ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

213

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Publications Which contain the keyword: Analytical solutions


2018-10-24 22:57:59 Keywords Analytical solutions, strongly nonlinear oscillators,
Periodic solutions of a certain non-linear differential equations
The study of nonlinear oscillators equations is of great importance not only in all areas of physics but also in engineering and other disciplines, since most phenomena in our word are nonlinear and are described by nonlinear equations. Recently, considerable attention has been direct towards the analytical solutions for nonlinear oscillators, for example, elliptic homotopy averaging method, amplitude-frequency formulation, homotopy ... 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

Analytical Solutions of Plasma and Thermoelastic Waves Photogenerated by a Focused Laser Beam in a Semiconductor Material
In the present work, the coupled plasma theory (thermally and elasticity waves) was used to study the wave propagation of semiconducting sample through photothermal process. The coupled of the plasma, thermally, and elastic waves that photo-generated through intensity modulated laser beam and tightly focused has been considered to study an elastic homogeneous semiconducting medium with isotropic thermo-elastic properties. Laplace transformations ... Read more

Analytical solutions of photo-thermo-elastic waves in a non-homogenous semiconducting material
In the present paper, the wave propagation on non-homogenous semiconductor through photo-thermal process has been studied by using the theory of coupled plasma and thermoelastic wave. Without neglecting the coupling between the plasma and thermoelastic wave that photo-generated through intensity modulated laser beam and tightly focused, a semiconducting isotropic elastic medium has non-homogeneity in thermal and elastic properties are considered. ... Read more

2018-10-13 22:22:26 Keywords Thermoelastic, Fiber-Reinforced, cracked, Analytical solutions,
Analytical solutions of 2-D problem for cracked thermoelastic fiber-reinforced anisotropic material
In this article, the analytical solution of the 2D problem for cracked thermoelastic fiber-reinforced anisotropic material is investigated. The boundary of the crack is due to a prescribed temperature and stress distribution. In the case of one relaxation time, the generalized thermoelastic theory has been employed. In the transformed domain using exponential Fourier and Laplace transformations, the eigenvalues approach are ... Read more

Analytical solutions of thermoelastic interactions in a hollow cylinder with one relaxation time
In this study, we aim to compare the optimal homotopy analysis solution with the exact solution of the thermoelastic interactions problem in an isotropic hollow cylinder. The thermoelastic interactions in a hollow cylinder in the context of the theory of generalized thermoelasticity with one relaxation time (Lord and Shulman’s theory) are considered. An application of a hollow cylinder is investigated ... Read more

2018-10-02 16:32:38 Keywords Analytical solutions, semi-infinite medium, Thermoelastic,
Analytical solutions of generalized thermoelastic interactions in a semi-infinite medium
In this study, we aim to compare the optimal homotopy analysis solution with the exact solution of thermoelastic interactions problem in isotropic media. The thermoelastic interactions in a semi-infinite medium in the context of the theory of generalized thermoelasticity with one relaxation time (Lord and Shulman's theory) is considered. The mathematical model solved by analytical method and optimal homotopy analysis ... Read more