Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.



Publications Which contain the keyword: Thermoelastic Diffusions

Analytical Solutions of a Two-Dimensional Generalized Thermoelastic Diffusions Problem Due to Laser Pulse
In this paper, we apply the generalized thermoelastic theory with mass diffusion to a two-dimensional problem for a half-space. The surface of the half-space is taken to be traction-free and heated by laser pulse. The analytical solution is adopted for the temperature, the displacement components, concentration, the stress components and chemical potential. The nonhomogeneous basic equations have been written in ... Read more

2018-10-02 13:20:19 Keywords micropolar, Thermoelastic Diffusions,
Relaxed Saint-Venant principle for thermoelastic micropolar diffusion
The main goal of this study is to extend the domain of influence result to cover the micropolar thermoelastic diffusion. So, we prove that for a finite time t> 0 the displacement field, the microrotation vector, the temperature and the chemical potential P generate no disturbance outside a bounded domain. Read more

2018-10-02 13:22:23 Keywords Thermoelastic Diffusions, mass diffusion,
The effect of thermal source with mass diffusion in a transversely isotropic thermoelastic infinite medium
The 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 a transversely isotropic thermoelastic infinite medium with a cylindrical cavity. The surface of cavity is taken to be traction free and subjected to heating. The analytical solution in the Laplace transform domain is obtained ... Read more

Generalized thermoelastic diffusion in a nanoscale beam using eigenvalue approach
In this paper, the effect of mass diffusion in a thermoelastic nanoscale beam in context Lord and Shulman theory is studied. The analytical solution in the Laplace domain is obtained for lateral deflection, temperature, displacement, concentration, stress and chemical potential. The both ends of the nanoscale beam are simply supported. The basic equations have been written in the form of ... Read more

Finite element analysis in a rotating thermoelastic half-space with diffusion
A thermal shock problem of rotating generalized thermoelastic half-space with diffusion is considered. The governing equations of the model are reduced in xy-plane in terms of non-dimensional quantities. The corresponding finite element equations are obtained, the solutions of which are subjected to required initial and boundary conditions. Using finite element method, the distributions of displacement components, stress components, temperature, chemical ... Read more

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