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The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories

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Chinese Physics B 2012年第6期21卷 264-275页

作者： kh.lotfy Department of Mathematics Faculty of ScienceZagazig UniversityZagazigP.O.Box 44519Egypt Department of Mathematics Faculty of Science and ArtsAl-mithnabQassim UniversityP.O.Box 931Buridah 51931Al-mithnabKingdom of Saudi Arabia

In the present paper, we introduce the coupled theory （CD）, Lord-Schulman （LS） theory, and Green-Lindsay （GL） theory to study the influences of a magnetic field and rotation on a two-dimensional problem of fibre-reinforced thermoelasticity. The material is a homogeneous isotropic elastic half-space. The method applied here is to use normal mode analysis to solve a thermal shock problem. Some particular cases are also discussed in the context of the problem. Deformation of a body depends on the nature of the force applied as well as the type of boundary conditions. Numerical results for the temperature, displacement, and thermal stress components are given and illustrated graphically in the absence and the presence of the magnetic field and rotation.

关键词： Lord-Schulman theory Green-Lindsay theory coupled theory reinforcement rotation,magnetic field

The effect of rotation on plane waves in generalized thermo-microstretch elastic solid with one relaxation time for a mode-I crack problem

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Chinese Physics B 2011年第7期20卷 266-278页

作者： kh.lotfy Mohamed I.A.Othman Department of Mathematics Faculty of ScienceZagazig UniversityP.O.Box 44519ZagazigEgypt Department of Mathematics Faculty of SciencealmithnabQassim UniversityP.O.Box 6666AlmithnabKingdom of Saudi Arabia

The present paper is aimed at studying the effect of rotation on the general model of the equations of the generalized thermo-microstretch for a homogeneous isotropic elastic half-space solid, whose surface is subjected to a Mode-I crack problem. The problem is studied in the context of the generalized thermoelasticity Lord Shulman＇s （L-S） theory with one relaxation time, as well as with the classical dynamical coupled theory （CD）. The normal mode analysis is used to obtain the exact expressions for the displacement components, the force stresses, the temperature, the couple stresses and the microstress distribution. The variations of the considered variables through the horizontal distance are illustrated graphically. Comparisons of the results are made between the two theories with and without the rotation and the microstretch constants.

关键词： Lord-Shulman＇s theory thermoelasticity microrotation microstretch

Mode-I crack in a two-dimensional fibre-reinforced generalized thermoelastic problem

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Chinese Physics B 2012年第1期21卷 244-253页

作者： kh.lotfy Department of Mathematics Faculty of ScienceZagazig UniversityZagazig P.O.Box 44519Egypt Department of Mathematics Faculty of Science and ArtsAl-mithnabQassim UniversityP.O.Box 931Buridah 51931Al-mithnabKingdom of Saudi Arabia

A general model of the equations of the Lord-Sulman theory including one relaxation time and the Green-Lindsay theory with two relaxation times, as well as the classical dynamical coupled theory, are applied to the study of the influence of reinforcement on the total deformation for an infinite space weakened by a finite linear opening mode- I crack. We study the influence of reinforcement on the total deformation of rotating thermoelastic half-space and their interaction with each other. The material is homogeneous isotropic elastic half space. The crack is subjected to prescribed temperature and stress distributions. The normal mode analysis is used to obtain the exact expressions for displacement components, force stresses, and temperature. The variations of the considered variables with the horizontal distance are illustrated graphically. Comparisons are made with the results obtained in the three theories with and without rotation. A comparison is also made between the two theories for different depths.

关键词： mode-I crack Lord -Sulman theory thermoelasticity normal mode analysis.

The Hyperbolic Two Temperature Semiconducting Thermoelastic Waves by Laser Pulses

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Computers, Materials & Continua 2021年第6期67卷 3601-3618页

作者： Ismail M.Taye kh.lotfy A.A.El-Bary Jawdat Alebraheem Sadia Asad Department of Mathematics College of Science Al-ZulfiMajmaah University11952Saudi Arabia Department of Mathematics Faculty of ScienceZagazig UniversityZagazigEgyp t 3Arab Academy for Science Technology and Maritime TransportAlexandriaEgypt Department of Mathematics Faculty of ScienceTaibah UniversityMadinahSaudi Arabia National Committee for Mathematics Academy of Scientific Research and TechnologyCairoEgypt

A novel model of a hyperbolic two-temperature theory is investigated to study the propagation the thermoelastic waves on semiconductor materials.The governing equations are studied during the photo-excitation processes in the context of the photothermal theory.The outer surface of o semiconductor medium is illuminated by a laser pulse.The generalized photo-thermoelasticity theory in two dimensions(2D)deformation is used in many models(Lord–Shulman(LS),Green–Lindsay(GL)and the classical dynamical coupled theory(CD)).The combinations processes between the hyperbolic two-temperature theory and photo-thermoelasticity theory under the effect of laser pulses are obtained analytically.The harmonic wave technique is used to obtain the exact solutions of the main physical fields under investigation.The mechanical,thermal and recombination plasma loads are applied at the free surface of the medium to obtain the complete solutions of the basic physical fields.Some comparisons are made between the three thermoelastcity theories under the electrical effect of thermoelectric coupling parameter.The influence of hyperbolic two-temperature,two-temperature and one temperature parameters on the distributions of wave propagation of physical fields for semiconductor silicon(Si)medium is shown graphically and discussed.

关键词： Photo-thermo-elasticity theory semiconductors laser pulses hyperbolic two temperature harmonic waves thermo-elastic waves