(3)The effect of gravity and inclined load in micropolar thermoelastic medium possessing cubic symmetry under G-N theory

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Mohamed I.A. Othman ^a,∗, S.M. Abo-Dahab ^b,c  Haneen A. Alosaimi ^b

^a Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt 

^b Department of Mathematics, Faculty of Science, Taif University, Taif 888, Saudi Arabia 

^c Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt 

Received 21 May 2018; received in revised form 19 October 2018; accepted 20 October 2018 

Available online 25 October 2018 

Abstract

    The problem of the micropolar thermoelastic medium under (G-N) theory of both types II, III under the effect of the gravity was investigated. The normal mode analysis is used to obtain the solution of the physical quantities. Comparisons are made between the results predicted by the (G-N) theory of type II and type III in the presence and absence of gravity and for different values of the angle of inclination. © 2018 Shanghai Jiaotong University. Published by Elsevier B.V. 

This is an open access article under the CC BY-NC-ND license. (http://creativecommons.org/licenses/by-nc-nd/4.0/)  

Keywords: Micropolar thermoelasticity; Green-Naghdi theory; Normal mode method; Gravity; Inclined load.