ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

266

Like

Publications Which contain the keyword: Fiber-Reinforced


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 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

Analytical solution of magnetothermoelastic interaction in a fiber-reinforced anisotropic material
The present paper is concerned with the investigation of the analytical solution of a fiber-reinforced anisotropic material under generalized magnetothermoelastic theory using the eigenvalue approach. Based on the Lord-Shulman theory, the formulation is applied to generalized magnetothermoelasticity with one relaxation time. Based on eigenvalue approach, exponential Fourier transform and Laplace techniques, the analytical solutions has been obtained. The inverses of ... Read more

A two-dimensional problem for a fibre-reinforced anisotropic thermoelastic half-space with energy dissipation
The theory of thermoelasticity with energy dissipation is employed to study plane waves in a fibre-reinforced anisotropic thermoelastic half-space. We apply a thermal shock on the surface of the half-space which is taken to be traction free. The problem is solved numerically using a finite element method. Moreover, the numerical solutions of the non-dimensional governing partial differential equations of the ... Read more

2018-10-02 12:04:59 Keywords finite element method, Fiber-Reinforced, initial stress,
Generalized thermoelastic interaction in a fiber-reinforced anisotropic half-space under hydrostatic initial stress
The propagation of plane waves in fiber-reinforced, anisotropic thermoelastic half-space proposed by Lord-Shulman under hydrostatic initial stress is discussed. The problem has been solved numerically using a finite element method. Numerical results for the temperature distribution, the displacement components and the thermal stress are given and illustrated graphically. Comparisons are made with the results predicted by the theory of generalized ... Read more

2018-10-02 12:34:02 Keywords Fiber-Reinforced, finite element method, Thermal shock,
A GN model for thermoelastic interaction in an unbounded fiber-reinforced anisotropic medium with a circular hole
In this work, we have constructed the equations for generalized thermoelasticity of an unbounded fiber-reinforced anisotropic medium with a circular hole. The formulation is applied in the context of Green and Naghdi (GN) theory. The thermoelastic interactions are caused by (I) a uniform step in stress applied to the boundary of the hole with zero temperature change and (II) a ... Read more

2018-10-02 12:38:50 Keywords Fiber-Reinforced, Finite Element Analysis,
Two-temperature green and Naghdi model on thermoelastc interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole
The present work is aimed at the study of thermoelastic interactions in an infinite fibre-reinforced anisotropic plate containing a circular hole in the context of a theory of generalized thermoelasticity in which the theory of heat conduction in deformable bodies depends on two different temperatures-conductive temperature and dynamic temperature. The two-temperature generalized thermoelastic model and one-temperature generalized thermoelastic model are ... Read more

2018-10-02 12:52:07 Keywords thermal relaxation time, Fiber-Reinforced,
Two-temperature generalized thermoelastic interaction in an infinite fiber-reinforced anisotropic plate containing a circular cavity with two relaxation times
In this work, a mathematical model of two-temperature generalized thermoelasticity with two relaxation times for an infinite fiber-reinforced anisotropic plate containing a circular cavity will be constructed in the context of Youssef model (2006). As an application of the problem, a particular type of thermal source is considered and the problem is solved numerically by using a finite element method. ... Read more

Fractional order GN model on thermoelastic interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole
The present work is aimed at the study of thermoelastic interactions in an infinite fibre-reinforced anisotropic plate containing a circular hole in the context of a fractional Green and Naghdi theory of type II (fractional-type II) in which the model of heat conduction with time-fractional order. The inner surface of cavity is assumed to be stress free and is subjected ... Read more