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Hamdy M Youssef - One of the best experts on this subject based on the ideXlab platform.

  • thermoelastic material response due to laser pulse heating in context of four theorems of thermoelasticity
    2014
    Co-Authors: Hamdy M Youssef, A A Elbary
    Abstract:

    This article describes the study of induced temperature and stress fields in an elastic half-space in the context of classical coupled thermoelasticity (Biot) and generalized thermoelasticity (Lord–Shulman, Green–Lindsay and Green–Naghdi) in a unified system of equations. The medium is considered to be made of an isotropic homogeneous thermoelastic half-space. The Bounding Plane of the surface is heated by a non-Gaussian laser beam with pulse duration of 2 ps. An exact solution of the problem is first obtained in Laplace transform space. Because the response is of more interest in the transient state, the inversion of Laplace transforms were carried out numerically. The derived expressions were computed numerically for copper, and the results are presented in graphical form.

  • finite element analysis of two temperature generalized magneto thermoelasticity
    2009
    Co-Authors: Ibrahim A Abbas, Hamdy M Youssef
    Abstract:

    A general finite element model is proposed to analyze transient phenomena in thermoelastic solids. Youssef model of two-temperature generalized magneto-thermoelasticity is selected for an homogenous, isotropic, conducting and elastic medium, which is subjected to thermal shock, and a magnetic field with constant intensity acts tangent to the Bounding Plane. The numerical solution of the nondimensional governing partial differential equations of the problem has been shown graphically.

  • state space approach of two temperature generalized thermoelasticity of infinite body with a spherical cavity subjected to different types of thermal loading
    2007
    Co-Authors: Hamdy M Youssef, Amnah H Alharby
    Abstract:

    In this work, we will consider an infinite elastic body with a spherical cavity and constant elastic parameters. The governing equations are taken in the context of the two-temperature generalized thermoelasticity theory (Youssef in J Appl Math Mech 26(4):470–475 2005a, IMA J Appl Math, pp 1–8, 2005). 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 when the Bounding Plane of the cavity is subjected to thermal loading (thermal shock and ramp-type heating). 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 and the ramping parameters.

Hany H Sherief - One of the best experts on this subject based on the ideXlab platform.

  • a thick plate problem in the theory of generalized thermoelastic diffusion
    2009
    Co-Authors: Hany H Sherief, Nasser M Elmaghraby
    Abstract:

    In this work, the problem of a thermoelastic thick plate with a permeating substance in contact with one of the Bounding Planes is considered in the context of the theory of generalized thermoelastic diffusion with one relaxation time. The Bounding surface of the half-space is taken to be traction free and is subjected to a time-dependent thermal shock. The chemical potential is also assumed to be a known function of time on the Bounding Plane. Laplace transform techniques are used. The solution is obtained in the Laplace transform domain by using a direct approach. The solution of the problem in the physical domain is obtained numerically using a numerical method for the inversion of the Laplace transform based on Fourier expansion techniques. The temperature, displacement, stress, and concentration as well as the chemical potential are obtained. Numerical computations are carried out and represented graphically.

  • a half space problem in the theory of generalized thermoelastic diffusion
    2005
    Co-Authors: Hany H Sherief, Heba A Saleh
    Abstract:

    Abstract In this work we consider the problem of a thermoelastic half-space with a permeating substance in contact with the Bounding Plane in the context of the theory of generalized thermoelastic diffusion with one relaxation time. The Bounding surface of the half-space is taken to be traction free and subjected to a time dependent thermal shock. The chemical potential is also assumed to be a known function of time on the Bounding Plane. Laplace transform techniques are used. The solution is obtained in the Laplace transform domain by using a direct approach. The solution of the problem in the physical domain is obtained numerically using a numerical method for the inversion of the Laplace transform based on Fourier expansion techniques. The temperature, displacement, stress and concentration as well as the chemical potential are obtained. Numerical computations are carried out and represented graphically.

  • a thermal shock problem in magneto thermoelasticity with thermal relaxation
    1996
    Co-Authors: Hany H Sherief, Magdy A Ezzat
    Abstract:

    Abstract The one-dimensional problem of distribution of thermal stresses and temperature is considered in a generalized thermoelastic electrically conducting half-space permeated by a primary uniform magnetic field when the Bounding Plane is suddenly heated to a constant temperature. The Laplace transform technique is used to solve the problem. Inverse transforms are obtained in an approximate manner using asymptotic expansions valid for small values of time. Nurnerical computations for two particular cases are carried out.

Heba A Saleh - One of the best experts on this subject based on the ideXlab platform.

  • a half space problem in the theory of generalized thermoelastic diffusion
    2005
    Co-Authors: Hany H Sherief, Heba A Saleh
    Abstract:

    Abstract In this work we consider the problem of a thermoelastic half-space with a permeating substance in contact with the Bounding Plane in the context of the theory of generalized thermoelastic diffusion with one relaxation time. The Bounding surface of the half-space is taken to be traction free and subjected to a time dependent thermal shock. The chemical potential is also assumed to be a known function of time on the Bounding Plane. Laplace transform techniques are used. The solution is obtained in the Laplace transform domain by using a direct approach. The solution of the problem in the physical domain is obtained numerically using a numerical method for the inversion of the Laplace transform based on Fourier expansion techniques. The temperature, displacement, stress and concentration as well as the chemical potential are obtained. Numerical computations are carried out and represented graphically.

  • problem in generalized thermoelasticity for a half space under the action of a body force
    2005
    Co-Authors: Heba A Saleh
    Abstract:

    ABSTRACT In this work, we consider a one-dimensional problem of distribution of thermal stresses and temperature in a generalized thermoelastic half-space subjected to sudden heating with constant temperature on the Bounding Plane under the action of a body force. The Laplace transform technique is used to solve the problem. The inverse transforms are obtained in an approximate manner using asymptotic expansions valid for short times. The temperature, displacement, and stress are obtained and represented graphically.

Magdy A Ezzat - One of the best experts on this subject based on the ideXlab platform.

  • a thermal shock problem in magneto thermoelasticity with thermal relaxation
    1996
    Co-Authors: Hany H Sherief, Magdy A Ezzat
    Abstract:

    Abstract The one-dimensional problem of distribution of thermal stresses and temperature is considered in a generalized thermoelastic electrically conducting half-space permeated by a primary uniform magnetic field when the Bounding Plane is suddenly heated to a constant temperature. The Laplace transform technique is used to solve the problem. Inverse transforms are obtained in an approximate manner using asymptotic expansions valid for small values of time. Nurnerical computations for two particular cases are carried out.

Nasser M Elmaghraby - One of the best experts on this subject based on the ideXlab platform.

  • a thick plate problem in the theory of generalized thermoelastic diffusion
    2009
    Co-Authors: Hany H Sherief, Nasser M Elmaghraby
    Abstract:

    In this work, the problem of a thermoelastic thick plate with a permeating substance in contact with one of the Bounding Planes is considered in the context of the theory of generalized thermoelastic diffusion with one relaxation time. The Bounding surface of the half-space is taken to be traction free and is subjected to a time-dependent thermal shock. The chemical potential is also assumed to be a known function of time on the Bounding Plane. Laplace transform techniques are used. The solution is obtained in the Laplace transform domain by using a direct approach. The solution of the problem in the physical domain is obtained numerically using a numerical method for the inversion of the Laplace transform based on Fourier expansion techniques. The temperature, displacement, stress, and concentration as well as the chemical potential are obtained. Numerical computations are carried out and represented graphically.

  • a two dimensional generalized thermoelasticity problem for a half space under the action of a body force
    2008
    Co-Authors: Nasser M Elmaghraby
    Abstract:

    In this work, we consider a two-dimensional problem of distribution of thermal stresses and temperature in a generalized thermoelastic half-space under the action of a body force and subjected to a thermal shock on the Bounding Plane. Laplace and exponential Fourier transform techniques are used. The solution in the transformed domain is obtained by a direct approach. The inverse double transform is evaluated numerically. Numerical results are obtained and represented graphically.