ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

307

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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

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

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

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

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

A study on photothermal waves in an unbounded semiconductor medium with cylindrical cavity
The theory of coupled plasma, thermal, and elastic waves was used to investigate the wave propagation on semiconductor material with cylindrical cavity during photo-thermoelastic process. An unbounded material, elastic semiconductor containing a cylindrical cavity with isotropic and homogeneous thermal and elastic properties has been considered. The inner surface of cavity is constrained, and the carrier density is photogenerated by an ... Read more