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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 inclined load on micropolar theroelastic medium possessing cubic symmetry with energy dissipation

Othman M. I. A., Abo-Dahab S. M., Alosaimi H. A.

Mechanics and Mechanical Engineering

2017

Vol. 21, nr 4

783--796

The problem of the micropolar thermoelastic medium with (G-N) theory of types II (without energy dissipation) and type III (with energy dissipation) under the effect of the inclined load 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 different values of the angle of inclination.

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.

Some considerations of fundamental solution in micropolar thermoelastic materials with double porosity

Kumar R., Vohra R., Gorla M. G.

Archives of Mechanics

2016

Vol. 68, nr 4

263--284

This paper is concerned with micropolar thermoelastic materials which have a double porosity structure. The system of the equations of the assumed model is based on the equations of motion, equilibrated stress equations of motion and heat conduction equation for material with double porosity. The explicit expressions for the fundamental solution of the system of equations in the case of steady vibrations are presented. The desired solutions are obtained by the use of elementary functions. Some basic properties are also established.