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The effect of gravity and diffusion on micropolar thermoelasticity with temperature-dependent elastic medium under G-N theory

Othman M. I. A., Hilal M. I. M., Elmaklizi Y. D.

Mechanics and Mechanical Engineering

2017

Vol. 21, nr 3

657--677

This article studies the effect of the gravity field and the diffusion on micropolar thermoelastic medium with dependence on the temperature properties. The analytic method used to obtain the exact formula of the physical quantities was the normal mode analysis. The comparisons established graphically in the presence and the absence of the gravity, the temperature-dependent properties, the diffusion and the micropolar in the context of two types of Green-Naghdi (G-N) theory II and III.

Effect of initial stress and gravity field on micropolar thermoelastic solid with microtemperatures

Othman M. I. A., Tantawi R. S., Hilal M. I. M.

Journal of Theoretical and Applied Mechanics

2016

Vol. 54 nr 3

847--857

The purpose of the present article is the study of the effect of the gravity field on an initially stressed micropolar thermoelastic medium with microtemperatures. The analytical method used to obtain the formula of the physical quantities is the normal mode analysis. The comparisons are established graphically in the presence and the absence of gravity, initial stress and micropolar thermoelasticity. The main conclusions state that the gravity, initial stress and the micropolar thermoelasticity are effective physical operators on the variation of the physical quantities. The microtemperatures are very useful theory in the field of geophysics and earthquake engineering.