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Othman M.I.A.,Zagazig University | Othman M.I.A.,Shaqra University | Atwa S.Y.,Zagazig University | Atwa S.Y.,Shorouk Academy | Atwa S.Y.,Shaqra University
Meccanica | Year: 2012

In this paper, we constructed the equations of generalized thermoelastic isotropic and homogeneous half-space under hydrostatic initial stress in the context of the Green and Naghdi (GN) theory of types II and III. Normal mode analysis is used to obtain the exact expressions of temperature, displacement and stress. Comparisons are made with the results predicted by GN theory of types II and III in the presence and absence of the hydrostatic initial stress. The temperature, displacement and stress distributions are represented graphically. © Springer Science+Business Media B.V. 2011. Source


Othman M.I.A.,Zagazig University | Atwa S.Y.,Zagazig University | Atwa S.Y.,Shorouk Academy | Atwa S.Y.,Shaqra University
Meccanica | Year: 2013

A general model of the equations of the generalized thermoelasticity for an infinite space weakened by a finite linear opening Mode-I crack is solved. The crack is subjected to prescribed temperature and stress distribution in the context of Green-Naghdi theory. The normal mode analysis is used to obtain the exact expressions for the displacement components, the force stresses, the temperature and the couple stresses. Comparisons are made with the results predicted in the both type II, III of Green-Naghdi theory. It is found that a Mode-I crack has great effects on the distribution of field quantities with energy dissipation. © 2012 Springer Science+Business Media Dordrecht. Source


Othman M.I.A.,Zagazig University | Othman M.I.A.,Taif University | Atwa S.Y.,Shorouk Academy
Journal of Computational and Theoretical Nanoscience | Year: 2015

A general model of the equation of Green-Naghdi theory with type II and III is applied to study the influence of rotation on the total deformation for an infinite space weakened by a finite linear opening thermal shock. The material is anisotropic thermoelastic half-space. The problem has been solved analytically by using a normal mode method. The variations of the considered variables with the horizontal distance are illustrated graphically. Comparisons are made with the results predicted by the both types II and III of Green-Naghdi theory in the presence and absence of the rotation. Copyright © 2015 American Scientific Publishers. Source


Othman M.I.A.,Zagazig University | Atwa S.Y.,Shorouk Academy | Atwa S.Y.,Shaqra University | Jahangir A.,COMSATS Institute of Information Technology | Khan A.,COMSATS Institute of Information Technology
Multidiscipline Modeling in Materials and Structures | Year: 2013

Purpose - The purpose of this paper is to study the effect of gravity on the general model of the equations of generalized magneto-thermo-microstretch for a homogeneous isotropic elastic half-space solid whose surface is subjected to a mode-I crack. The problem is in the context of the Green and Naghdi theory of both types (II and III). Design/methodology/approach - The normal mode analysis is used to obtain the expressions for the displacement components, the force stresses, the temperature, the couple stress and the microstress distribution. Findings - The variations in variables against distance components are given graphically in 2D and 3D. Practical implications - The linear theory of elasticity is of paramount importance in the stress analysis of steel, which is the commonest engineering structural material. To a lesser extent, the linear elasticity describes the mechanical behavior of the other common solid materials, e.g. concrete, wood and coal. However, the theory does not apply to the behavior of many of the newly synthetic materials of the elastomer and polymer type, e.g. polymethyl-methacrylate (Perspex), polyethylene and polyvinyl chloride. Originality/value - Comparisons are made with the results in the presence and absence of gravity and initially applied magnetic field with two cases: the first for the generalized micropolar thermoelasticity elastic medium (without stretch constants) between both types (II, III); and the second for the generalized magneto-thermoelastic medium with stretch (without micropolar constants) between both types (II, III). q Emerald Group Publishing Limited. Source


Othman M.I.A.,Zagazig University | Atwa S.Y.,Shorouk Academy | Atwa S.Y.,University of South Africa
International Journal of Thermophysics | Year: 2012

The propagation of plane waves in a fiber-reinforced, anisotropic thermoelastic half-space proposed by Green and Naghdi theory under the effect of magnetic field is discussed. The problem has been solved analytically using normal mode analysis to obtain the exact solution of the temperature, the displacement components, and the thermal stress. Numerical results for the temperature distribution, the displacement components, and the thermal stress are given and illustrated graphically. Comparisons are made with the results predicted by types II and III in the presence and in the absence of the effect of a magnetic field and fiber reinforcement. It is found that the reinforcement and magnetic field have great effects on the distribution of the field quantities. © Springer Science+Business Media, LLC 2012. Source

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