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: Thermal shock


Eigenvalue Approach in a Generalized Thermal Shock Problem for a Transversely Isotropic Half-Space
In the present work, the investigating of the disturbances in a homogeneous, transversely isotropic elastic medium with generalized thermoelastic theory has been concerned. The formulation is applied to generalized thermoelasticity based on three different theories. Laplace and Fourier transforms are used to solve the problem analytically. The essential equations have been written as a vector-matrix differential equation in the Laplace ... Read more

2018-10-01 17:54:52 Keywords Thermoelasticity, Thermal shock, thermal conductivity,
Thermal shock problem of generalized thermoelasticity for an infinitely long annular cylinder with variable thermal conductivity
In this paper, a general finite element model is proposed to analyze transient phenomena in thermoelastic model in the context of the theory of generalized thermoelasticity with one relaxation time with variable thermal conductivity. An application of an infinitely long annular cylinder was studied, where the inner surface is traction free and subjected to thermal shock, while the outer surface ... Read more

2018-10-02 11:45:10 Keywords Thermal shock, Hollow Cylinder, Thermoelasticity,
Generalized thermoelasticity of the thermal shock problem in an isotropic hollow cylinder and temperature dependent elastic moduli
In this paper, we construct the equations of generalized thermoelasticity for a non-homogeneous isotropic hollow cylider with a variable modulus of elasticity and thermal conductivity based on the Lord and Shulman theory. The problem has been solved numerically using the finite element method. Numerical results for the displacement, the temperature, the radial stress, and the hoop stress distributions are illustrated ... 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

Thermal shock problem in a homogeneous isotropic hollow cylinder with energy dissipation
In this work, we constructed the equations of generalized thermoelasticity of a homogeneous isotropic hollow cylinder. The formulation is applied in the context of the Green and Naghdi theory of types II and III. The material of the cylinder is assumed to be homogeneous isotropic both mechanically and thermally. The problem has been solved numerically using a finite-element method. Numerical ... Read more

2018-10-02 16:30:55 Keywords magnetic field, Thermal shock, anisotropic, Fiber-Reinforced,
Thermal shock problem for a fiber-reinforced anisotropic half-space placed in a magnetic field via GN model
The generalized magneto-thermoelasticity theory, based on Green–Naghdi model, is used to study the thermal shock problem of a fiber-reinforced anisotropic half-space. The solid half-space deforms because of thermal shock, and due to the application of the magnetic field. Maxwell’s equations are formulated and the generalized coupled governing equations are derived. Finite element method with the Laplace transform technique is used ... Read more

2018-10-01 18:44:43 Keywords Finite Element Analysis, Thermal shock, Thermoelasticity,
Finite element analysis of the thermoelastic interactions in an unbounded body with a cavity
Thermoelastic interactions in an infinite homogeneous elastic medium with a spherical or cylindrical cavity are studied. The cavity surface is subjected to a ramp-type heating of its internal boundary which is assumed to be traction free. A general finite element model is proposed to analyze transient phenomena in thermoelastic solids. Lord–Shulman and Green–Lindsay for the generalized thermoelasticity model are selected ... Read more