Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.


2020 | Keywords Thermoelastic Dipolar,
A Study of Deformations in a Thermoelastic Dipolar Body with Voids
In this paper, we consider the mixed initial boundary value problem in the context of a thermoelastic porous body having a dipolar structure. We intend to analyze the rate of decay of solutions to this problem to ensure that in a finite time, they become null. In our main result, we find that the combined contribution of the dipolar constitution ... Read more

2020 | Keywords dual-phase lag,
Nonlinear analysis of dual-phase lag bio-heat model in living tissues induced by laser irradiation
This paper provides a method for determining a numerical solution of the thermal damage of living tissues using a nonlinear dual phase lag model. Due to the nonlinearity of the basic equations, the finite element approach is adopted to solve such problems. The numerical outcomes obtained by the finite element technique are also compared with the existing experimental study to ... Read more

2020 | Keywords dipolar structure,
Some results for dipolar structure in thermoelasticity backward in time
https://scholar.google.com/scholar?cluster=16593583540134336403&hl=en&oi=scholarr Read more

2020 | Keywords Porous medium,
Generalized thermoelastic interaction in a two-dimensional porous medium under dual phase lag model
The purpose of this study is to use the generalized model for thermoelastic wave under the dual phase lag (DPL) model to compute the increment of temperature, the components of displacement, the changes in volume fraction field and the stress components in a two-dimensional (2D) porous medium. Read more

2019 | Keywords photothermal waves, semiconductor,
A GN model on photothermal interactions in a two-dimensions semiconductor half space
The model of coupled plasma and thermo-elastic wave were used to investigate the wave propagation in a two-dimensional semiconducting half space by using eigenvalues approach. By using Fourier and Laplace transformations with the eigenvalues techniques methodology, the exact solution of all physical quantities is obtained. The boundary edge of the plane is due to a heat flux with a pulse ... Read more

2019 | Keywords
Solutions of Some Difference Equations Systems and Periodicity
In this article, analysis and investigation have been conducted on the periodic nature as well as the type of the solutions of the subsequent schemes of rational difference equations Read more

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

An analytical study on the fractional transient heating within the skin tissue during the thermal therapy
In the present paper, the bioheat equation under fractional derivatives is used to study the thermal damage within the skin tissue during the thermal therapy. Basically, the analytical solutions in the Laplace domain are easily obtainable. The influences of the fractional derivative and moving heat source velocity on the temperature of skin tissues and the thermal injuries are precisely investigated. ... 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

Analytical estimations of temperature in a living tissue generated by laser irradiation using experimental data
This paper presents an analytical approach associated with Laplace transformation, experimental temperature data, and a sequential concept over time to obtain the thermal damage and the temperature in a living tissue due to laser irradiation. The analytical solutions in the Laplace domain are appreciably obtainable. The thermal damage to the tissue is completely assessed by the denatured protein range using ... Read more