Effect of gravity on a micropolar thermoelastic medium with voids under three-phase-lag model

Amnah M. Alharbi , Mohamed I.A. Othman , Al-Anoud M. Kh. Al-Autabi

Abstract

This paper’s objective is to investigate the effect of gravity on a micropolar thermoelastic medium with voids. The problem is assessed according to the three-phase-lag model. An analysis of the resulting non-dimensional displacement, temperature variation, and internal stress of the study material is carried out and presented graphically. 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 different theories for different values of gravity, the phase-lag of the heat flux and the phase-lag of the temperature gradient. The numerical results reveal that gravity and relaxation times have a significant influence on the distribution of the field quantities. Some notable insights of interest are deduced from the investigation.

Key Words

thermoelasticity; micropolar; voids. Green-Naghdi theory; gravity; three-phase-lag

Address

Amnah M. Alharbi and Al-Anoud M. Kh. Al-Autabi — Department of Mathematics, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Taif, Saudi Arabia
Mohamed I.A. Othman — Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

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