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Micropolar thermoelastic medium with voids under the effect of rotation concerned with 3PHL model

  • Othman, Mohamed I.A. (Department of Mathematics, Faculty of Science, Zagazig University) ;
  • Alharbi, Amnah M. (Department of Mathematics, Faculty of Science, Taif University) ;
  • Al-Autabi, Al-Anoud M. Kh. (Department of Mathematics, Faculty of Science, Taif University)
  • Received : 2020.03.19
  • Accepted : 2020.04.20
  • Published : 2020.06.10

Abstract

This paper aims to investigate the effect of rotation on a micropolar thermoelastic medium with voids problem. The problem is assessed according to three-phase-lag model. The normal mode analysis used to obtain the analytical expressions of the considered variables. The non-dimensional displacement, temperature, Micro rotation, the change in the volume fraction field, and stress of the material are obtained and illustrated graphically. Comparisons are made with the results predicted by two theories; namely three- phase-lag model (3PHL) and Green-Naghdi theory of type III (G-N III). The considered variables were plotted for different values of the rotation parameter, the phase-lag of heat flux and the phase-lag of temperature. The numerical results reveal that the rotation and the phase-lag times significantly influence the distribution of the field quantities. Some particular cases of interest are deduced from the present investigation.

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