ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

307

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2019 | Keywords photo-thermo-elastic waves,
Analysis of photo-thermo-elastic response in a semiconductor media due to moving heat source
A mathematical model of Green-Naghdi photothermal theory is given to study the wave propagation in a two-dimensional semiconducting material due to moving heat source. By using the Fourier and Laplace transformations with the eigenvalues method, the physical quantities are obtained analytically. Initially, it is assumed that the medium is at rest and it is subject to a heat source in ... Read more

2019 | Keywords semiconductor, photothermal waves,
Модель двухфазного сдвига фототермоупругих волн в двумерной полупроводниковой среде1
В статье с использованием обобщенной модели фототермической волны и модели двухфазного запаздывания проведены расчеты приращения температуры, компонент смещения, плотности носителей и компонент напряжений в двумерных полупроводниковых средах. С помощью преобразований Фурье и Лапласа в рамках подхода к определению собственных значений получены точные решения для всех физических величин. Исследование полупроводниковой среды проведено на примере кремния. С использованием полученных результатов проиллюстрирована разница ... Read more

A DPL model of photothermal interaction in a semiconductor material
The generalized model for plasma, thermal, and elastic waves under dual phase lag model have been applied to determine the carrier density, the displacement, the temperature, and the stresses in a semiconductor medium. Using Laplace transform and the eigenvalue approach methodology, the solutions of all variables have been obtained analytically. A semiconducting material like as silicon was considered. The results ... Read more

2019 | Keywords B-cell impairment,
Global properties of latent virus dynamics with B-cell impairment
In this paper we construct virus dynamics models with impairment of B-cell functions. Two different forms of the incidence rate have been considered, bilinear and general. The latently infected cells have been incorporated into the models. The well-posedness of the models is justified. The models admits two equilibria which are determined by the basic reproduction number R0. The global stability ... Read more

A DPL model of photo-thermal interaction in an infinite semiconductor material containing a spherical hole
The dual phase lag (DPL) heat transfer model is applied to study the photo-thermal interaction in an infinite semiconductor medium containing a spherical hole. The inner surface of the cavity was traction free and loaded thermally by pulse heat flux. By using the eigenvalue approach methodology and Laplace’s transform, the physical variable solutions are obtained analytically. The numerical computations for ... Read more

A mode I crack problem for a thermoelastic fibre-reinforced anisotropic material using finite element method
In this article, the theory of generalized thermoelasticity with one relaxation time is used to investigate the thermoelastic fiber-reinforced anisotropic material with a finite linear crack. The crack boundary is due to a prescribed temperature and stress distribution. By using the finite element method, the numerical solutions of the components of displacement, temperature and the stress components have been obtained. ... 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

Theoretical analysis of thermal damages in skin tissue induced by intense moving heat source
In this paper, the analytical solution of hyperbolic bio-heat equation under intense moving heat source is presented. The exact solution in the domain of Laplace's transform is obtained. The thermal damages to the tissues are evaluated by the extent of the denatured protein employing with the Arrhenius equation. The results indicate that the hyperbolic bio-heat model reduces to the parabolic ... Read more

Analytical solution of fractional order photo-thermoelasticity in a non-homogenous semiconductor medium
The purpose of this paper is to study the wave propagation in a non-homogenous semiconducting medium through the photothermal process using the fractional order photo-thermoelastic without neglecting the coupling between the plasma and thermoelastic waves that photogenerated through traction free and loaded thermally by exponentially decaying pulse boundary heat flux. Read more

Fractional order theory in a semiconductor medium photogenerated by a focused laser beam
In this paper, the fractional order theory has been applied for thermal, elastic and plasma waves to determine the carrier density, displacement, temperature and stress in a semiconductor medium. The thermal, elastic and plasma waves in a semi-infinite medium photogenerated by a focused laser beam were analyzed. The Laplace transformation is used to express the governing equation and solved analytically ... Read more