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: voids

On the initial stress, magnetic field, voids and rotation effects on plane waves in generalized thermoelasticity

2018-10-02 12:40:48 Keywords Thermoelasticity, voids,
On the initial stress, magnetic field, voids and rotation effects on plane waves in generalized thermoelasticity
In this work, we study the effect of the magnetic field, rotation, thermal field, and the initial stress and also voids on the reflection of P-wave with one relaxation time. The formulation is applied to generalization, the Lord–Shulman theory with one relaxation time. The electromagneto-thermoelastic interactions in perfectly conducting plane is subjected to a uniform axial magnetic field with voids ... Read more

Response of thermal source in initially stressed generalized thermoelastic half-space with voids

2018-10-02 16:05:10 Keywords voids, Thermoelasticity, finite element method,
Response of thermal source in initially stressed generalized thermoelastic half-space with voids
The purpose of this research is to study the plane problem in initially stressed generalized thermoelastic half-space with voids due to thermal source. A particular type of thermal source has been taken as an application of the approach. Finite element technique has been used to solve the problem. The components of displacement, stress, temperature change and volume fraction field are ... Read more

2D deformation in initially stressed thermoelastic half-space with voids

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

Deformation Due to Thermomechanical Sources in a Homogeneous Isotropic Micropolar Thermoelastic Medium with Void

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

An Extension of the Domain of Influence Theorem for Generalized Thermoelasticity of Anisotropic Material with Voids

2018-10-02 21:05:01 Keywords voids, Anisotropic Material, Thermoelastic,
An Extension of the Domain of Influence Theorem for Generalized Thermoelasticity of Anisotropic Material with Voids
The domain of influence theorem is extended to cover the generalized thermoelasticity of anisotropic bodies with voids in the context of Lord-Shulman and Green-Lindsay theories. We prove that for a finite time t > 0 the displacement field u i , the change in volume fraction  and the temperature T generate no disturbance outside a bounded domain B t ... Read more

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