ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

274

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Publications Which contain the keyword: Thermoelastic Diffusion


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 21:16:19 Keywords fractional order theory, Thermoelastic Diffusion,
A Half-Space Problem in the Fractional Order Theory of Thermoelastic Diffusion
In this work, a general solution to the field equations of generalized thermoelastic diffusion in a half-space is considered in the context of fractional order theory of thermoelastic diffusion. The bounding surface of the half-space is taken to be traction free and subjected to a time dependent thermal shock while the chemical potential is assumed to be a known function ... Read more

Fractional Order Theory of Thermoelastic Diffusion Problem for an Infinite Medium with Cylindrical Cavity
The fractional order theory of generalized thermoelastic diffusion with relaxation times, in the context of Lord and Shulman theory, is used to investigate the thermoelastic diffusion problem in an infinite medium with a cylindrical cavity. The surface of cavity is taken to be traction free and subjected to heating. The chemical potential is assumed a known function of time on ... Read more

2018-10-02 21:03:35 Keywords Thermal Source, Thermoelastic Diffusion, micropolar,
Interaction Due to Thermal Source in Micropolar Thermoelastic Diffusion Medium
In present study, the deformation in a micropolar thermoelastic diffusion medium due to thermal source by the use of finite element method (FEM) is investigated in the context of Lord-Shulman (L-S) theory of Thermoelasticity. A special type of sources have been taken to show the utility of the approach. The components of displacement, stress, microrotation, temperature change and mass concentration ... Read more

Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity
In this work, we study a problem in a fractional order theory of thermoelastic diffusion in an infinite medium with a spherical cavity at an elevated temperature field arising out of a ramp-type heating and loading bounding surface of the cavity. The chemical potential is assumed a known function of time on the bounding cavity. The form of vector–matrix differential ... Read more

A Green and Naghdi Model in a Two-Dimensional Thermoelastic Diffusion Problem for a Half Space
The present investigation is concerned with the wave propagation of generalized thermoelastic diffusion on a half space with energy dissipation. The surface of the half-space is taken to be traction free and a thermal shock applied on the surface. The problem has been solved numerically using a finite element method. The expressions for displacement components, stresses, temperature, concentration and chemical ... Read more