ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

307

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Publications Which contain the keyword: Magneto-Thermoelastic


Dual-Phase-Lag Model on Generalized Magneto-Thermoelastic Interaction in a Functionally Graded Material
In this work, we consider the problem of magneto-thermoelastic interactions in a functionally graded material (FGM) under dual-phase-lag model in the presence of thermal shock. The generalized thermoelasticity theory with one relaxation time has been employed. The material is assumed to be elastic and functionally graded (FGM)(ie material with spatially varying properties). The basic equations have been written in the ... Read more

Analytical Solution of Magneto-Thermoelastic Diffusion Problem on a Hollow Cylinder
In this article, an estimation is made to investigate the effect of magnetic field in generalized thermoelastic diffusion model in the context of Lord and Shulman theory in a perfectly conducting medium. The analytical solution in the Laplace transform domain is obtained by using the eigenvalue approach. The boundary conditions for the mechanical and Maxwell’s stresses at the internal and ... Read more

2018-10-02 21:10:49 Keywords finite element method, Magneto-Thermoelastic, Rotation,
Effect of Rotation on Magneto-Thermoelastic Homogeneous Isotropic Hollow Cylinder with Energy Dissipation Using Finite Element Method
In this paper, we constructed the equations of generalized magneto-thermoelastic in a perfectly conducting medium. The formulation is applied in the context of Green-Naghdi theory of type III under the effect of rotation. The material of the hollow cylinder is supposed to be homogeneous isotropic both mechanically and thermally. The problem has been solved numerically using a finite element method ... Read more

Eigenvalue approach to fractional order generalized magneto-thermoelastic medium subjected to moving heat source
In the present work, we consider the problem of fractional order thermoelastic interaction in a material placed in a magnetic field and subjected to a moving plane of heat source. The basic equations have been written in the form of a vector–matrix differential equation in the Laplace transform domain, which is then solved by an eigenvalue approach. The inverse Laplace ... Read more

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