ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

214

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Publications Which contain the keyword: Thermoelasticity


Analytical-Numerical Solution of Thermoelastic Problem in a Semi-Infinite Medium under Green and Naghdi Theory
Abstract—The present work is aimed at the study the analytical and numerical solutions of thermoelastic problem in a semi-infinite medium in the context of the Green and Naghdi theory of type III. The governing equations are expressed in Laplace transform domain and solved in the domain by analytical method and finite element method. The solutions of the problem in the ... Read more

2018-10-02 12:28:42 Keywords finite element method, Thermoelasticity,
Thermoelastic interactions without energy dissipation in a semi-infinite medium: Analytical-numerical solution
Abstract — The present work is aimed at the study of thermoelastic interactions in a semi-infinite medium in the context of the Green and Naghdi theory of type II. The governing equations are expressed in Laplace transform domain and solved in the domain by analytical method and finite element method. The solutions of the problem in the physical domain are ... Read more

2018-10-02 21:06:24 Keywords micropolar, Thermoelasticity, deformation, voids,
Deformation Due to Thermomechanical Sources in a Homogeneous Isotropic Micropolar Thermoelastic Medium with Void
The present investigation is to study the plane problem in a homogeneous isotropic micropolar thermoelastic half-space with void in the context of Lord-Shulman, Green-Lindsay and coupled thermoelasticity (CT) theories. The problem is investigated due to normal force, tangential force and thermal source. Finite element method technique has been used to solve the problem. The components of displacement, microrotation, stress, temperature ... Read more

2018-10-14 10:27:53 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

2018-10-14 10:06:36 Keywords fractional order theory, thermal loading, Thermoelasticity,
A study on fractional order theory in thermoelastic half-space under thermal loading
In this study, the effect of fractional order derivative on a two-dimensional problem due to thermal shock with weak, normal and strong conductivity is established. The governing equations are taken in the context of Green and Naghdi of type III model (GNIII model) under fractional order derivative. Based on the Laplace and exponential Fourier transformations with eigenvalues approach, the analytical ... Read more

2018-10-13 22:40:03 Keywords eigenvalue approach, Thermoelasticity, semiconductor,
Photo-thermal-elastic interaction in an unbounded semiconducting medium with spherical cavity due to pulse heat flux
In this work, the photothermal waves in an unbounded semiconducting medium with spherical cavity are studied. This problem is solved using the theory of coupled plasma, thermal, and elastic wave. An unbounded material, elastic semiconductor containing a spherical cavity with isotropic and homogeneous thermal and elastic properties has been considered. The inner surface of the cavity is taken traction-free and ... Read more

2018-10-13 22:34:41 Keywords semiconductor, Thermoelasticity, spherical cavity, DPL model,
A DPL model of photo-thermal interaction in an infinite semiconductor material containing a spherical hole
The dual phase lag (DPL) heat transfer model is applied to study the photo-thermal interaction in an infinite semiconductor medium containing a spherical hole. The inner surface of the cavity was traction free and loaded thermally by pulse heat flux. By using the eigenvalue approach methodology and Laplace’s transform, the physical variable solutions are obtained analytically. The numerical computations for ... Read more

2018-10-12 12:12:15 Keywords Two-Dimensional, Thermoelasticity, anisotropic half-space,
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

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

Finite element method of thermal shock problem in a non-homogeneous isotropic hollow cylinder with two relaxation times
A solution of thermal shock problem of generalized thermoelasticity of a non-homogeneous isotropic hollow cylinder using finite element method is developed. Lord–Shulman and Green–Lindsay for the generalized thermoelasticity model are selected for that purpose which reduces to the classical model by appropriate choice of the parameters. The problem has been solved numerically using a finite element method (FEM). Numerical results ... Read more