Modeling the viscosity and rotation on a generalized micropolar thermoelasticity with two-temperature under five theories

ABSTRACT

The current study establishes the generalized micropolar thermo-visco-elasticity model in an isotropic elastic material with two temperatures. At a uniform angular velocity, the entire elastic medium is rotated. The description is implemented under five generalized thermoelasticity theories: Lord-Shulman (L-S) with one relaxation time, Green-Lindsay (G-L) with two relaxation times, Green-Naghdi theory (G-N II) without energy dissipation, and Tzou theory with dual phase lags (DPL), much like the coupled theory. We used the normal mode analysis to obtain the specific articulations for the considering factors. Additionally, some specific cases are discussed with regard to the problem. Numerical findings are collected and displayed graphically for the variables under consideration. Different theories (L-S, G-L, G-N II, and DPL), rotation, viscosity, and two temperatures were used to predict the results.

KEYWORDS:

• Viscosity
• micropolar thermoelasticity
• five theories
• rotation
• two- temperatures
• normal mode analysis

Disclosure statement

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

Additional information

Funding

The authors extend their appreciation to Princess Nourah Bint Abdulrahman University for funding this research under researchers supporting project number PNURSP2023R154, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi Arabia.