Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.



Publications Which contain the keyword: laser pulse

Eigenvalue approach for generalized thermoelastic porous medium under the effect of thermal loading due to a laser pulse in DPL model
The aim of the present study is concerned with the thermal loading due to laser pulse on thermoelastic porous medium under dual-phase-lag model DPL. The material is a homogeneous isotropic elastic half-space and heated by a non-Gaussian laser beam with the pulse duration of 8 ps. Eigenvalue approach is proposed to analyze the problem and obtain the analytical solutions of ... Read more

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 21:35:59 Keywords laser pulse, analytical solution, Thermoelastic,
Analytical solution of a two-dimensional thermoelastic problem subjected to laser pulse
In this article, the problem of a two-dimensional thermoelastic half-space are studied using mathematical methods under the purview of the generalized thermoelastic theory with one relaxation time is studied. The surface of the half-space is taken to be thermally insulated and traction free. Accordingly, the variations of physical quantities due to by laser pulse given by the heat input. The ... Read more