Rotation and gravitational field on a poroelastic medium under the generalized thermoelasticity theory with two-temperature

Abstract

The poro-thermoelastic problem with two-temperature, under the influence of the gravitational field and the rotation was investigated. The solution to the problem is presented in the context of lord and Shulman's theory of thermoelasticity with one relaxation time. We applied normal mode analysis to solve the resulting non-dimensional coupled partial differential equations. Effect of rotation, gravitational field, two-temperature parameter and porosity parameter on non-dimensional displacements, thermodynamic temperature, conductive temperature, excess pore water pressure and stresses has been discussed. Numerical analyses are given graphically in the square (2D) to illustrate the effect of these parameters. Some particular cases of interest are deduced from the present investigation.

KEYWORDS:

• Two-temperature theory
• poro-thermoelasticity
• gravitational field
• rotation
• normal mode

Disclosure statement

No potential conflict of interest was reported by the author(s).