Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.



Publications Which contain the keyword: Two-Dimensional

2018-10-12 12:12:15 Keywords Two-Dimensional, Thermoelasticity, anisotropic half-space,
Two-dimensional generalized thermo-elastic problem for anisotropic half-space
This paper concerns with the study of wave propagation in fibre reinforced anisotropic half space under the influence of temperature and hydrostatic initial stress. Lord-Shulman theory is applied to the heat conduction equation. The resulting equations are written in the form of vector matrix differential equation by using Normal Mode technique, finally which is solved by Eigen value approach. Keywords: ... Read more

Fractional order photo-thermo-elastic waves in a two-dimensional semiconductor plate
This paper is devoted to the investigation of fractional order photo-thermo-elastic waves in a two-dimensional semiconductor using the eigenvalues approach. The formulations applied are based on the fractional order generalized thermo-elasticity in the context of the new model of heat conduction. The bounding surface of the plate is taken to be stress-free and exposed to a heat flux with the ... 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