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Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

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Publications Which contain the keyword: Thermoelastic

Two-Temperature Generalized Thermoelastic Interaction of Functional Graded Material

2018-10-02 21:09:15 Keywords eigenvalue approach, Two-temperature, Thermoelastic, Functional Graded Material,
Two-Temperature Generalized Thermoelastic Interaction of Functional Graded Material
The aim of the present work is concerned with the solution of a problem on two-temperature generalized thermoelasticity for a functional graded material. The governing equations of two-temperature generalized thermoelasticity with one relaxation time for functionally graded materials (FGM) (i.e., material with spatially varying material properties) are established. Those equations are expressed in Laplace transform domain. The analytical solution in ... Read more

A dual phase lag model on thermoelastic interaction in an infinite fiber-reinforced anisotropic medium with a circular hole

2018-10-02 21:14:59 Keywords Thermoelastic, nisotropic medium, Fiber-Reinforced, dual phase lag model,
A dual phase lag model on thermoelastic interaction in an infinite fiber-reinforced anisotropic medium with a circular hole
The model of generalized thermoelasticity proposed by dual phase lag (DPL), is applied to study the thermoelastic interactions in an infinite fiber-reinforced anisotropic medium with a circular hole. A decaying with time thermal field on the boundary of the hole, which is stress free, causes the thermoelastic interactions. The solutions for displacement, temperature, and stresses are obtained with the help ... Read more

A Review on Generalized Thermoelastic Interaction in a Fiber-Reinforced Anisotropic Medium

2018-10-02 21:20:51 Keywords Thermoelastic, Anisotropic Medium, Fiber-Reinforced,
A Review on Generalized Thermoelastic Interaction in a Fiber-Reinforced Anisotropic Medium
The present study deals with the review on the development of the theory of generalized thermoelasticity in a fiber-reinforced anisotropic medium. The basic equations are applied in context of Lord and Shulman12 theory, Green–Lindsay13 and Green and Naghdi18 theory of generalized thermoelasticity are reviewed. Analytical and numerical methods in literature are also reviewed. Read more

Axisymmetric Distributions of Thick Circular Plate in a Modified Couple Stress Theory

2018-10-02 21:22:19 Keywords Thermoelastic, Stress Theory, Axisymmetric,
Axisymmetric Distributions of Thick Circular Plate in a Modified Couple Stress Theory
In this paper, the two-dimensional axisymmetric distributions of thick circular plate in modified couple stress theory with heat and mass diffusive sources is investigated. The problem is considered in the context of the theories of thermodiffusion elastic solid with one and two relaxation time developed by Sherief _et al._ [_Int. J. Eng. Sci._42, 591 (2004)] and Kumar and Kansal [_Int. ... Read more

Analytical solution of a two-dimensional thermoelastic problem subjected to laser pulse

2018-10-02 21:35:59 Keywords laser pulse, analytical solution, Thermoelastic,
Analytical solution of a two-dimensional thermoelastic problem subjected to laser pulse
In this article, the problem of a two-dimensional thermoelastic half-space are studied using mathematical methods under the purview of the generalized thermoelastic theory with one relaxation time is studied. The surface of the half-space is taken to be thermally insulated and traction free. Accordingly, the variations of physical quantities due to by laser pulse given by the heat input. The ... Read more

Thermoelastic interactions in an isotropic unbounded medium due to moving heat source using GNIII model

2018-10-02 17:17:03 Keywords heat source, unbounded medium, Thermoelastic, GNIII model, moving heat source,
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