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: Thermoelasticity


2018-10-02 16:07:30 Keywords fractional order thermoelastic, Thermoelasticity,
A problem on functional graded material under fractional order theory of thermoelasticity
The present work is concerned with the solution of a problem on fractional order theory of thermoelasticity for a functional graded material. The governing equations of fractional order generalized thermoelasticity with one relaxation time for functionally graded materials (FGM) (i.e. material with spatially varying material properties) are established. These equations are expressed in Laplace transform domain. The analytical solution in ... Read more

A generalized thermoelasticity problem of an annular cylinder with temperature-dependent density and material properties
In this paper, the problem of generalized thermoelasticity with one relaxation time for an infinite annular cylinder of temperature dependent physical properties is discussed. Both the inner and outer curved surfaces of the cylinder are considered stress free. The inner surface is subjected to decaying with time and temperature whereas the outer surface is maintained at a reference temperature. A ... Read more

2018-10-02 21:34:31 Keywords Thermoelasticity, deformation, voids,
2D deformation in initially stressed thermoelastic half-space with voids
The present investigation is to study the plane problem in initially stressed thermoelastic half-space with voids due to thermal source. Lord-Shulman (Lord and Shulman 1967) theory of thermoelasticity with one relaxation time has been used to investigate the problem. A particular type of thermal source has been taken as an application of the approach. Finite element technique has been used ... Read more

2018-10-02 21:32:37 Keywords energy dissipation, dipolar bodies, Thermoelasticity,
Evolution of solutions for dipolar bodies in Thermoelasticity without energy dissipation
The aim of our paper is the study of the spatial evolution of vibrations in the context of Thermoelasticity without energy dissipation for dipolar bodies. Once we get an a priori estimate for the amplitude of the vibration, which are assumed being harmonic in time, it is possible to predict some spatial decay or growth properties for the amplitude, provided ... Read more

Analytical Solution of Thermoelastic Damping in a Nanoscale Beam using the Fractional Order Theory of Thermoelasticity
In this paper, we study the generalized thermoelastic vibration of a bounded nano-beam resonator under fractional order theory of thermoelasticity. The theory of generalized thermoelasticity with one relaxation time can be established in the limit as the special cases of the present model. The effect of fractional parameter is investigated on the nano-beam resonator for beams with clamped ends. Analytical ... Read more

2018-10-02 21:13:49 Keywords Thermoelasticity, three dimensional, relaxation time,
Deformation in three dimensional thermoelastic medium with one relaxation time
The present investigation concerned with deformation in three dimensional thermoelastic medium due to thermal source by finite element method. A particular type of thermal source has been taken to illustrate the utility of the approach. The components of displacement, stress and temperatutre change are obtained and depicted graphically for a specific model. 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

The effect of magnetic field on thermal shock problem for a fiber-reinforced anisotropic half-space using Green-Naghdi's theory
This article presents a two-dimensional problem of generalized thermoelasticity for a fiber-reinforcement anisotropic half-space under a thermal shock at its upper surface. The effects of initial stress and rotation are both studied. Green and Naghdi's theory of thermoelasticity is employed to study the present problem. The inclusion of reinforcement anisotropic elastic parameter is made and two additional terms are added ... Read more

Analytical-Numerical solution of thermoelastic interactions in a semi-infinite medium with one relaxation time
Analytical and numerical solutions are two basic tools in the study of thermoelastic interactions problems in anisotropic media. This paper is devoted to a study of the thermoelastic interactions in a semi-infinite medium in the context of the theory of generalized thermoelasticity with one relaxation time (Lord and Shulman's theory). The governing equations are expressed in Laplace transform domain and ... Read more

2018-10-02 16:38:59 Keywords Fractional orde, thermal conductivity., Thermoelasticity,
Fractional order generalized thermoelasticity with variable thermal conductivity.
In this work, the consideration of variable thermal conductivity as a linear function of temperature has been taken into account in the context of fractional order generalized thermoelasticity (Youssef's model). The governing equations have been derived and used to solve the one-dimensional problems of an elastic half-space. The solution has been induced in the Laplace transform domain and applying for ... Read more