ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

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Publications Which contain the keyword: finite element method

Generalized magneto-thermoelastic interaction in a fiber-reinforced anisotropic hollow cylinder

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

LS model on electro–magneto–thermoelastic response of an infinite functionally graded cylinder

2018-10-02 12:31:51 Keywords electro–magneto–thermoelastic, finite element method,
LS model on electro–magneto–thermoelastic response of an infinite functionally graded cylinder
This article presents the electro–magneto–thermoelastic analysis problem of an infinite functionally graded material (FGM) hollow cylinder based upon Lord and Shulman’s (LS) theory. Material properties of the cylinder are assumed to be graded in the radial direction according to a novel power-law distribution in terms of the volume fractions of the metal and ceramic constituents. The inner surface of the ... Read more

Thermoelastic interactions without energy dissipation in a semi-infinite medium: Analytical-numerical solution

2018-10-02 12:28:42 Keywords finite element method, Thermoelasticity,
Thermoelastic interactions without energy dissipation in a semi-infinite medium: Analytical-numerical solution
Abstract — The present work is aimed at the study of thermoelastic interactions in a semi-infinite medium in the context of the Green and Naghdi theory of type II. The governing equations are expressed in Laplace transform domain and solved in the domain by analytical method and finite element method. The solutions of the problem in the physical domain are ... Read more

Analytical-Numerical Solution of Thermoelastic Problem in a Semi-Infinite Medium under Green and Naghdi Theory

2018-10-02 12:21:15 Keywords Green and Naghdi Theory, Analytical-Numerical Solution, finite element method, Thermoelasticity,
Analytical-Numerical Solution of Thermoelastic Problem in a Semi-Infinite Medium under Green and Naghdi Theory
Abstract—The present work is aimed at the study the analytical and numerical solutions of thermoelastic problem in a semi-infinite medium in the context of the Green and Naghdi theory of type III. The governing equations are expressed in Laplace transform domain and solved in the domain by analytical method and finite element method. The solutions of the problem in the ... Read more

A nonlinear generalized thermoelasticity model of temperature-dependent materials using finite element method

2018-10-02 12:12:03 Keywords Thermoelasticity, finite element method,
A nonlinear generalized thermoelasticity model of temperature-dependent materials using finite element method
In this article, a general finite element method (FEM) is proposed to analyze transient phenomena in a thermoelastic model in the context of the theory of generalized thermoelasticity with one relaxation time. The exact solution of the nonlinear model of the thermal shock problem of a generalized thermoelastic half-space of temperature-dependent materials exists only for very special and simple initial- ... Read more

Response of thermal source in a transversely isotropic thermoelastic half-space with mass diffusion by using a finite element method

2018-10-02 12:14:24 Keywords finite element method, Thermoelasticity,
Response of thermal source in a transversely isotropic thermoelastic half-space with mass diffusion by using a finite element method
The two-dimensional problem of generalized thermoelastic diffusion material with thermal and diffusion relaxation times is investigated in the context of the Lord—Shulman theory. As an application of the problem, a particular type of thermal source is considered and the problem is solved numerically by using a finite element method. The components of displacement, stress, temperature distribution, chemical potential, and mass ... Read more

Fundamental solution of generalized thermo-viscoelasticity using the finite element method

2018-10-02 12:08:24 Keywords finite element method, thermo-viscoelasticity, Thermoelasticity,
Fundamental solution of generalized thermo-viscoelasticity using the finite element method
The present paper is aimed at an investigation of the temperature, displacement, and stress in a viscoelastic half space of Kelven–Voigt type. The formulation is applied according to three theories of generalized thermoelasticity: Lord–Shulman with one relaxation time, Green–Lindsay with two relaxation times, as well as the coupled theory. The nondimensional governing equations are solved by the finite element method. ... Read more

Generalized thermoelastic interaction in a fiber-reinforced anisotropic half-space under hydrostatic initial stress

2018-10-02 12:04:59 Keywords finite element method, Fiber-Reinforced, initial stress,
Generalized thermoelastic interaction in a fiber-reinforced anisotropic half-space under hydrostatic initial stress
The propagation of plane waves in fiber-reinforced, anisotropic thermoelastic half-space proposed by Lord-Shulman under hydrostatic initial stress is discussed. The problem has been solved numerically using a finite element method. 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 the theory of generalized ... Read more

Generalized magneto-thermoelasticity in a fiber-reinforced anisotropic half-space

2018-10-02 08:22:20 Keywords magneto-thermoelasticity, Thermoelasticity, finite element method, Fiber-Reinforced,
Generalized magneto-thermoelasticity in a fiber-reinforced anisotropic half-space
The propagation of plane waves in a fiber-reinforced, anisotropic thermoelastic half-space proposed by Lord–Shulman under the effect of a magnetic field is discussed. The problem has been solved numerically using a finite element method. 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 ... Read more

Effect of rotation on plane waves at the free surface of a fibre-reinforced thermoelastic half-space using the finite element method

2018-10-02 08:19:57 Keywords Rotation, free surface, finite element method, Fiber-Reinforced, Thermoelasticity,
Effect of rotation on plane waves at the free surface of a fibre-reinforced thermoelastic half-space using the finite element method
The propagation of plane waves in fibre-reinforced, rotating thermoelastic half-space proposed by Lord-Shulman is discussed. The problem has been solved numerically using a finite element method. 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 the coupled theory and the theory of generalized ... Read more