ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

307

Like
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

Generalized thermoelastic interactions in a hollow cylinder with temperature-dependent material properties
In the present work, the generalized thermoelastic interactions in a hollow cylinder with one relaxation time are considered. The modulus of elasticity are taking as function of temperature. Due to the nonlinearity of the governing equations, finite element method is adopted to solve such problem. The exact solution in the case of temperature-independent is discussed explicitly. Numerical results for the ... Read more

Fractional Order Generalized Thermoelasticity in an Unbounded Medium with Cylindrical Cavity
This paper is concerned with the investigation of the temperature, displacement, and stresses due to thermal shock loading on the inner surface cavity in an infinite medium with a cylindrical cavity. The governing equations will be taken into the context of the fractional order generalized thermoelasticity theory. In the Laplace transform domain, the form of a vector-matrix differential equation has ... Read more

Generalized thermoelastic diffusion in a nanoscale beam using eigenvalue approach
In this paper, the effect of mass diffusion in a thermoelastic nanoscale beam in context Lord and Shulman theory is studied. The analytical solution in the Laplace domain is obtained for lateral deflection, temperature, displacement, concentration, stress and chemical potential. The both ends of the nanoscale beam are simply supported. The basic equations have been written in the form of ... Read more

Exponential Stability of Markovian Jumping Cohen-Grossberg Neural Networks with Mixed Mode-Dependent Time-Delays
In this paper, the exponential stability problem is investigated for a class of Cohen–Grossberg neural networks with Markovian jumping parameter and mixed time-delays. The mixed time-delays under consideration consist of both the mode-dependent discrete time-delays and the mode-dependent distributed time-delays. By constructing a new Lyapunov–Krasovskii functional and employing the stochastic analysis techniques, sufficient conditions are proposed to guarantee that the ... Read more

Existence and asymptotic behavior results of periodic solution for discrete-time neutral-type neural networks
A generalized discrete neutral-type neural network with time-varying delays is studied. The existence results of periodic solution for the above neural networks are obtained by using Mawhin׳s continuation theorem of coincidence degree theory, and sufficient conditions are given to guarantee global exponential stability of periodic solution. Finally, a numerical example is given to show the effectiveness of the results in ... Read more

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

2016 | 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

Eigenvalue approach to fractional order thermoelasticity for an infinite body with a spherical cavity
In this article, we consider the problem of a thermoelastic infinite body with a spherical cavity in the context of the theory of fractional order thermoelasticity. The inner surface of the cavity is taken traction free and subjected to a thermal shock. The form of a vector–matrix differential equation has been considered for the governing equations in the Laplace transform ... Read more

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