ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

262

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Publications Which contain the keyword: Thermoelasticity


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

LS model on thermal shock problem of generalized magneto-thermoelasticity for an infinitely long annular cylinder with variable thermal conductivity
In the present paper, an estimation is made to investigate the transient phenomena in magneto-thermoelastic model in the context of the theory of generalized thermoelasticity LS model with variable thermal conductivity. FEM is proposed to analyze the problem and obtain the numerical solutions for the displacement, temperature, and radial and hoop stresses. The boundary conditions for the mechanical and Maxwell’s ... Read more

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

A two-dimensional problem for a fibre-reinforced anisotropic thermoelastic half-space with energy dissipation
The theory of thermoelasticity with energy dissipation is employed to study plane waves in a fibre-reinforced anisotropic thermoelastic half-space. We apply a thermal shock on the surface of the half-space which is taken to be traction free. The problem is solved numerically using a finite element method. Moreover, the numerical solutions of the non-dimensional governing partial differential equations of the ... Read more

2018-10-02 11:28:40 Keywords poroelastic, Thermoelasticity,
Influence of Initial Stress as a Convective Boundary Condition on Natural Frequencies of a Poroelastic Hollow Cylinder
In this paper, we study the radial vibrations of a poroelastic hollow cylinder with convective boundary conditions. Biot's theory is employed for wave propagation in a porous solid, the frequency equation for radial vibration of a poroelastic cylinder is obtained includes initial stress as a convective boundary condition. The frequency equation has been derived in the form of a determinant ... 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 12:10:19 Keywords Thermoelasticity,
Generalized thermoelasticity of thermal-shock problem in a non-homogeneous isotropic hollow cylinder with energy dissipation
A solution of a thermal-shock problem of generalized thermoelasticity of a non-homogeneous isotropic hollow cylinder using a finite-element method is developed. The formulation is applied to the generalized thermoelasticity based on the Green and Naghdi (GN) theory of type II and type III by an appropriate choice of parameters. The problem has been solved numerically using a finite-element method. Numerical ... Read more

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

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