Moore-Gibson-Thompson theory of a non-local excited semiconductor medium with stability studies

El‐Sapa, Shreen; Almoneef, Areej A.; Lotfy, Kh.; El-Bary, Alaa A.; Saeed, Abdulkafi Mohammed

doi:10.1016/j.aej.2022.05.036

Cited by 7 publications

(3 citation statements)

References 47 publications

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“…There are other scholars who have similarly investigated and extended the MGT theory. [26][27][28][29][30] The above non-Fourier heat conduction models and the generalized piezoelectric-thermoelastic theories were formulated in the form of integer order derivative, which possesses the feature of locality, characterizing the current state. Such locality makes their applicability challenged 31 in situations of viscoelasticity, laser heating, polymers, porous materials, transient processes etc.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic transient memory response analysis of non-localized nano-piezoelectric plates based on Moore-Gibson-Thompson thermoelasticity theory

Shi,

Li,

2024

The Journal of Strain Analysis for Engineering Design

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With their abilities to induce electric charge, stress or deformation in response to external forces as well as the ease of fabrication, design flexibility and excellent electromechanical properties, piezoelectric materials have been widely used in actuators, sensors and even in nano/micro-electro-mechanical systems. With the rapid advancement of nano/micro-technology, from the perspective of theoretical analysis, the priority is to develop applicable models to describe the piezoelectric-thermoelastic responses of piezoelectric nano/micro-structures suffering transient heat conduction by taking the size-dependent effect and the memory-dependent effect into consideration. In this work, a new model based on the existing piezoelectric-thermoelastic model is established by introducing the nonlocality into the constitutive equations and the memory-dependent derivative into Moore-Gibson-Thompson (MGT) heat conduction equation respectively. Then, this new model is applied to investigating the dynamic responses of a piezoelectric nanoplate subjected to thermal shock. The corresponding governing equations are formulated and then solved by Laplace transform and its numerical inversion. In calculation, the influences of the time delay factor and the kernel function of MDD and the non-local parameter on the thermal, electric and elastic fields in the piezoelectric nanoplate are examined. Meanwhile, the predictions of transient response among different thermoelastic models are compared. The numerical results are illustrated graphically and discussed in detail. The obtained results show that MDD has a significant effect on the transient response, where the effect of the kernel function is more pronounced. This work may provide a theoretical reference for strength design, thermal protection and thermal processing strategies for piezoelectric nanodevices.

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Section: Introductionmentioning

confidence: 99%

Thermoelastic transient memory response analysis of non-localized nano-piezoelectric plates based on Moore-Gibson-Thompson thermoelasticity theory

Shi,

Li,

2024

The Journal of Strain Analysis for Engineering Design

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“…On the other hand, Abouelregal et al [30,31] used the time-fractional derivative technique to study the exciting viscoelastic two-temperature model for an infinite dipolar elastic body. El-Sapa et al [32] studied the Moore-Gibsonompson model of an excited nonlocal semiconductor material when the stability investigations are taken into account. Abbas et al [33][34][35][36][37] used the eigenvalue approach to study the effect of fractional order on the wave propagations of elastic bodies under the impact of magnetic fields with some numerical techniques.…”

Section: Introductionmentioning

confidence: 99%

Laser Short-Pulse Effect on Thermodiffusion Waves of Fractional Heat Order for Excited Nonlocal Semiconductor

Almoneef

El‐Sapa

Lotfy

et al. 2022

Advances in Condensed Matter Physics

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In this work, the thermal effect of a laser pulse is taken into account when mechanical-thermodiffusion (METD) waves are studied. The nonlocal semiconductor material is used when interference between holes and electrons occurs. The fractional technique is applied on the heat equation according to the photo-thermoelasticity theory. The governing equations describe the photo-excitation processes according to the overlapping between the thermoelasticity and photothermal theories. The thermoelastic deformation (TD) and the electronic deformation (ED) for the dimensionless fields are taken in one dimension (1D). The Laplace transforms are applied to obtain the analytical solutions when some initial and boundary conditions are applied at the nonlocal surface. The complete nondimensional solutions of the main quantities are obtained according to some numerical simulation approximate during the inversion processes of Laplace transforms and Fourier expansion. The time-fractional order, nonlocal, and thermal memories are used to compare the wave propagations of the main fields and are discussed graphically for nonlocal silicon material.

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“…In recent years, thermo-optical theory has become a useful tool to describe the system of equations in such circumstances, which often occur during the hole diffusion processes. Furthermore, the concept of thermoelasticity can be implemented and introduced in this field to describe the thermoelastic deformation processes for such kind of semiconducting materials [10]. Despite the interest in examining the effect of carrier heating on gain dynamics, the dynamic behavior of carrier temperature is rarely studied.…”

mentioning

confidence: 99%

Thermomagnetic behavior of a semiconductor material heated by pulsed excitation based on the fourth-order MGT photothermal model

Abouelregal

Sedighi

Eremeyev

2022

Continuum Mech. Thermodyn.

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This article proposes a photothermal model to reveal the thermo-magneto-mechanical properties of semiconductor materials, including coupled diffusion equations for thermal conductivity, elasticity, and excess carrier density. The proposed model is developed to account for the optical heating that occurs through the semiconductor medium. The Moore-Gibson-Thompson (MGT) equation of the fourth-order serves as the theoretical framework to establish the photothermal model. It is well-known that the optical and heat transfer properties of such materials behave as random functions of photoexcited-carrier density; therefore, the current model is remarkably more reliable compared to the earlier closed-form theories which are limited to a single form. The constructed theoretical framework is able to investigate the magneto-photothermoelastic problems in a semiconductor medium due to laser pulse excitation as a case study. Some parametric studies are used to exhibit the impact of thermal parameters, electromagnetic fields, laser pulses and thermoelectric coupling factors on the thermomagnetic behavior of physical variables. Finally, several numerical examples have been presented to draw the distributions of the examined field variables.

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Moore-Gibson-Thompson theory of a non-local excited semiconductor medium with stability studies

Cited by 7 publications

References 47 publications

Thermoelastic transient memory response analysis of non-localized nano-piezoelectric plates based on Moore-Gibson-Thompson thermoelasticity theory

Thermoelastic transient memory response analysis of non-localized nano-piezoelectric plates based on Moore-Gibson-Thompson thermoelasticity theory

Laser Short-Pulse Effect on Thermodiffusion Waves of Fractional Heat Order for Excited Nonlocal Semiconductor

Thermomagnetic behavior of a semiconductor material heated by pulsed excitation based on the fourth-order MGT photothermal model

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