Modified Fractional Photo-Thermoelastic Model for a Rotating Semiconductor Half-Space Subjected to a Magnetic Field

Abouelregal, Ahmed E.

doi:10.1007/s12633-020-00380-x

Cited by 29 publications

(4 citation statements)

References 32 publications

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“…Alshaikh (2022) illustrated the influences of rotation and diffusion on photothermal wave propagation. Abouelregal (2020) introduced a photo-TE model by considering a half-space rotating with uniform angular velocity and subjected to a magnetic field with heat conduction equations of time-fractional order. Kumar et al.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamical interactions in a rotating functionally graded semiconductor material with gravity

Sheoran

Yadav

Punia

et al. 2023

MMMS

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PurposeThe purpose of this paper is to analyse the transient effects in a functionally graded photo-thermoelastic (TE) medium with gravity and rotation by considering two generalised TE theories: Lord–Shulman (LS) and Green–Lindsay (GL). The governing equations are derived in rectangular Cartesian coordinates for a two dimensional problem.Design/methodology/approachAll the physical properties of the semiconductor are supposed to vary exponentially with distance. The analytical solution is procured by employing normal mode technique on the resulting non-dimensional coupled field equations with appropriate boundary conditions.FindingsFor the mechanically loaded thermally insulated surface, normal displacement, stress components, temperature distribution and carrier density are calculated numerically with the help of MATLAB software for a silicon semiconductor and displayed graphically. Some particular cases of interest have also been deduced from the present results.Originality/valueThe effects of rotation and non-homogeneity on the different physical fields are investigated on the basis of analytical and numerical results. Comparisons are made with the results predicted by GL theory in the presence and absence of gravity for different values of time. Comparisons are also made between the three theories in the presence of rotation, gravity and in-homogeneity. Such problems are very important in many dynamical systems.

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Section: Introductionmentioning

confidence: 99%

Thermodynamical interactions in a rotating functionally graded semiconductor material with gravity

Sheoran

Yadav

Punia

et al. 2023

MMMS

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“…Zhang et al [57] presented the atomistic simulations of double-walled carbon nanotubes F I G U R E 1 Some realistic applications of rotating micromachined beams (a) microgyroscope with rotary movement of pillars [48] (b) axial microturbine [49] (c) micromachined Gyroscope proposed by National University of Defense Technology (NUDT) [34] (d) Nano-Gyroscope in rotating machine composed of carbon nanotube [50] on rotational bearings. Several works in the literature focused on the dynamic characteristics of rotating small-sized structures [58][59][60][61][62] demonstrating the importance of this topic among researchers and scientists.…”

Section: Introductionmentioning

confidence: 99%

“…[57] presented the atomistic simulations of double‐walled carbon nanotubes on rotational bearings. Several works in the literature focused on the dynamic characteristics of rotating small‐sized structures [58–62] demonstrating the importance of this topic among researchers and scientists.…”

Section: Introductionmentioning

confidence: 99%

Nonlocalized thermal behavior of rotating micromachined beams under dynamic and thermodynamic loads

et al. 2021

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Rotating micromachined beams are one of the most practical devices with several applications from power generation to aerospace industries. Moreover, recent advances in micromachining technology have led to huge interests in fabricating miniature turbines, gyroscopes and microsensors thanks to their high quality/reliability performances. To this end, this article is organized to examine the axial dynamic reaction of a rotating thermoelastic nanobeam under a constantvelocity moving load. Using Eringen's nonlocal elasticity in conjunction with Euler-Bernoulli theory and Hamilton's principle, the governing equations are derived. It is assumed that the nanobeam is affected by thermal load and the boundary condition is simply supported. The Laplace transform approach is employed to solve the partial differential equations. A numerical example is presented to analyze the effects of the nonlocal parameter, rotation speed and velocity of the static moving load on the dynamic behavior of the system. The numerical results are graphically illustrated and analyzed to recognize the variations of field variables. Finally, in some special cases, our results are compared to those reported in the literature to demonstrate the reliability of the current model.

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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

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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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Modified Fractional Photo-Thermoelastic Model for a Rotating Semiconductor Half-Space Subjected to a Magnetic Field

Cited by 29 publications

References 32 publications

Thermodynamical interactions in a rotating functionally graded semiconductor material with gravity

Thermodynamical interactions in a rotating functionally graded semiconductor material with gravity

Nonlocalized thermal behavior of rotating micromachined beams under dynamic and thermodynamic loads

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

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