Structural Engineering and Mechanics

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Effect of viscosity and rotation on a generalized two-temperature thermoelasticity under five theories

  • Alharbi, Aamnah M. (Department of Mathematics, College of Science, Taif Univeristy) ;
  • Othman, Mohamed I.A. (Department of Mathematics, Faculty of Science, Zagazig University) ;
  • Atef, Haitham M. (Faculty of Science, Department of Mathematics, Damanhur University)
  • Received : 2020.06.03
  • Accepted : 2021.04.12
  • Published : 2021.06.25
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Abstract

In the current paper, an equational model for generalized thermo-visco-elasticity is set up for such an elastic medium that indicates isotropicity along with two temperatures. The angular velocity for rotating this medium is maintained uniformly. Several generalized thermoelasticity theories have been employed to fulfill the detailing purposes which include; Lord-Shulman (L-S) and Green-Lindsay (G-L) theories with one and two relaxation times respectively, coupled theory, Tzou theory consisting of dual-phase lags (DPL), and lastly Green-Naghdi (G-N II) theory in the absence of energy dissipation. The application of Normal mode examination leads to the attainment of specific articulations for the thought about factors. Some specific cases are additionally talked about with regards to the complexity. Also, Numerical as well as the graphical representation of the factors under consideration has been presented. Examinations are carried out by keeping outcome predictions in mind as anticipated by various theories (L-S, G-N II, G-L, and DPL), rotation, viscosity, and two temperatures.

Keywords

Acknowledgement

The authors thank Taif University Researchers Supporting Project Number (TURSP-2020/230), Taif University, Taif, Saudi Arabia.

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