Photo-Thermoelastic Model with Time-Fractional of Higher Order and Phase Lags for a Semiconductor Rotating Materials

Zakaria, Kadry; Sirwah, Magdy A.; Abouelregal, Ahmed E.; Rashid, Ali F.

doi:10.1007/s12633-020-00451-z

Cited by 17 publications

(5 citation statements)

References 46 publications

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“…To demonstrate the above results graphically, we consider the following form. properties, the values of time delay parameters (τ T , τ q , and τ v ) in 3PH lag are considered under the stability conditions as shown in Table 1, following Zakaria [44]. The stability conditions are as per Quintanilla [12], where 2Kτ T > (K + K * τ v )τ q > K * .…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…, considering this conditions agrees 2PH lag problem Mondal [40]. By considering D ω f (t) → f ′ (t), K * = 0, τ v = 0, D 2 ω → 0, represents the photothermoelastic nodel of fractional ordered 2PH lag for semiconducting material discussed by Zakaria [44].…”

Section: Validation Of Modelmentioning

confidence: 94%

“…Saeed [42,43] interacted with the two-temperature hyperbolic thermal relaxation problems on functionally graded magneto PTE, as well as PTE in semiconducting materials, respectively. Zakaria et al [44,45] investigated higher-order semiconducting PTE models with LS and 2PH lag theories. They also discussed the MDD on PTE rotating solid cylinder with 2PH lag theory.…”

Section: Introductionmentioning

confidence: 99%

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Memory effects in isotropic semiconductors: a three-phase lag model analysis

Jojare,

Gaikwad

2024

Mech Time-Depend Mater

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The objective of this article is to delve into the isotropic three-phase (3PH) lag magneto photo-thermoelastic (PTE) theory in semiconductor medium, with a special emphasis on its memory-dependent-derivative (MDD) characteristics. The equations for displacement, temperature distribution, carrier density, and stress components resulting from this theory are formulated using these characteristics and then transformed into a Fourier-Laplace vector matrix differential equation. This equation is solved using an eigenvalue approach, and the numerical solution is obtained by inverting Fourier and Laplace transforms. Graphical solutions based on the properties of silicon material are visualized using Mathematica software. The results demonstrate the excellence of MDD in this 3PH model by showing the effect of coupling between thermal, plasma, and elastic waves with the presence of time delay parameters and linear kernel function. Additionally, the presence of several kernel functions reveals significant differences in these magneto PTE quantities. This theory will aid in better characterizing materials, optimizing device design, and exploring non-linear and transient phenomena in greater detail. Ultimately, these advancements will push the boundaries of photo-thermal science and its practical applications.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Validation Of Modelmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

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Memory effects in isotropic semiconductors: a three-phase lag model analysis

Jojare,

Gaikwad

2024

Mech Time-Depend Mater

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“…Aljadani and Zenkour [47] presented a unified form of refined thermoelasticity theory to obtain the field quantities of a rotating/non-rotating half-space with and without the effect of the decay parameter. According to the theory of generalized thermoelasticity [48][49][50] and the memory-dependent derivative, Abouelregal et al studied the thermomechanical behaviors of a functionally graded piezoelectric rod [51] and an infinite medium [52]. Using the Moore-Gibson-Thompson equation, Abouelregal and Alesemi [53] analyzed the thermo-viscoelastic behavior of a fiber-reinforced magnetic viscoelastic solid with temperature-dependent properties.…”

Section: Introductionmentioning

confidence: 99%

Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

Zhang,

Sun,

Xiang

et al. 2023

Buildings

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Approximate analytical solutions are presented for the transient thermoelastic problem of rectangular plates with time-dependent convection and radiation boundaries. To include the nonlinear radiation boundary, the whole heating process is divided into several time steps, and a linearized approximation is used to simplify the radiation term for each step. The one-dimensional transient temperature along the thickness direction is solved using the technique of the separation of variables. The displacement and stress solutions are obtained by applying the state-space method to the three-dimensional thermoelasticity equations. The accuracy of the present solutions is demonstrated by comparison with the reported results in the open literature and the finite element solutions. In the numerical examples, two kinds of thermal boundaries, namely, time-independent convection boundaries and time-dependent convection and radiation boundaries, are considered to show the availability of the present solutions.

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“…In the last two decades, a great interest has been devoted to fractional calculus due to its applications in various fields of biology, rheology, viscoelasticity, biophysics, electrical chemistry, bioengineering and electrical engineering, signal processing and images, physics and mechanics. Currently, to improve the classical Fourier law, some research has been done on heat conduction by fractional calculus, see [28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Functionally Graded Piezoelectric Medium Exposed to a Movable Heat Flow Based on a Heat Equation with a Memory-Dependent Derivative

2020

Self Cite

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The current work deals with the study of a thermo-piezoelectric modified model in the context of generalized heat conduction with a memory-dependent derivative. The investigations of the limited-length piezoelectric functionally graded (FGPM) rod have been considered based on the presented model. It is assumed that the specific heat and density are constant for simplicity while the other physical properties of the FGPM rod are assumed to vary exponentially through the length. The FGPM rod is subject to a moving heat source along the axial direction and is fixed to zero voltage at both ends. Using the Laplace transform, the governing partial differential equations have been converted to the space-domain, and then solved analytically to obtain the distributions of the field quantities. Numerical computations are shown graphically to verify the effect of memory presence, graded material properties, time-delay, Kernel function, and the thermo-piezoelectric response on the physical fields.

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Photo-Thermoelastic Model with Time-Fractional of Higher Order and Phase Lags for a Semiconductor Rotating Materials

Cited by 17 publications

References 46 publications

Memory effects in isotropic semiconductors: a three-phase lag model analysis

Memory effects in isotropic semiconductors: a three-phase lag model analysis

Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

Functionally Graded Piezoelectric Medium Exposed to a Movable Heat Flow Based on a Heat Equation with a Memory-Dependent Derivative

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