A novel model on nonlocal thermoelastic rotating porous medium with memory-dependent derivative

Said, Samia M.; Othman, Mohamed I. A.; Eldemerdash, Mohamed G.

doi:10.1108/mmms-05-2022-0085

“…where 𝛽𝛽, 𝑏𝑏, 𝛼𝛼 1 , 𝛼𝛼 2 , 𝛼𝛼 3 , 𝛼𝛼 4 are the material constants due to the presence of voids Said et al [27].…”

Section: The Discussion Of the Problem And The Basic Equationsmentioning

confidence: 99%

The Effect of Nonlocal on Poro-thermoelastic Solid with Dependent Properties on Refrence Temperature via the Three-phase-lag Model

Othman¹,

Said²,

Eldemerdash³

2023

J. Mater. Appl.

4

0

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In this work, a novel nonlocal model on a poro-thermoelastic solid with temperature-dependent properties is presented. To solve this problem, the thermo-elasticity theory with three-phase-lag model (3PHL) is proposed. The modulus of the elasticity is given as a linear function of the reference temperature. The analytical expressions of the displacement components, the stresses, and the temperature are obtained by normal mode analysis. The main physical fields are displayed graphically and theoretically discussed under the influence of the nonlocal parameter and temperature-dependent properties.

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“…Researchers such as Al-Jamel et al [20], Othman and Mondal [21], and Hendy et al [22] have discussed and studied the new approach to MDD, extending the Lord-Shulman (LS) model with MDD and studying the moving heat source thermoelectric problem with MDD. Additionally, Said et al [23,24], Abouelregal et al [25], Geetanjali et al [26], Lamba [27], and Kumar et al [28] have proposed novel solutions to the memory-dependent heat equation for thermoelasticity.…”

Section: Introductionmentioning

confidence: 99%

Numerical and Analytical Exploration of Memory Effects in Magneto-Photo-Thermoelasticity of Isotropic Semiconductors using the 3PH Lag Model

Jojare,

Gaikwad

2024

Preprint

2

0

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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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“…Researchers such as Al-Jamel et al [20], Othman and Mondal [21], and Hendy et al [22] have discussed and studied the new approach to MDD, extending the Lord-Shulman (LS) model with MDD and studying the moving heat source thermoelectric problem with MDD. Additionally, Said et al [23,24], Abouelregal et al [25], Geetanjali et al [26], Lamba [27], and Kumar et al [28] have proposed novel solutions to the memory-dependent heat equation for thermoelasticity.…”

Section: Introductionmentioning

confidence: 99%

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

Jojare,

Gaikwad

2024

Mech Time-Depend Mater

3

0

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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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A novel model on nonlocal thermoelastic rotating porous medium with memory-dependent derivative

Cited by 12 publications

References 35 publications

The Effect of Nonlocal on Poro-thermoelastic Solid with Dependent Properties on Refrence Temperature via the Three-phase-lag Model

The Effect of Nonlocal on Poro-thermoelastic Solid with Dependent Properties on Refrence Temperature via the Three-phase-lag Model

Numerical and Analytical Exploration of Memory Effects in Magneto-Photo-Thermoelasticity of Isotropic Semiconductors using the 3PH Lag Model

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

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