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Inverse quality factor of fractional viscoelastic micro/nanobeams with surface effects based on memory-dependent heat conduction model.

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Title: Inverse quality factor of fractional viscoelastic micro/nanobeams with surface effects based on memory-dependent heat conduction model.
Authors: Peng, Bo-Rong1 (AUTHOR), Zhang, Xue-Yang1 (AUTHOR) xyzh1992@hotmail.com, Xiao, Xia-Zi1 (AUTHOR), Li, Xian-Fang1 (AUTHOR), Li, Zheng1 (AUTHOR)
Source: International Journal of Heat & Mass Transfer. Dec2025, Vol. 252, pN.PAG-N.PAG. 1p.
Subjects: Energy dissipation, Heat conduction, Surfaces (Technology), Resonators, Quality factor
Abstract: • A novel fractional thermoviscoelastic damping model is established. • Explicit formula of inverse quality factor is derived. • Various energy dissipation mechanisms are combined and analyzed. • Viscoelastic losses dominate the energy dissipation within smaller thickness. A sufficiently accurate analysis of energy dissipation is very important of the design of high-performance micro/nano-mechanical resonators. In this paper, not only the thermomechanical damping loss, but also the surface loss and material loss of the energy dissipation are considered for a micro-beam resonator. A fractional Kelvin-Voigt viscoelastic micro-beam model containing memory-dependent heat flow and size effects of dissipative surface stress is first proposed. The heat flow in the micro-beam is described by a memory-dependent heat conduction model which can overcome the shortcoming of the classical Fourier's model. The analytic expression for the inverse quality factor Q − 1 is derived by the energy dissipation approach. The emphasis of the analysis is focused on the combined effects of the size-dependent surface dissipation and memory-dependent heat flow. The obtained results imply that the thermomechanical damping loss plays a significant part in Q − 1 for the larger thickness, whereas the size effect of dissipative surface stress dominate the energy dissipation for the smaller size. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:• A novel fractional thermoviscoelastic damping model is established. • Explicit formula of inverse quality factor is derived. • Various energy dissipation mechanisms are combined and analyzed. • Viscoelastic losses dominate the energy dissipation within smaller thickness. A sufficiently accurate analysis of energy dissipation is very important of the design of high-performance micro/nano-mechanical resonators. In this paper, not only the thermomechanical damping loss, but also the surface loss and material loss of the energy dissipation are considered for a micro-beam resonator. A fractional Kelvin-Voigt viscoelastic micro-beam model containing memory-dependent heat flow and size effects of dissipative surface stress is first proposed. The heat flow in the micro-beam is described by a memory-dependent heat conduction model which can overcome the shortcoming of the classical Fourier's model. The analytic expression for the inverse quality factor Q − 1 is derived by the energy dissipation approach. The emphasis of the analysis is focused on the combined effects of the size-dependent surface dissipation and memory-dependent heat flow. The obtained results imply that the thermomechanical damping loss plays a significant part in Q − 1 for the larger thickness, whereas the size effect of dissipative surface stress dominate the energy dissipation for the smaller size. [ABSTRACT FROM AUTHOR]
ISSN:00179310
DOI:10.1016/j.ijheatmasstransfer.2025.127486