ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

227

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Publications Which contain the keyword: Hollow Cylinder


Generalized thermoelastic interactions in a hollow cylinder with temperature-dependent material properties
In the present work, the generalized thermoelastic interactions in a hollow cylinder with one relaxation time are considered. The modulus of elasticity are taking as function of temperature. Due to the nonlinearity of the governing equations, finite element method is adopted to solve such problem. The exact solution in the case of temperature-independent is discussed explicitly. Numerical results for the ... Read more

Finite element method of thermal shock problem in a non-homogeneous isotropic hollow cylinder with two relaxation times
A solution of thermal shock problem of generalized thermoelasticity of a non-homogeneous isotropic hollow cylinder using finite element method is developed. Lord–Shulman and Green–Lindsay for the generalized thermoelasticity model are selected for that purpose which reduces to the classical model by appropriate choice of the parameters. The problem has been solved numerically using a finite element method (FEM). Numerical results ... Read more

Analytical solutions of thermoelastic interactions in a hollow cylinder with one relaxation time
In this study, we aim to compare the optimal homotopy analysis solution with the exact solution of the thermoelastic interactions problem in an isotropic hollow cylinder. The thermoelastic interactions in a hollow cylinder in the context of the theory of generalized thermoelasticity with one relaxation time (Lord and Shulman’s theory) are considered. An application of a hollow cylinder is investigated ... Read more

Analytical Solution of Magneto-Thermoelastic Diffusion Problem on a Hollow Cylinder
In this article, an estimation is made to investigate the effect of magnetic field in generalized thermoelastic diffusion model in the context of Lord and Shulman theory in a perfectly conducting medium. The analytical solution in the Laplace transform domain is obtained by using the eigenvalue approach. The boundary conditions for the mechanical and Maxwell’s stresses at the internal and ... Read more

2018-10-02 12:06:50 Keywords Hollow Cylinder, Thermoelasticity, finite element method,
Generalized magneto-thermoelastic interaction in a fiber-reinforced anisotropic hollow cylinder
In this article, an estimation is made to investigate the transient phenomena in the magneto-thermoelastic model in the context of the Lord and Shulman theory in a perfectly conducting medium. A finite element method is proposed to analyze the problem and obtain numerical solutions for the displacement, temperature, and radial and hoop stresses. The boundary conditions for the mechanical and ... Read more

2018-10-02 11:45:10 Keywords Thermal shock, Hollow Cylinder, Thermoelasticity,
Generalized thermoelasticity of the thermal shock problem in an isotropic hollow cylinder and temperature dependent elastic moduli
In this paper, we construct the equations of generalized thermoelasticity for a non-homogeneous isotropic hollow cylider with a variable modulus of elasticity and thermal conductivity based on the Lord and Shulman theory. The problem has been solved numerically using the finite element method. Numerical results for the displacement, the temperature, the radial stress, and the hoop stress distributions are illustrated ... Read more

Thermal shock problem in a homogeneous isotropic hollow cylinder with energy dissipation
In this work, we constructed the equations of generalized thermoelasticity of a homogeneous isotropic hollow cylinder. The formulation is applied in the context of the Green and Naghdi theory of types II and III. The material of the cylinder is assumed to be homogeneous isotropic both mechanically and thermally. The problem has been solved numerically using a finite-element method. Numerical ... Read more

Effect of Rotation on Thermoelastic Waves with Green-Naghdi Theory in a Homogeneous Isotropic Hollow Cylinder
A new model of the equations of generalized thermoelasticiy for a material of the cylinder which is supposed to be homogeneous isotropic thermally conducting is given. The formulation is applied in the context of Green and Naghdi (GN) theory of types II and III under the e ect of rotation. The problem has been solved numerically using a nite element ... Read more