ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

279

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Generalized thermoelastic interactions in a hollow cylinder with temperature-dependent material properties
In the present work, the generalized thermoelastic interactions in a hollow cylinder with one relaxation time are considered. The modulus of elasticity are taking as function of temperature. Due to the nonlinearity of the governing equations, finite element method is adopted to solve such problem. The exact solution in the case of temperature-independent is discussed explicitly. Numerical results for the ... Read more

On continuous dependence for the mixed problem of microstretch bodies
We do a qualitative study on the mixed initial-boundary value problem in the elastodynamic theory of microstretch bodies. After we trans-form this problem in a temporally evolutionary equation on a Hilbert space, we will use some results from the theory of semigroups of linear operators in order to prove the continuous dependence of the solutions upon initial data and supply ... Read more

Analytical solution of thermoelastic interaction in a half-space by pulsed laser heating
In this article, we consider the problem of a two-dimensional thermoelastic half-space in the context of generalized thermoelastic theory with one relaxation time. The surface of the half-space is taken to be traction free and thermally insulated. The solution of the considered physical quantity can be broken down in terms of normal modes. The nonhomogeneous basic equations have been written ... Read more

Eigenvalue Approach in a Generalized Thermal Shock Problem for a Transversely Isotropic Half-Space
In the present work, the investigating of the disturbances in a homogeneous, transversely isotropic elastic medium with generalized thermoelastic theory has been concerned. The formulation is applied to generalized thermoelasticity based on three different theories. Laplace and Fourier transforms are used to solve the problem analytically. The essential equations have been written as a vector-matrix differential equation in the Laplace ... Read more

A Semi-Group of Contractions in Elasticity of Microstretch Materials
Our study is dedicated to mixed initial-boundary value problem in elastodynamic theory of microstretch bodies. This problem is transformed in an abstract temporally evolutionary equation in a Hilbert space. Then, using some results from the theory of semigroups of linear operators we deduce the existence and uniqueness of solution. In the same manner, the continuous dependence of the solutions upon ... Read more

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

Analytical and computational solution of three-dimensional thermoelastic interactions in porous material with temperature-dependent properties
The present work deals with a new problem of generalized thermoelastic interaction on a porous material with temperature-dependent mechanical properties in the context of Green and Naghdi type II. The surface of the half-space is taken to be traction free and heated by subjected to a time-dependent heat source. The eigenvalue approach techniques under normal mode analysis are used to ... Read more

2017 | Keywords plasma, elastic waves, semiconductor,
A generalized model on plasma, thermal and elastic waves in a semiconductor medium
In this work, a generalized model on plasma, thermal and elastic waves was used to study the wave propagation of semiconducting material during the photo-thermal process. The thermal relaxation time, the coupling between the plasma, thermal, and elastic waves has been considered. The analytical solutions in the transformed domain by the eigenvalue approach have been obtained based on the techniques ... Read more

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

Dual-Phase-Lag Model on Generalized Magneto-Thermoelastic Interaction in a Functionally Graded Material
In this work, we consider the problem of magneto-thermoelastic interactions in a functionally graded material (FGM) under dual-phase-lag model in the presence of thermal shock. The generalized thermoelasticity theory with one relaxation time has been employed. The material is assumed to be elastic and functionally graded (FGM)(ie material with spatially varying properties). The basic equations have been written in the ... Read more