ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

307

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Publications Which contain the keyword: Thermoelasticity


2018-10-02 12:14:24 Keywords finite element method, Thermoelasticity,
Response of thermal source in a transversely isotropic thermoelastic half-space with mass diffusion by using a finite element method
The two-dimensional problem of generalized thermoelastic diffusion material with thermal and diffusion relaxation times is investigated in the context of the Lord—Shulman theory. 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. The components of displacement, stress, temperature distribution, chemical potential, and mass ... Read more

2018-10-02 12:12:03 Keywords Thermoelasticity, finite element method,
A nonlinear generalized thermoelasticity model of temperature-dependent materials using finite element method
In this article, a general finite element method (FEM) is proposed to analyze transient phenomena in a thermoelastic model in the context of the theory of generalized thermoelasticity with one relaxation time. The exact solution of the nonlinear model of the thermal shock problem of a generalized thermoelastic half-space of temperature-dependent materials exists only for very special and simple initial- ... Read more

2018-10-02 12:10:19 Keywords Thermoelasticity,
Generalized thermoelasticity of thermal-shock problem in a non-homogeneous isotropic hollow cylinder with energy dissipation
A solution of a thermal-shock problem of generalized thermoelasticity of a non-homogeneous isotropic hollow cylinder using a finite-element method is developed. The formulation is applied to the generalized thermoelasticity based on the Green and Naghdi (GN) theory of type II and type III by an appropriate choice of parameters. The problem has been solved numerically using a finite-element method. Numerical ... 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

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

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

LS model on thermal shock problem of generalized magneto-thermoelasticity for an infinitely long annular cylinder with variable thermal conductivity
In the present paper, an estimation is made to investigate the transient phenomena in magneto-thermoelastic model in the context of the theory of generalized thermoelasticity LS model with variable thermal conductivity. FEM is proposed to analyze the problem and obtain the numerical solutions for the displacement, temperature, and radial and hoop stresses. The boundary conditions for the mechanical and Maxwell’s ... Read more

2018-10-02 13:14:39 Keywords nonlinear, finite element method, Thermoelasticity,
Nonlinear Transient Thermal Stress Analysis of Temperature-Dependent Hollow Cylinders Using a Finite Element Model
In this paper, the nonlinear transient thermal stress analysis is conducted for temperature-dependent hollow cylinders subjected to a decaying-with-time thermal field. By the finite element method, the highly nonlinear governing equations are solved. The time histories of temperature, displacement, and stress due to the decaying-with-time thermal load are computed. A sensitivity analysis includes the effects of exponent of the decayed ... Read more

Finite element method of thermal shock problem in a non-homogeneous isotropic hollow cylinder with two relaxation times
A solution of thermal shock problem of generalized thermoelasticity of a non-homogeneous isotropic hollow cylinder using finite element method is developed. Lord–Shulman and Green–Lindsay for the generalized thermoelasticity model are selected for that purpose which reduces to the classical model by appropriate choice of the parameters. The problem has been solved numerically using a finite element method (FEM). Numerical results ... Read more

2018-10-02 13:10:07 Keywords nonlinear, Thermoelasticity, finite element method,
Nonlinear transient thermal stress analysis of thick-walled FGM cylinder with temperature-dependent material properties
In this paper, the problem of generalized thermoelasticity in a thick-walled FGM cylinder with one relaxation time is presented. The material properties are taking as function of temperature and graded in the radial. Due to the nonlinearity of the governing equations, finite element method is adopted to solve such problem. Both the inner and outer curved surfaces of the cylinder ... Read more