ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

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Analytical and Numerical Solution of 2D Problem for Transversely Isotropic Generalized Thermoelastic Medium with Green-Naghdi Model II

2018 | Keywords Analytical and Numerical Solut, Transversely Isotropic, Green-Naghdi Model II,
Analytical and Numerical Solution of 2D Problem for Transversely Isotropic Generalized Thermoelastic Medium with Green-Naghdi Model II
In this paper, a comparison was made between the analytical and numerical solution of a two-dimensional problem for a transversely isotropic generalized thermoelastic medium. The study is carried out in the context of generalized thermoelasticity proposed by Green and Naghdi's theory of type II. The problem has been solved analytically using the normal mode method with the eigenvalue approach and ... Read more

A mode I crack problem for a thermoelastic fibre-reinforced anisotropic material using finite element method

2018 | Keywords Anisotropic Material, fibre-reinforced, crack, finite element method,
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

2018 | Keywords semiconductor, Thermoelastic Waves, Analytical solutions, plasma,
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

Two-temperature photothermal interactions in a semiconducting material with a 3D spherical cavity

2018 | Keywords Two-temperature, photothermal, semiconductor, 3D spherical cavity,
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

Non-Linear Generalized Thermoelasticity of Temperature Dependent Materials Properties

2018 | Keywords non-linear, Thermoelasticity, finite element method,
Non-Linear Generalized Thermoelasticity of Temperature Dependent Materials Properties
In this work, we get the exact solution of a nonlinear model of the thermal shock problem of generalized thermoelastic half-space of temperature dependent materials. We considered two different cases of temperature dependent materials. Finite element analysis technique is used to get the numerical solutions. The results for the temperature increment, the displacement, and the stress distributions are illustrated graphically ... Read more

Analytical Solutions of a Two-Dimensional Generalized Thermoelastic Diffusions Problem Due to Laser Pulse

2018 | Keywords https://link.springer.com/arti, laser pulse, Thermoelastic Diffusions, Analytical solutions,
Analytical Solutions of a Two-Dimensional Generalized Thermoelastic Diffusions Problem Due to Laser Pulse
In this paper, we apply the generalized thermoelastic theory with mass diffusion to a two-dimensional problem for a half-space. The surface of the half-space is taken to be traction-free and heated by laser pulse. The analytical solution is adopted for the temperature, the displacement components, concentration, the stress components and chemical potential. The nonhomogeneous basic equations have been written in ... Read more

Finite Element Analysis of Thermoelastic Fiber-Reinforced Anisotropic Hollow Cylinder with Dual-Phase-Lag Model

2018 | Keywords Finite Element Analysis, Thermoelastic, Fiber-Reinforced, Hollow Cylinde, Dual-phase-lag model,
Finite Element Analysis of Thermoelastic Fiber-Reinforced Anisotropic Hollow Cylinder with Dual-Phase-Lag Model
In the present paper, we have constructed the equations for generalized thermoelasticity of a fiber-reinforced anisotropic hollow cylinder. The formulation is applied in the context of dualphase-lag model. An application of hollow cylinder is investigated for the outer surface is traction free and thermally isolated, while the inner surface is traction free and subjected to thermal shock. The problem is ... Read more

Generalized thermoelastic interactions in a hollow cylinder with temperature-dependent material properties

2017 | Keywords temperature-dependent material, Hollow Cylinder, thermoelasti,
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

2017 | 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

A study on photothermal waves in an unbounded semiconductor medium with cylindrical cavity

2017 | Keywords ylindrical cavity, semiconductor, photothermal waves,
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