ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

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Two-temperature photothermal interactions in a semiconducting material with a 3D spherical cavity

2018 | Keywords Two-temperature, photothermal, semiconductor, 3D spherical cavity,
Two-temperature photothermal interactions in a semiconducting material with a 3D spherical cavity
In this paper, a two-temperatures photothermoelastic interactions in an infinite semiconductor medium with a spherical cavity were studied using mathematical methods. The cavity internal surface is traction free and the carrier density is photogenerated by boundary heat flux with an exponentially decaying pulse. Laplace transform techniques are used to obtain the exact solution of the problem in the transformed domain ... Read more

Analytical Solutions of Plasma and Thermoelastic Waves Photogenerated by a Focused Laser Beam in a Semiconductor Material

2018 | Keywords semiconductor, Thermoelastic Waves, Analytical solutions, plasma,
Analytical Solutions of Plasma and Thermoelastic Waves Photogenerated by a Focused Laser Beam in a Semiconductor Material
In the present work, the coupled plasma theory (thermally and elasticity waves) was used to study the wave propagation of semiconducting sample through photothermal process. The coupled of the plasma, thermally, and elastic waves that photo-generated through intensity modulated laser beam and tightly focused has been considered to study an elastic homogeneous semiconducting medium with isotropic thermo-elastic properties. Laplace transformations ... Read more

A mode I crack problem for a thermoelastic fibre-reinforced anisotropic material using finite element method

2018 | Keywords Anisotropic Material, fibre-reinforced, crack, finite element method,
A mode I crack problem for a thermoelastic fibre-reinforced anisotropic material using finite element method
In this article, the theory of generalized thermoelasticity with one relaxation time is used to investigate the thermoelastic fiber-reinforced anisotropic material with a finite linear crack. The crack boundary is due to a prescribed temperature and stress distribution. By using the finite element method, the numerical solutions of the components of displacement, temperature and the stress components have been obtained. ... Read more

Fractional order photo-thermo-elastic waves in a two-dimensional semiconductor plate

2018 | Keywords fractional order theory, photo-thermo-elastic, Two-Dimensional, semiconductor,
Fractional order photo-thermo-elastic waves in a two-dimensional semiconductor plate
This paper is devoted to the investigation of fractional order photo-thermo-elastic waves in a two-dimensional semiconductor using the eigenvalues approach. The formulations applied are based on the fractional order generalized thermo-elasticity in the context of the new model of heat conduction. The bounding surface of the plate is taken to be stress-free and exposed to a heat flux with the ... Read more

Analytical and Numerical Solution of 2D Problem for Transversely Isotropic Generalized Thermoelastic Medium with Green-Naghdi Model II

2018 | Keywords Analytical and Numerical Solut, Transversely Isotropic, Green-Naghdi Model II,
Analytical and Numerical Solution of 2D Problem for Transversely Isotropic Generalized Thermoelastic Medium with Green-Naghdi Model II
In this paper, a comparison was made between the analytical and numerical solution of a two-dimensional problem for a transversely isotropic generalized thermoelastic medium. The study is carried out in the context of generalized thermoelasticity proposed by Green and Naghdi's theory of type II. The problem has been solved analytically using the normal mode method with the eigenvalue approach and ... Read more

A study on fractional order theory in thermoelastic half-space under thermal loading

2018 | Keywords fractional order theory, thermal loading, Thermoelasticity,
A study on fractional order theory in thermoelastic half-space under thermal loading
In this study, the effect of fractional order derivative on a two-dimensional problem due to thermal shock with weak, normal and strong conductivity is established. The governing equations are taken in the context of Green and Naghdi of type III model (GNIII model) under fractional order derivative. Based on the Laplace and exponential Fourier transformations with eigenvalues approach, the analytical ... Read more

Photo-thermal-elastic interaction in an unbounded semiconducting medium with spherical cavity due to pulse heat flux

2018 | Keywords eigenvalue approach, Thermoelasticity, semiconductor,
Photo-thermal-elastic interaction in an unbounded semiconducting medium with spherical cavity due to pulse heat flux
In this work, the photothermal waves in an unbounded semiconducting medium with spherical cavity are studied. This problem is solved using the theory of coupled plasma, thermal, and elastic wave. An unbounded material, elastic semiconductor containing a spherical cavity with isotropic and homogeneous thermal and elastic properties has been considered. The inner surface of the cavity is taken traction-free and ... Read more

Finite Element Analysis of Thermoelastic Fiber-Reinforced Anisotropic Hollow Cylinder with Dual-Phase-Lag Model

2018 | Keywords Finite Element Analysis, Thermoelastic, Fiber-Reinforced, Hollow Cylinde, Dual-phase-lag model,
Finite Element Analysis of Thermoelastic Fiber-Reinforced Anisotropic Hollow Cylinder with Dual-Phase-Lag Model
In the present paper, we have constructed the equations for generalized thermoelasticity of a fiber-reinforced anisotropic hollow cylinder. The formulation is applied in the context of dualphase-lag model. An application of hollow cylinder is investigated for the outer surface is traction free and thermally isolated, while the inner surface is traction free and subjected to thermal shock. The problem is ... Read more

A Green-Naghdi Model in a 2D Problem of a Mode I Crack in an Isotropic Thermoelastic Plate

2018 | Keywords crack, Green-Naghdi Model, Thermoelastic Plate,
A Green-Naghdi Model in a 2D Problem of a Mode I Crack in an Isotropic Thermoelastic Plate
In this article, the generalized thermoelastic theory under Green and Naghdi models are used to study the thermoelastic interaction in an isotropic material containing a finite crack inside the material. The crack boundary is due to a prescribed temperature and stress distribution. Based on the Green-Naghdi type II and type III models, the formulation is applied to generalized thermoelasticity with ... Read more

Free Vibrations of Nanoscale Beam Under Two-Temperature Green and Naghdi Model

2018 | Keywords Two-temperature, Green and Naghdi Model, nanoscale beam, Free Vibrations,
Free Vibrations of Nanoscale Beam Under Two-Temperature Green and Naghdi Model
The influence of the coupling between strain rate and temperature becomes domineering in the nanoscale beam. In this work, the free vibration of nanoscale beam resonators is analysed using Green and Naghdi's theorem under the two-temperature model (2TGNIII). The influence of two-temperature parameters in a nanoscale beam is studied for beams under simply supported conditions. Exact expressions for frequency shift ... Read more