ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

213

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Publications Which contain the keyword: Finite Element Analysis


Finite Element Analysis of Thermoelastic Fiber-Reinforced Anisotropic Hollow Cylinder with Dual-Phase-Lag Model
In the present paper, we have constructed the equations for generalized thermoelasticity of a fiber-reinforced anisotropic hollow cylinder. The formulation is applied in the context of dualphase-lag model. An application of hollow cylinder is investigated for the outer surface is traction free and thermally isolated, while the inner surface is traction free and subjected to thermal shock. The problem is ... 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

Finite element analysis of internal penny-shaped crack problem in an unbounded thermoelastic medium
In this article, the generalized thermoelastic theory with one relaxation time is used to investigate the internal penny-shaped crack problem in an unbounded thermoelastic material. The boundary of the crack is subjected to a prescribed stress distribution and temperature. The problem has been solved numerically using a finite element method. The results of the temperature, displacement components, and stress components ... Read more

A finite element study of unsteady free convection heat and mass transfer in a Walters-B viscoelastic flow past a semi-infinite vertical plate
A numerical solution for the free convective, unsteady, incompressible, laminar convective heat and mass transfer in a viscoelastic fluid along an impulsively started vertical plate with variable temperature and concentration in considered. The rheology of the fluid is studied through the Walters' (model B) to simulate medical creams, biotechnology and chemical engineering. The governing boundary layer equations are reduced to ... Read more

2018-10-02 13:30:44 Keywords magneto-thermoelasticity, Finite Element Analysis,
On the numerical solution of thermal shock problem for generalized magneto-thermoelasticity for an infinitely long annular cylinder with variable thermal conductivity
In the present work, we study the transient phenomena in magneto-thermoelastic model in the context of the theory of generalized thermoelasticity GL model with variable thermal conductivity. The numerical solutions for the displacement, temperature, and radial and hoop streasses in the context of FEM are obtained. The boundary conditions for the mechanical and Maxwell's stresses at the internal and outer ... Read more

2018-10-02 12:38:50 Keywords Fiber-Reinforced, Finite Element Analysis,
Two-temperature green and Naghdi model on thermoelastc interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole
The present work is aimed at the study of thermoelastic interactions in an infinite fibre-reinforced anisotropic plate containing a circular hole in the context of a theory of generalized thermoelasticity in which the theory of heat conduction in deformable bodies depends on two different temperatures-conductive temperature and dynamic temperature. The two-temperature generalized thermoelastic model and one-temperature generalized thermoelastic model are ... Read more

Finite element analysis of two-temperature generalized magneto-thermoelasticity
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 ... 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

Effect of thermal dispersion on free convection in a fluid saturated porous medium
The present article considers a numerical study of thermal dispersion effect on the non-Darcy natural convection over a vertical flat plate in a fluid saturated porous medium. Forchheimer extension is considered in the flow equations. The coefficient of thermal diffusivity has been assumed to be the sum of molecular diffusivity and the dispersion thermal diffusivity due to mechanical dispersion. The ... Read more