Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G‐N theory

Hilal, Mohamed I. M.

doi:10.1002/zamm.202100285

Cited by 8 publications

(9 citation statements)

References 36 publications

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“…In the following we prove that Equation () is wrong, and then all the following results in the paper depended on Equation () which is resulted from this wrong relation, then, the solutions and results in Ref. [1] are not correct.…”

Section: Fourth Errormentioning

confidence: 81%

“…The author in Ref. [1] used microelongated nonlocal thermoelasticity theory to discuss the model with the energy dissipation in Green–Naghdi type III, and with using Fourier and Laplace transforms they obtained the required solution. But really this solution depends on an incorrect property of Fourier and Laplace transforms technique.…”

Section: Fourth Errormentioning

confidence: 99%

“…He [1] obtained, the right‐hand side of Equation () in the form

R . H . S = - m_{13} {normale}^{- (\frac{ξ^{2}}{r^{2}} + \frac{s}{t_{0}} + γ x)},

where

m_{13} = \frac{Q_{0} false(1 - \frac{s}{t_{0}} false)}{a_{10} - a_{11}},

a_{10} = \frac{k^{*}}{ρ C_{E} c_{1}^{2}},

a_{11} = \frac{k ω^{*}}{ρ C_{E} c_{1}^{2}} .

…”

Section: Fourth Errormentioning

confidence: 99%

“…The Equation () in Ref. [1] is as follows (is wrong)

\begin{matrix} true \\ left μ \nabla^{2} bold-italicu + (λ + μ) \nabla (\nabla . u) + λ_{0} \nabla normalΨ - β_{0} \nabla θ ((), 1 - ε^{2} \nabla^{2}) bold-italicF \\ left = ρ ((), 1 - ε^{2} \nabla^{2}) ([], \frac{\partial^{2} bold-italicu}{\partial t^{2}} + (boldΩ \times false(Ω \times bold-italicu false)) + ((), 2 Ω \times \frac{\partial bold-italicu}{\partial t})), \end{matrix}

…”

Section: First Errormentioning

confidence: 99%

“…The Force components Equation () and Equation () in Ref. [1] as follows

F_{x} = - μ_{0}^{2} H_{0}^{2} ε_{0} \frac{\partial^{2} u}{\partial t^{2}},

F_{y} = - μ_{0}^{2} H_{0}^{2} ε_{0} \frac{\partial^{2} v}{\partial t^{2}},

…”

Section: Third Errormentioning

confidence: 99%

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Comments on the paper “Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G‐N theory, Mohamed I. M. Hilal, ZAMM, 2021, zamm.202100285, zamm.202100285.R1, https://doi.org/10.1002/zamm.202100285”

Othman

2021

Z Angew Math Mech

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Section: Fourth Errormentioning

confidence: 81%

Section: Fourth Errormentioning

confidence: 99%

“…He [1] obtained, the right‐hand side of Equation () in the form

R . H . S = - m_{13} {normale}^{- (\frac{ξ^{2}}{r^{2}} + \frac{s}{t_{0}} + γ x)},

where

m_{13} = \frac{Q_{0} false(1 - \frac{s}{t_{0}} false)}{a_{10} - a_{11}},

a_{10} = \frac{k^{*}}{ρ C_{E} c_{1}^{2}},

a_{11} = \frac{k ω^{*}}{ρ C_{E} c_{1}^{2}} .

…”

Section: Fourth Errormentioning

confidence: 99%

“…The Equation () in Ref. [1] is as follows (is wrong)

\begin{matrix} true \\ left μ \nabla^{2} bold-italicu + (λ + μ) \nabla (\nabla . u) + λ_{0} \nabla normalΨ - β_{0} \nabla θ ((), 1 - ε^{2} \nabla^{2}) bold-italicF \\ left = ρ ((), 1 - ε^{2} \nabla^{2}) ([], \frac{\partial^{2} bold-italicu}{\partial t^{2}} + (boldΩ \times false(Ω \times bold-italicu false)) + ((), 2 Ω \times \frac{\partial bold-italicu}{\partial t})), \end{matrix}

…”

Section: First Errormentioning

confidence: 99%

“…The Force components Equation () and Equation () in Ref. [1] as follows

F_{x} = - μ_{0}^{2} H_{0}^{2} ε_{0} \frac{\partial^{2} u}{\partial t^{2}},

F_{y} = - μ_{0}^{2} H_{0}^{2} ε_{0} \frac{\partial^{2} v}{\partial t^{2}},

…”

Section: Third Errormentioning

confidence: 99%

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Comments on the paper “Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G‐N theory, Mohamed I. M. Hilal, ZAMM, 2021, zamm.202100285, zamm.202100285.R1, https://doi.org/10.1002/zamm.202100285”

Othman

2021

Z Angew Math Mech

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Photothermal excitation and Thomson impact in a semiconductor microelongated thermoelastic medium with microtemperatures in the gravity

Hilal

2022

Z Angew Math Mech

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The heating of solids occurs due to the absorbed light from the heat source. Photothermal spectroscopy is a method of measuring the optical absorption and thermal properties of semiconductor materials using high‐sensitivity spectroscopic techniques. In the present paper, the harmonic solution as an analytical solution is provided to describe the semiconductor photothermal microelongated medium with microtemperatures in the gravity field. The proposed photothermal microelongated model is subjected to an induced magnetic field to observe the Thomson effect. The numerical calculations for the components of thermal stresses, displacement, temperature field, and carrier density are obtained using the harmonic solution approach. The propagation of heat, elastic, and plasma waves, as well as the distributions of each investigated field, were examined and explained. The comparison is also used to see how the gravity, Thomson effect, and the photo‐excitation have more observable effects on the distribution of the medium fields during their values changes. With the development of technologies, the semiconducting materials were used widely in modern engineering. The study of wave propagation in a semiconducting medium will have important academic significance and application value.

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Thermomechanical interactions of rotating thermoelastic magneto-microelongated medium heated by laser and initially stressed via non-local elasticity and GN III

Hilal

2022

Acta Mech

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Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G‐N theory

Cited by 8 publications

References 36 publications

Comments on the paper “Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G‐N theory, Mohamed I. M. Hilal, ZAMM, 2021, zamm.202100285, zamm.202100285.R1, https://doi.org/10.1002/zamm.202100285”

Comments on the paper “Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G‐N theory, Mohamed I. M. Hilal, ZAMM, 2021, zamm.202100285, zamm.202100285.R1, https://doi.org/10.1002/zamm.202100285”

Photothermal excitation and Thomson impact in a semiconductor microelongated thermoelastic medium with microtemperatures in the gravity

Thermomechanical interactions of rotating thermoelastic magneto-microelongated medium heated by laser and initially stressed via non-local elasticity and GN III

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