Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.



Publications Which contain the keyword: Thermoelastic

2018-10-02 21:00:29 Keywords porous material, fractional order, Thermoelastic,
Two-dimensional fractional order generalized thermoelastic porous material
In the work, a two-dimensional problem of a porous material is considered within the context of the fractional order generalized thermoelasticity theory with one relaxation time. The medium is assumed initially quiescent for a thermoelastic half space whose surface is traction free and has a constant heat flux. The normal mode analysis and eigenvalue approach techniques are used to solve ... Read more

Thermoelastic interactions in an isotropic unbounded medium due to moving heat source using GNIII model
In this work, we study a problem of thermoelastic interaction due to moving heat source in an isotropic infinite medium under Green and Naghdi model of type III (GNIII). The form of vector-matrix differential equation in the Laplace transform domain, the basic equations have been written, which is then solved by an eigenvalue technique. The analytical solution in the Laplace ... Read more

Analytical Solution for a Free Vibration of a Thermoelastic Hollow Sphere
For a free vibration problem of a thermoelastic hollow sphere into the context of the generalized thermoelasticity theory with one relaxation time, exact analytic solutions are obtained with the use of eigenvalue approach. Both the inner and outer curved surfaces of the sphere are considered stress-free and isothermal surfaces. The dispersion relations for the existence of various types of possible ... Read more

2018-10-08 19:23:18 Keywords Thermoelastic, analytical solution, eigenvalue approach,
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

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

2018-10-13 22:22:26 Keywords Thermoelastic, Fiber-Reinforced, cracked, Analytical solutions,
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

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

Analytical solutions of thermoelastic interactions in a hollow cylinder with one relaxation time
In this study, we aim to compare the optimal homotopy analysis solution with the exact solution of the thermoelastic interactions problem in an isotropic hollow cylinder. The thermoelastic interactions in a hollow cylinder in the context of the theory of generalized thermoelasticity with one relaxation time (Lord and Shulman’s theory) are considered. An application of a hollow cylinder is investigated ... Read more

2018-10-06 21:06:26 Keywords wave propagation, Thermoelastic, eigenvalue approach,
Wave propagation in a generalized thermoelastic plate using eigenvalue approach
In the present work, we obtain a dispersion relation for Rayleigh–Lamb wave propagation in a plate of thermoelastic material. For this aim, we consider the theory of generalized thermoelasticity with one relaxation time. The thickness of the plate is taken to be finite and the faces of the plate are assumed to be isothermal and free from stresses. We obtain ... Read more

2018-10-06 13:47:43 Keywords magnetic field, Thermoelastic, GN-III theory, Fiber-Reinforced,
The effect of magnetic field on a thermoelastic fiber-reinforced material under GN-III theory
In this work, the two-dimensional generalized magneto-thermoelastic problem of a fiber-reinforced anisotropic material is investigated under Green and Naghdi theory of type III. The solution will be obtained for a certain model when the half space subjected to ramp-type heating and traction free surface. Laplace and exponential Fourier transform techniques are used to obtain the analytical solutions in the transformed ... Read more