Journal ArticleDOI
Analytical solution of fractional order heat equation under the effects of variable thermal conductivity during photothermal excitation of spherical cavity of semiconductor medium
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In this article, the fractional model of heat equation in a semiconductor elastic medium with a spherical cavity is given, and the model is studied in one dimension with the influence of var...Abstract:
In this investigation, the fractional model of heat equation in a semiconductor elastic medium with a spherical cavity is given. The model will be studied in one dimension with the influence of var...read more
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Analytical solutions of time-fractional heat order for a magneto-photothermal semiconductor medium with Thomson effects and initial stress
Amr M. S. Mahdy,Amr M. S. Mahdy,Kh. Lotfy,Kh. Lotfy,E.A. Ismail,Alaa A. El-Bary,M.H. Ahmed,M.H. Ahmed,A.A.A. El-dahdouh +8 more
TL;DR: The influence of hydrostatic initial stress in the context of the time-fractional heat order equation is investigated in this paper, and the influence of the Thomson influence appears due to the strong magnetic field.
Journal ArticleDOI
Modified Green–Lindsay model on the reflection and propagation of thermoelastic plane waves at an isothermal stress-free surface
TL;DR: In this article, the reflection and propagation of thermoelastic harmonic plane waves from the stress-free and isothermal surface of a homogeneous, isotropic thermally conducting elastic half-space in the frame of the modified Green-Lindasy (MGL) theory of generalized thermelasticity with strain rate was studied.
Journal ArticleDOI
Characterization of the photothermal interaction of a semiconducting solid sphere due to the mechanical damage and rotation under Green-Naghdi theories
Hamdy M. Youssef,Alaa A. El-Bary +1 more
TL;DR: In this article, a new mathematical model of a thermoelastic semiconducting solid sphere based on the Green-Naghdi theories was proposed to study the photothermal interaction.
Journal ArticleDOI
A study on photo-thermo-elastic wave in a semi-conductor material caused by ramp-type heating
TL;DR: In this article, a mathematical model of the Green-Naghdi photo-thermoelastic model due to ramp-type heating is presented to study the photo- thermo-elastic waves in a two-dimensional semi-conductor material.
Journal ArticleDOI
Characterization of the Photothermal Interaction of a Semiconducting Solid Sphere Due to the Fractional Deformation, Relaxation Time, and Various Reference Temperature under L-S Theory
TL;DR: In this article, the authors constructed a new mathematical model of a thermoelastic semiconducting solid sphere based on the L-S model to study the photothermal interaction, and the numerical results of the temperature increment, carrier density increment, strain, displacement, stress, and stress-strain energy have been represented in figures with various values of the fractionalorder parameter, relaxation time parameter, and reference temperature.
References
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Journal ArticleDOI
A generalized dynamical theory of thermoelasticity
TL;DR: In this article, a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of heat flow.
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Thermoelasticity and Irreversible Thermodynamics
TL;DR: In this article, a unified treatment of thermoelasticity by application and further developments of the methods of irreversible thermodynamics is presented, along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement.
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Applications of photoacoustic sensing techniques
TL;DR: In this article, the theory and applications of photo-acoustic (also called optoacoustic) methods belonging to the more general area of photothermal measurement techniques are reviewed, covering excitation of gaseous or condensed samples with modulated continuous light beams or pulsed light beams.
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A method for the numerical inversion of Laplace transforms
TL;DR: A numerical inversion method for Laplace transforms, based on a Fourier series expansion developed by Durbin [5], is presented in this article, where the disadvantage of the inversion methods of that type, the encountered dependence of discretization and truncation error on the free parameters, is removed by the simultaneous application of a procedure for the reduction of the Discretization error, a method for accelerating the convergence of the Fourier Series and a procedure that computes approximately the "best" choice of the free parameter.
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Hyperbolic Thermoelasticity: A Review of Recent Literature
TL;DR: In this paper, a review of contributions to the theory of thermoelasticity with thermal relaxation and the temperature-rate dependent thermodynamic properties is presented, and a glance is made at the new theory which includes the so-called dual-phase-lag effects.