The Experts below are selected from a list of 463143 Experts worldwide ranked by ideXlab platform
Hamdy M Youssef - One of the best experts on this subject based on the ideXlab platform.
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two temperature theory in three Dimensional Problem for thermoelastic half space subjected to ramp type heating
Mechanics of Advanced Materials and Structures, 2014Co-Authors: Magdy A Ezzat, Hamdy M YoussefAbstract:A three-Dimensional model of the two-temperature generalized thermoelasticity with one relaxation time is established. The resulting non-Dimensional coupled equations together with the Laplace and duple Fourier transforms techniques are applied to a specific Problem of a half space subjected to ramp-type heating and traction free surface. The inverses of Fourier transforms and Laplace transforms are obtained numerically by using the complex inversion formula of the transform together with Fourier expansion techniques. Numerical results for the conductive temperature, the dynamical temperature, the stress, the strain, and the displacement distributions are represented graphically.
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two Dimensional Problem of a two temperature generalized thermoelastic half space subjected to ramp type heating
Computational Mathematics and Modeling, 2008Co-Authors: Hamdy M YoussefAbstract:In this work, we will consider a half-space filled with an elastic material, which has constant elastic parameters. The governing equations are taken in the context of the theory of two-temperature generalized thermoelasticity. A linear temperature ramping function is used to more realistically model thermal loading of the half-space surface. The medium is assumed initially quiescent. Laplace and Fourier transform techniques are used to obtain the general solution for any set of boundary conditions. The general solution obtained is applied to a specific Problem of a half-space subjected to ramp-type heating. The inverse Fourier transforms are obtained analytically while the inverse Laplace transforms are computed numerically using a method based on Fourier expansion techniques. Some comparisons have been shown in figures to estimate the effect of the ramping parameter of heating.
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state space approach of two temperature generalized thermoelasticity of one Dimensional Problem
International Journal of Solids and Structures, 2007Co-Authors: Hamdy M Youssef, Eman A N AllehaibiAbstract:Abstract In this paper, we will consider a half-space filled with an elastic material, which has constant elastic parameters. The governing equations are taken in the context of the two-temperature generalized thermoelasticity theory [Youssef, H., 2005a. The dependence of the modulus of elasticity and the thermal conductivity on the reference temperature in generalized thermoelasticity for an infinite material with a spherical cavity, J. Appl. Math. Mech., 26(4), 4827; Youssef, H., 2005b. Theory of two-temperature generalized thermoelasticity, IMA J. Appl. Math., 1–8]. The medium is assumed initially quiescent. Laplace transform and state space techniques are used to obtain the general solution for any set of boundary conditions. The general solution obtained is applied to a specific Problem of a half-space subjected to thermal shock and traction free. The inverse Laplace transforms are computed numerically using a method based on Fourier expansion techniques. Some comparisons have been shown in figures to estimate the effect of the two-temperature parameter.
Eman A N Allehaibi - One of the best experts on this subject based on the ideXlab platform.
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state space approach of two temperature generalized thermoelasticity of one Dimensional Problem
International Journal of Solids and Structures, 2007Co-Authors: Hamdy M Youssef, Eman A N AllehaibiAbstract:Abstract In this paper, we will consider a half-space filled with an elastic material, which has constant elastic parameters. The governing equations are taken in the context of the two-temperature generalized thermoelasticity theory [Youssef, H., 2005a. The dependence of the modulus of elasticity and the thermal conductivity on the reference temperature in generalized thermoelasticity for an infinite material with a spherical cavity, J. Appl. Math. Mech., 26(4), 4827; Youssef, H., 2005b. Theory of two-temperature generalized thermoelasticity, IMA J. Appl. Math., 1–8]. The medium is assumed initially quiescent. Laplace transform and state space techniques are used to obtain the general solution for any set of boundary conditions. The general solution obtained is applied to a specific Problem of a half-space subjected to thermal shock and traction free. The inverse Laplace transforms are computed numerically using a method based on Fourier expansion techniques. Some comparisons have been shown in figures to estimate the effect of the two-temperature parameter.
Kamal A Helmy - One of the best experts on this subject based on the ideXlab platform.
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a two Dimensional Problem for a half space in magneto thermoelasticity with thermal relaxation
International Journal of Engineering Science, 2002Co-Authors: Hany H Sherief, Kamal A HelmyAbstract:In this work we study a two-Dimensional Problem in electromagneto-thermoelasticity for a half-space whose surface is subjected to a non-uniform thermal shock and is stress free in the presence of a transverse magnetic field. The Problem is in the context of the theory of generalized thermoelasticity with one relaxation time. Laplace and exponential Fourier transform techniques are used to obtain the solution by a direct approach. The solution of the Problem in the physical domain is obtained by using a numerical method for the inversion of the Laplace transforms based on Fourier series expansions. The distributions of the temperature, the displacement, the stress and the induced magnetic and electric fields are obtained. The numerical values of these functions are represented graphically.
A. Bajkowski - One of the best experts on this subject based on the ideXlab platform.
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analytical and numerical methods of solution of three Dimensional Problem of elasticity for functionally graded coated half space
International Journal of Mechanical Sciences, 2012Co-Authors: Roman Kulchytskyzhyhailo, A. BajkowskiAbstract:Abstract In the present paper, a three-Dimensional Problem of elasticity for homogeneous half-space with gradient coating is considered. Poisson's ratio of the layer is constant and its Young's modulus is a power function of the distance from the surface of the half-space. The surface of non-homogeneous half-space is under tangential loading applied in circular area. Analytical solution is obtained using Fourier integral transform technique. The analytical solution of the Problem in continuous dependence of the Young modulus is compared with the solution of the Problem in which the inhomogeneous layer is modeled by the package of homogeneous layers. In sub-layers of a package and in substrate is constructed an analytical solution satisfying the conditions of ideal mechanical contact at interlines. Good agreement between results is obtained.
Saeed Dinarvand - One of the best experts on this subject based on the ideXlab platform.
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purely analytic approximate solutions for steady three Dimensional Problem of condensation film on inclined rotating disk by homotopy analysis method
Nonlinear Analysis-real World Applications, 2009Co-Authors: M M Rashidi, Saeed DinarvandAbstract:The similarity transform for the steady three-Dimensional Problem of a condensation film on an inclined rotating disk gives a system of nonlinear ordinary differential equations which are analytically solved by applying a newly developed method namely the homotopy analysis method (HAM). The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the series form. The convergence of the obtained series solutions is carefully analyzed. The velocity and temperature profiles are shown and the influence of the Prandtl number on the heat transfer and the Nusselt number is discussed in detail. The validity of our results is verified by numerical results.
