(8)The influence of Thomson effect and inclined loads in an electro-magneto-thermoelastic solid with voids under green–Naghdi theories

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Elsayed M. Abd-Elaziz^∗, Mohamed I.M. Hilal

Department of Mathematics, Zagazig University, Faculty of Science, P.O. Box 44519, Zagazig, Egypt 

Received 25 June 2018; received in revised form 6 August 2018; accepted 14 August 2018 

Available online 20 August 2018 

Abstract

    The present investigation deals with the 2-dimensional deformation in a homogeneous thermoelastic solid with voids subjected to inclined loads. The heat conduction equation is affected with the Thomson coefficient. The basic governing equations are modified by using Green–Naghdi theory of type-III. The normal mode analysis technique is used to obtain the components of stress, strain, temperature, induced magnetic field and change in volume fraction field. The variations of these quantities have been depicted graphically in the Green–Naghdi theories of type-II and III for an insulated boundary. From numerical calculations, the effect of Thomson parameter and angle of inclination on a homogeneous, isotropic, electro-magneto-thermoelastic material with voids is revealed and discussed. 

© 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: Electro-magneto-thermoelasticity; Normal mode method; Inclined loads; Voids; Thomson effect; Green-Naghdi theory.