ibrabbas7

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: finite element method

Two-temperature generalized thermoelasticity under ramp-type heating by finite element method

2018-10-02 12:37:05 Keywords finite element method, Thermoelasticity,
Two-temperature generalized thermoelasticity under ramp-type heating by finite element method
In this work, a general finite element model is proposed to analyze transient phenomena in thermoelastic half-space filled with an elastic material, which has constant elastic parameters. The governing equations are taken in the context of the two-temperature generalized thermoelasticity theory (Youssef in IMA J. Appl. Math. 71(3):383–390, 2006). A linear temperature ramping function is used to more realistically model ... Read more

Comparison study between the effects of different terms contributing to viscous dissipation in saturated porous media

2018-10-02 12:35:36 Keywords finite element method, Porous medium,
Comparison study between the effects of different terms contributing to viscous dissipation in saturated porous media
Some sort of controversy is associated with the problem of viscous dissipation in saturated porous media for which we try to present a comparison study between the influences of the different terms contributing to this phenomenon. We consider viscous dissipation by studying the case of semi-infinite flat plate embedded in saturated porous medium and is kept at constant, higher temperature ... Read more

Thermoelastic interaction in a thermally conducting cubic crystal subjected to ramp-type heating

2018-10-02 17:12:01 Keywords cubic crystal, Thermoelastic, finite element method,
Thermoelastic interaction in a thermally conducting cubic crystal subjected to ramp-type heating
In this paper, the thermoelastic interactions in a homogeneous, thermally conducting cubic crystal, elastic half-plane has been studied. A linear temperature ramping function is used to more realistically model. The general solution obtained is applied to a specific problem of a half space subjected to ramp-type heating. The components of displacement, stresses, and temperature distribution are obtained by applying a ... Read more

A study of generalized thermoelastic interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole

2018-10-02 08:30:47 Keywords anisotropic, fibre-reinforced, circular hole, Thermoelasticity, finite element method,
A study of generalized thermoelastic interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole
Materials such as resins reinforced by strong aligned fibres exhibit highly anisotropic elastic behaviour in a sense that their elastic moduli for extension in the fibre direction are frequently of the order of 50 or more times greater than their elastic moduli in transverse extension or in shear. The mechanical behaviour of many fibre-reinforced composite materials is adequately modelled by ... Read more

Finite element analysis in a rotating thermoelastic half-space with diffusion

2018-10-02 16:28:31 Keywords half-space, Thermoelastic Diffusions, finite element method,
Finite element analysis in a rotating thermoelastic half-space with diffusion
A thermal shock problem of rotating generalized thermoelastic half-space with diffusion is considered. The governing equations of the model are reduced in xy-plane in terms of non-dimensional quantities. The corresponding finite element equations are obtained, the solutions of which are subjected to required initial and boundary conditions. Using finite element method, the distributions of displacement components, stress components, temperature, chemical ... Read more

Analytical-Numerical Solution of Thermoelastic Problem in a Semi-Infinite Medium under Green and Naghdi Theory

2018-10-02 12:21:15 Keywords Green and Naghdi Theory, Analytical-Numerical Solution, finite element method, Thermoelasticity,
Analytical-Numerical Solution of Thermoelastic Problem in a Semi-Infinite Medium under Green and Naghdi Theory
Abstract—The present work is aimed at the study the analytical and numerical solutions of thermoelastic problem in a semi-infinite medium in the context of the Green and Naghdi theory of type III. The governing equations are expressed in Laplace transform domain and solved in the domain by analytical method and finite element method. The solutions of the problem in the ... Read more

A nonlinear generalized thermoelasticity model of temperature-dependent materials using finite element method

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

Response of thermal source in a transversely isotropic thermoelastic half-space with mass diffusion by using a finite element method

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

Fundamental solution of generalized thermo-viscoelasticity using the finite element method

2018-10-02 12:08:24 Keywords finite element method, thermo-viscoelasticity, Thermoelasticity,
Fundamental solution of generalized thermo-viscoelasticity using the finite element method
The present paper is aimed at an investigation of the temperature, displacement, and stress in a viscoelastic half space of Kelven–Voigt type. The formulation is applied according to three theories of generalized thermoelasticity: Lord–Shulman with one relaxation time, Green–Lindsay with two relaxation times, as well as the coupled theory. The nondimensional governing equations are solved by the finite element method. ... Read more

Generalized thermoelastic interaction in a fiber-reinforced anisotropic half-space under hydrostatic initial stress

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