On size-dependent thermo-viscoelasticity theory for piezoelectric materials

Ezzat, Magdy A.; Ezzat, Shereen M.; Alduraibi, Norah S.

doi:10.1080/17455030.2022.2043569

Cited by 25 publications

(7 citation statements)

References 44 publications

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“…Nonlocal thermo-viscoelasticity theory ( R > 0, α → 1 and ξ > 0): Nonlocal thermo-viscoelasticity theory (Yang and Chen, 2020) when τq> τθ=0, τq2=0 Nonlocal coupled thermo-viscoelasticity theory (Ezzat et al , 2022) when τ q = τ θ = 0, α = 0. …”

Section: Mathematical Modelingmentioning

confidence: 99%

“…Nonlocal thermo-viscoelasticity theory (Yang and Chen, 2020) when t q > t u ¼ 0; t 2 q ¼ 0 Nonlocal coupled thermo-viscoelasticity theory (Ezzat et al, 2022) when t q = t u = 0, a = 0. HFF 32,12…”

Section: Limiting Casesmentioning

confidence: 99%

“…This article may be a continuation of the work (Ezzat et al , 2022) to incorporate the effect of dual-phase lag heat transfer and fractional order parameters.…”

Section: Introductionmentioning

confidence: 99%

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State-space approach to nonlocal thermo-viscoelastic piezoelectric materials with fractional dual-phase lag heat transfer

Ezzat

Ezzat²,

Alkharraz³

2022

HFF

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Purpose The purpose of this study is to develop a comprehensive size-dependent piezoelectric thermo-viscoelastic coupling model that accounts for two fundamentally distinct size-dependent models that govern fractional dual-phase lag heat transfer and viscoelastic deformation, respectively. Design/methodology/approach The fractional calculus has recently been shown to capture precisely the experimental effects of viscoelastic materials. The governing equations are combined into a unified system, from which certain theorems results on linear coupled and generalized theories of thermo-viscoelasticity may be easily established. Laplace transforms and state–space approach will be used to determine the generic solution when any set of boundary conditions exists. The derived formulation is used to two concrete different problems for a piezoelectric rod. The numerical technique for inverting the transfer functions is used to generate observable numerical results. Findings Some analogies of impacts of nonlocal thermal conduction, nonlocal elasticity and DPL parameters as well as fractional order on thermal spreads and thermo-viscoelastic response are illustrated in the figures. Originality/value The results in all figures indicate that the nonlocal thermal and viscoelastic parameters have a considerable influence on all field values. This discovery might help with the design and analysis of thermal-mechanical aspects of nanoscale devices.

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Section: Mathematical Modelingmentioning

confidence: 99%

Section: Limiting Casesmentioning

confidence: 99%

See 1 more Smart Citation

State-space approach to nonlocal thermo-viscoelastic piezoelectric materials with fractional dual-phase lag heat transfer

Ezzat

Ezzat²,

Alkharraz³

2022

HFF

Self Cite

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“…In this theory, the stress at a certain point depends on the strains of all points in the body instead of only the strain at this point. So far, several studies were performed to incorporate the nonlocal theory in TED analysis, 49,50 dynamic response, [51][52][53][54] and vibration 55,56 of micro/nano-structures.…”

Section: Introductionmentioning

confidence: 99%

Dual-phase-lag thermoelastic damping analysis of a functionally graded sandwich micro-beam resonators incorporating double nonlocal effects

Wang,

Peng,

2023

The Journal of Strain Analysis for Engineering Design

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Functionally graded sandwich micro/nano-structures have attracted great attention due to the capability to resist high noise and thermal stress in a non-isothermal environment. Additionally, the design of high quality-factor micro/nano-resonators requires accurate estimation of their thermoelastic damping. However, the classical thermoelastic damping models fail at the micro/nano-scale due to the influences of the size-dependent effects related to heat transfer and elastic deformation. This work aims to investigate the influences of the size-dependent effects on the thermoelastic damping of functionally graded sandwich micro-beam resonators by combining the nonlocal dual-phase-lag heat conduction model and the nonlocal elasticity model. It is assumed that the functionally graded sandwich micro-beam resonators consist of a ceramic core and functionally graded surfaces. The energy equation and the transverse motion equation are derived. The analytical expression of thermoelastic damping is obtained by complex frequency method. Numerical results are analyzed for the effects of the thermal nonlocal parameter, the elastic nonlocal parameter, the power-law index, and the vibration modes on the thermoelastic damping of functionally graded sandwich micro-beam resonators. The results show that the thermoelastic damping of functionally graded sandwich micro-beam resonators can be adjusted by the suitably modified parameters, which strongly depends on the double nonlocal effects and the power-law index.

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“…A nonlocal generalization of Fourier's law of heat conduction in two-dimensional thermal lattices is presented by Challamel et al [6]. Ezzat et al [7] developed a nonlocal systemic formulation for the coupling for thermal and viscoelastic deformations in the context of the piezoelectric thermo viscoelastic solid. Saeed and Abbas [8] examined the nonlocal thermoelastic interactions in a nanoscale material in the context of Green and Naghdi theory (without energy dissipation).…”

Section: Introductionmentioning

confidence: 99%

Thermo‐mechanical interactions in a rotating nonlocal functionally graded transversely isotropic elastic half‐space

Barak

Dhankhar

2022

Z Angew Math Mech

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The current research work deals with the analysis of disturbances induced in a rotating, nonlocal, functionally graded (nonhomogeneous), transversely isotropic thermoelastic half-space due to the application of a mechanical load in the context of Lord-Shulman theory. Material properties are assumed to be graded along 𝑧-direction and the normal mode analysis is used to obtain the exact expressions of the normal displacement, stress components, and temperature field. The profiles of field variables are computed numerically and limned graphically. The graphical results indicate that the nonlocal parameter, material's anisotropy, nonhomogeneity parameter, rotation parameter, and time have significant effects on all the physical fields. Certain particular cases of interest have also been deduced from the current investigation.

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On size-dependent thermo-viscoelasticity theory for piezoelectric materials

Cited by 25 publications

References 44 publications

State-space approach to nonlocal thermo-viscoelastic piezoelectric materials with fractional dual-phase lag heat transfer

State-space approach to nonlocal thermo-viscoelastic piezoelectric materials with fractional dual-phase lag heat transfer

Dual-phase-lag thermoelastic damping analysis of a functionally graded sandwich micro-beam resonators incorporating double nonlocal effects

Thermo‐mechanical interactions in a rotating nonlocal functionally graded transversely isotropic elastic half‐space

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