ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

262

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Publications Which contain the keyword: Thermoelastic


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

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

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

2018-10-06 07:28:48 Keywords wave propagation, eigenvalue approach, Thermoelastic,
Wave Propagation in a Generalized Thermoelastic Transversely Isotropic Plate Using Eigenvalue Approach
In the present work, frequency equations are obtained for Rayleigh-Lamb wave propagation in a transversely isotropic plate of thermoelastic material, in the context generalized theory of thermoelasticity. The thickness of the plate is taken to be finite and the faces of the plate are assumed isolated and free from stresses. The analytical solution for the temperature, displacement components and stresses ... Read more

2018-10-06 07:38:29 Keywords eigenvalue approach, Thermoelastic, Fractional-Order,
Fractional-Order Generalized Thermoelastic Interaction in an Unbounded Media by Pulsed Laser Heating
In this work, the influence of fractional-order derivative with two relaxation times in a thermoelastic medium under laser pulse is established. The surface of the half-space with free stresses is considered to be heated by a laser pulse. The exact analytical solution is adopted for the variations of temperature as well as the components of displacement and stress. Based on ... Read more

Eigenvalue approach on a two-dimensional thermal shock problem with weak, normal and strong conductivity
The present paper is devoted to the study of a two-dimensional thermal shock problem with weak, normal and strong conductivity using the eigenvalue approach. The governing equations are taken in the context of the new consideration of heat conduction with fractional order generalized thermoelasticity with the Lord-Shulman model (LS model). The bounding surface of the half-space is taken to be ... 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

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

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

2018-10-08 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