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 Analysis


Free convection MHD flow with thermal radiation from an impulsivelystarted vertical plate
This paper investigates the combined effects of magnetohydrodynamics and radiation on free convection flow past an impulsively started isothermal vertical plate with Rosseland diffusion approximation. The fluid considered is a gray, absorbingemitting radiation but a non-scattering medium, with approximate transformations the boundary layer governing the flow are reduced to non-dimensional equations valid in the free convection regime. The dimensionless governing ... Read more

Generalized magneto-thermoelasticity in a nonhomogeneous isotropic hollow cylinder using the finite element method
In this paper, we constructed the equations of generalized magneto-thermoelasticity in a perfectly conducting medium. The formulation is applied to generalizations, the Lord–Shulman theory with one relaxation time, and the Green–Lindsay theory with two relaxation times, as well as to the coupled theory. The material of the cylinder is supposed to be nonhomogeneous isotropic both mechanically and thermally. The problem ... 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

2018-10-01 07:37:44 Keywords tissue, Finite Element Analysis, Viscoelsatic,
A 3‐D Model for Finite Viscoelsatic Swelling of Charged Tissues and Gels
Materials like soft biological tissues undergo large viscoelastic deformations during the swelling process. Following this, it is the goal of this contribution to merge the advances of finite viscoelasticity laws and the state of the art in electrochemical swelling theories within a well‐founded multiphasic concept. The numerical treatment is carried out fully 3‐d in the framework of the FEM. 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

Boundary layer natural convection in a fluid saturated porous medium using finite element method
The present paper considers a numerical study of 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 nondimensional governing equations are solved by the finite element method. The resulting nonlinear integral equations are linearized and solved using the Newton− Raphson iteration. The finite element implementations are ... Read more

2018-10-01 18:44:43 Keywords Finite Element Analysis, Thermal shock, Thermoelasticity,
Finite element analysis of the thermoelastic interactions in an unbounded body with a cavity
Thermoelastic interactions in an infinite homogeneous elastic medium with a spherical or cylindrical cavity are studied. The cavity surface is subjected to a ramp-type heating of its internal boundary which is assumed to be traction free. A general finite element model is proposed to analyze transient phenomena in thermoelastic solids. Lord–Shulman and Green–Lindsay for the generalized thermoelasticity model are selected ... Read more