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: Two-temperature


2018-10-18 10:14:30 Keywords semiconductor, Two-temperature, cylindrical hole, photothermal,
A two-temperature photothermal interaction in a semiconductor medium containing a cylindrical hole
Photothermoelastic interactions in an infinite semiconductor medium containing a cylindrical hole with two temperatures are studied using mathematical method under the purview of the coupled theory of thermal, plasma and elastic waves. The internal surface of the hole is constrained and the carrier density is photogenerated by bound heat flux with an exponentially decaying pulse. Based on Laplace transform and ... Read more

Two-temperature photothermal interactions in a semiconducting material with a 3D spherical cavity
In this paper, a two-temperatures photothermoelastic interactions in an infinite semiconductor medium with a spherical cavity were studied using mathematical methods. The cavity internal surface is traction free and the carrier density is photogenerated by boundary heat flux with an exponentially decaying pulse. Laplace transform techniques are used to obtain the exact solution of the problem in the transformed domain ... Read more

Free Vibrations of Nanoscale Beam Under Two-Temperature Green and Naghdi Model
The influence of the coupling between strain rate and temperature becomes domineering in the nanoscale beam. In this work, the free vibration of nanoscale beam resonators is analysed using Green and Naghdi's theorem under the two-temperature model (2TGNIII). The influence of two-temperature parameters in a nanoscale beam is studied for beams under simply supported conditions. Exact expressions for frequency shift ... Read more

2018-10-13 22:13:03 Keywords semiconducting material, photothermal, Two-temperature,
A two-temperature photothermal interaction in a semiconducting material
This work is concerned with the study of the carrier density, thermodynamic temperature, conductive temperature, displacement and stress in a semi-infinite semiconducting medium during the photo-thermal process. The medium is considered to be a semiconductor medium with homogeneous, isotropic. In addition, the thermal and elastic properties have been considered without neglecting the coupling between the thermoelastic and the plasma waves. ... Read more

2018-10-06 21:31:09 Keywords free vibration, thermoelastic theory, Two-temperature,
Free vibration of a thermoelastic hollow cylinder under two-temperature generalized thermoelastic theory
The aim of this article is to study the exact solution for a free vibration in a thermoelastic hollow cylinder, which is initially undeformed and at uniform temperature. The formulation is applied in the context of two-temperature Green and Naghdi (2TGNIII) theory. Both the inner and outer curved surfaces of the cylinder are considered stress free and isothermal surfaces. The ... Read more

Two-Temperature Generalized Thermoelastic Interaction of Functional Graded Material
The aim of the present work is concerned with the solution of a problem on two-temperature generalized thermoelasticity for a functional graded material. The governing equations of two-temperature generalized thermoelasticity with one relaxation time for functionally graded materials (FGM) (i.e., material with spatially varying material properties) are established. Those equations are expressed in Laplace transform domain. The analytical solution in ... Read more

The effects of relaxation times and moving heat source on two-temperature generalized thermoelastic thin slim strip
The problem of two-temperature generalized thermoelastic thin slim strip is investigated in the context of Green and Lindsay theory. As an application of the problem, a particular type of moving heat source is considered and the problem is solved analytically by using the eigenvalue approach in the Laplace transforms domain. The displacement, conductive temperature, thermodynamic temperature, and stress are obtained. ... Read more

A GN model based upon two-temperature generalized thermoelastic theory in an unbounded medium with a spherical cavity
In this paper, a general solution to the field equations of two-temperature generalized thermoelastic theory in an unbounded medium with a spherical cavity has been obtained in the context of Green and Naghdi model. The eigenvalue approach is adopted for the solution of application for unbounded medium with a spherical cavity. The medium is assumed to be initially quiescent. The ... Read more

Finite element analysis of two-temperature generalized magneto-thermoelasticity
A general finite element model is proposed to analyze transient phenomena in thermoelastic solids. Youssef model of two-temperature generalized magneto-thermoelasticity is selected for an homogenous, isotropic, conducting and elastic medium, which is subjected to thermal shock, and a magnetic field with constant intensity acts tangent to the bounding plane. The numerical solution of the nondimensional governing partial differential equations of ... Read more