Thermoelastic Interactions in a Microstretch Saturated Porous Medium with Temperature Dependent Properties

The current research examines the thermoelastic interactions in a homogeneous isotropic microstretch saturated porous solid with temperature dependent properties, caused by a mechanical load acting on the surface of the medium. The problem is treated based on Green-Naghdi theory of thermoelasticity without energy dissipation.

Normal mode technique is applied to derive the exact expressions for different field variables such as displacement components, stresses, temperature, pore pressure and microstress tensor. Numerical computations have been performed with the help of MATLAB software, to depict the response of applied mechanical source in the medium for isothermal boundary.

The effects of time, microstretch parameter, porosity and temperature dependent properties on the field variables are depicted graphically. The numerical results are found to be in close agreement with the theoretical ones. Some special cases of interest have also been presented. Although, studies in the context of generalized microstretch thermoelasticity do exist, little work with respect to temperature dependent properties in microstretch saturated poro-thermoelastic medium can be found in the open domain. Consequently, the systematic framework of microstretch thermoelasticity with poroelastic structure is at present incomplete. The motivation behind this investigation is to address these deficiencies and that the results obtained are advantageous to researchers involved in engineering, material science, geophysics and rock mechanics.