic material with voids under the effect of gravity.

The entire porous medium is rotating with a uniform angular velocity.

The formulation is applied under three theories of generalized thermoelasticity: Lord-Schulman with one relaxation time, Green-Lindsay with two relaxation times, as well as the coupled theory.

The applied methodology in the problem is the normal mode analysis method for solving the thermal shock problem to obtain the exact expressions for the displacement components, the stresses, the temperature distribution, and the change in the volume fraction field which have been depicted graphically by the comparison between different theories (CD, L-S, G-L) in the presence and the absence of the rotation and the gravity influence due to the porous thermoelastic materials