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

Youssef, Hamdy M.; El-Bary, Alaa A.

doi:10.1007/s12633-020-00631-x

Cited by 6 publications

(5 citation statements)

References 29 publications

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“…The hyperbolic two-temperature heat conduction equations take the forms [3,13,14]. The heat conduction equations which have been proposed by Green-Naghdi take the following form [29]:…”

Section: The Problem Formulationmentioning

confidence: 99%

“…However, there won't be any research on that theory before Youssef updates it and develops a two-temperature generalized thermostat model [6]. Youssef and many other authors applied this concept in several applications and enquiries [7][8][9][10][11][12][13]. Youssef and El-Bary validated the two-temperature generalized thermoelasticity model, although it does not give a fixed speed for thermal wave propagation [14].…”

Section: Introductionmentioning

confidence: 99%

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Influence of the fractional-order strain on an infinite material with a spherical cavity under Green-Naghdi hyperbolic two-temperature thermoelasticity theory

Youssef¹,

Alghamdi²

2023

J., eng., them. sci.

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In this work, a novel mathematical model of thermoelastic, homogenous, isotropic, and infinite medium with a spherical cavity has been constructed. Under the hyperbolic two-temperature Green-Naghdi theory of thermoelasticity type-I and type-III with fractional-order strain, the governing equations have been established. The bounding surface of the cavity has been thermally loaded by a ramp-type heat and is connected to a rigid foundation which prevents volumetric strain. Different values of the fractional-order and two-temperature parameters have shown numerical results for the dynamical and conductive temperature increment, strain, displacement, and average of principal stresses, which are graphically applicable to all the functions studied. The fractional-order parameter has significant effects on stress and strain distributions, while it has a limited effect on the dynamical and conductive temperatures increment. The hyperbolic two-temperature parameter has significant effects on all studied functions based on Green-Naghdi models of type-1 and type-II. Moreover, the ramp-time heat parameter has a significant impact on all the studied functions under all the studied models of thermoelasticity.

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“…The hyperbolic two-temperature heat conduction equations take the forms [3,13,14]. The heat conduction equations which have been proposed by Green-Naghdi take the following form [29]:…”

Section: The Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Influence of the fractional-order strain on an infinite material with a spherical cavity under Green-Naghdi hyperbolic two-temperature thermoelasticity theory

Youssef¹,

Alghamdi²

2023

J., eng., them. sci.

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“…Abbas and Hobiny [20] have applied the finite difference scheme to investigate the photothermal interaction in a semiconductor medium. Youssef and El-Bary [21] have discussed the characterizations of the photothermal interaction of a semiconducting solid sphere caused by the fractional deformations, the thermal delay times and various references temperature under Lord and Shoulman's theory. Lotfy et al [22] have investigated the photothermal excitations process with the hyperbolic two-temperature model for magneto-thermoelastic semiconductor materials.…”

Section: Introductionmentioning

confidence: 99%

The Influences of the Hyperbolic Two-Temperatures Theory on Waves Propagation in a Semiconductor Material Containing Spherical Cavity

2022

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This article focuses on the study of redial displacement, the carrier density, the conductive and thermodynamic temperatures and the stresses in a semiconductor medium with a spherical hole. This study deals with photo-thermoelastic interactions in a semiconductor material containing a spherical cavity. The new hyperbolic theory of two temperatures with one-time delay is used. The internal surface of the cavity is constrained and the density of carriers is photogenerated by a heat flux at the exponentially decreasing pulse boundaries. The analytical solutions by the eigenvalues approach under the Laplace transformation approaches are used to obtain the solution of the problem and the inversion of the Laplace transformations is performed numerically. Numerical results for semiconductor materials are presented graphically and discussed to show the variations of physical quantities under the present model.

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“…Abbas et al investigated photo-thermal-elastic interactions in an unbounded semiconductor media containing a cylindrical hole under a hyperbolic two-temperature model [12]. Youssef solved some applications of an infinite thermoelastic spherical medium subjected to a moving heat source, fractional strain, rotation, and mechanical damage [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Diagonalization Method to Hyperbolic Two-Temperature Generalized Thermoelastic Solid Sphere under Mechanical Damage Effect

Al-Lehaibi

2021

Crystals

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This study is the first to use the diagonalization method for the new modelling of a homogeneous, thermoelastic, and isotropic solid sphere that has been subjected to mechanical damage. The fundamental equations were derived using the hyperbolic two-temperature generalized thermoelasticity theory with mechanical damage taken into account. The outer surface of the sphere has been assumed to have been shocked thermally without cubical dilatation. The numerical results for the dynamical and conductive temperatures increment, strain, displacement, and average of the principal stresses components have been represented graphically with different values of the hyperbolic two-temperature parameter and mechanical damage parameters. The two-temperature model parameter and the mechanical damage parameter have significant effects. The propagations of the thermomechanical waves take place at finite speeds in the context of the hyperbolic two-temperature theory as well as in the usual context of the Lord–Shulman theory with one-temperature.

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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

Cited by 6 publications

References 29 publications

Influence of the fractional-order strain on an infinite material with a spherical cavity under Green-Naghdi hyperbolic two-temperature thermoelasticity theory

Influence of the fractional-order strain on an infinite material with a spherical cavity under Green-Naghdi hyperbolic two-temperature thermoelasticity theory

The Influences of the Hyperbolic Two-Temperatures Theory on Waves Propagation in a Semiconductor Material Containing Spherical Cavity

Diagonalization Method to Hyperbolic Two-Temperature Generalized Thermoelastic Solid Sphere under Mechanical Damage Effect

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