ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

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  • Courses 10
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  • Publications 201
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Plane waves in generalized thermo-microstretch elastic solid with thermal relaxation using finite element method

2012 | Keywords hermo-microstretch, plane waves,
Plane waves in generalized thermo-microstretch elastic solid with thermal relaxation using finite element method
The propagation of plane waves in a thermo-microstretch elastic solid half-space as proposed by Lord–Shulman as well as the classical dynamical coupled theory are discussed. The problem has been solved numerically using a finite element method. Numerical results for the displacement components, force stresses, temperature, couple stresses, and microstress distribution are obtained. The variations of the considered variables through the ... Read more

LS model on thermal shock problem of generalized magneto-thermoelasticity for an infinitely long annular cylinder with variable thermal conductivity

2011 | Keywords Thermoelasticity, finite element method, magneto-thermoelasticity, LS model,
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

On the viscous dissipation modeling of thermal fluid flow in a porous medium

2011 | Keywords thermal fluid flow, Porous medium, Viscous dissipation,
On the viscous dissipation modeling of thermal fluid flow in a porous medium
The problem of viscous dissipation and thermal dispersion in saturated porous medium is numerically investigated for the case of non-Darcy flow regime. The fluid is induced to flow upward by natural convection as a result of a semi-infinite vertical wall that is immersed in the porous medium and is kept at constant higher temperature. The boundary layer approximations were used ... Read more

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

2011 | 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

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

2011 | 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 initial stress on a fiber-reinforced anisotropic thermoelastic thick plate

2011 | Keywords thick plate, thermoelasti, anisotropic, Fiber-Reinforced, initial stress,
Effect of initial stress on a fiber-reinforced anisotropic thermoelastic thick plate
The two-dimensional problem of generalized thermoelasticity for a fiber-reinforced anisotropic thick plate under initial stress is studied in the context of the Lord and Shulman theory. The upper surface of the plate is thermally insulated with prescribed surface loading while the lower surface of the plate rests on a rigid foundation and temperature. The problem is solved numerically using a ... Read more

A study of generalized thermoelastic interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole

2011 | Keywords anisotropic, fibre-reinforced, circular hole, Thermoelasticity, finite element method,
A study of generalized thermoelastic interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole
Materials such as resins reinforced by strong aligned fibres exhibit highly anisotropic elastic behaviour in a sense that their elastic moduli for extension in the fibre direction are frequently of the order of 50 or more times greater than their elastic moduli in transverse extension or in shear. The mechanical behaviour of many fibre-reinforced composite materials is adequately modelled by ... Read more

A two-dimensional problem for a fibre-reinforced anisotropic thermoelastic half-space with energy dissipation

2011 | Keywords finite element method, Fiber-Reinforced, Thermoelasticity, energy dissipation,
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

Thermal shock problem in a homogeneous isotropic hollow cylinder with energy dissipation

2011 | Keywords nergy dissipation, Hollow Cylinder, Thermal shock, finite element method,
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

Influence of Initial Stress as a Convective Boundary Condition on Natural Frequencies of a Poroelastic Hollow Cylinder

2011 | 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