Analysis of Lamb wave propagation in a functionally graded piezoelectric small-scale plate based on the modified couple stress theory

Liu, Cancan; Yu, Jiangong; Zhang, Bo; Zhang, Xiaoming; Elmaimouni, L.

doi:10.1016/j.compstruct.2021.113733

Cited by 27 publications

(8 citation statements)

References 43 publications

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“…Moreover, they showed that the influences of the couple stress model on the values of resonant frequencies of the FG microplate, and lead to a decrease in the number of resonant frequencies. In another interesting research proposed by Liu et al [347], the investigation of Lamb wave propagation in an FG piezoelectric size-dependent plate with consideration of the modified couple stress model was carried out. The Legendre orthogonal polynomial model was proposed to implement the solving procedure.…”

Section: Elastic/thermoelastic Wave Propagation Of Micro/nano-structuresmentioning

confidence: 99%

A review of size-dependent continuum mechanics models for micro- and nano-structures

Roudbari

Jorshari

et al. 2022

Thin-Walled Structures

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Section: Elastic/thermoelastic Wave Propagation Of Micro/nano-structuresmentioning

confidence: 99%

A review of size-dependent continuum mechanics models for micro- and nano-structures

Roudbari

Jorshari

et al. 2022

Thin-Walled Structures

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“…The subject of elastic wave propagation in various piezoelectric materials and structures has received increasing attention from the mechanics community in the last few decades. Recent results mainly include surface waves in piezoelectric half-space (Collet and Destrade, 2004;Collet and Destrade, 2005), elastic half-space covered by piezoelectric layer (Nie et al, 2020a;Zhang et al, 2022) or the reverse configuration (Liu and He, 2010;Huang et al, 2014), interface waves in piezoelectric bi-material (Yang and Yang, 2009;Otero et al, 2012), guided waves in piezoelectric plate (Zhang et al, 2012;Nie et al, 2020b), and multilayered plate (Gao and Zhang, 2020;Xia et al, 2021), functionally graded piezoelectric material (Liu et al, 2021;Lakshman, 2022) and so on. So far, most of the available results on elastic wave in piezoelectric materials and structures are for the infinite media extended in one or two dimensions.…”

Section: Introductionmentioning

confidence: 99%

Bending waves localized along the edge of a semi-infinite piezoelectric plate with orthogonal symmetry

Nie

Lei²,

Liu³

et al. 2022

Front. Mater.

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We study the propagation of bending waves along the free edge of a semi-infinite piezoelectric plate within the framework of two-variable refined plate theory (TVPT, a high-order plate theory), Reissner-Mindlin refined plate theory (RMPT, a first-order plate theory), and the classical plate theory (CPT). The piezoelectric plate has macroscopic symmetry of orthogonal mm2 The governing equations are derived using Hamilton principle. The dispersion relations for electrically open and shorted boundary conditions at the free edge are obtained analytically. The difference in dispersion property between the three plate theories is analyzed. The numerical results show that the dispersion curves predicted by TVPT and RMPT are similar and have small difference over the complete frequency range, which means both the two theories are valid for the analysis of edge waves in a piezoelectric plate. But the wave velocity calculated by CPT is much larger than the two theories above and is no longer valid for high frequency and thick plate. The electrical boundary condition at the free edge has an insignificant effect on phase velocity and group velocity which can be ignored for the analysis of edge waves in a piezoelectric plate governed by bending deformation. The velocity of bending edge waves in a semi-infinite piezoelectric plate is positively related to that of Rayleigh surface wave in a traction-free piezoelectric half-space. The edge wave velocity can be enhanced when the piezoelectric plate is considered as one with weaker anisotropy.

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“…Due to the high specific strength, high specific stiffness, excellent fatigue resistance, excellent instability resistance and post buckling performance of Carbon Fiber Reinforced Plastic (CFRP) [1][2][3]. So, it has a wide range of applications in the field of aerospace.…”

Section: Introductionmentioning

confidence: 99%

Locating and imaging composite damage based on frequency spectrum detection of lamb waves

Zhang

et al. 2022

Front. Phys.

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Lamb wave is widely concerned in damage detection of composite structures due to its long propagation distance and strong sensitivity to damage. In order to solve the problem of damage information extraction, high-precision imaging positioning of damage is realized. A damage location imaging method based on lamb signal spectrum is proposed. The damage location imaging of composite materials is realized by simulation and experiment respectively. Firstly, the feasibility of the algorithm is verified by simulation. The circular sensor array is arranged in the structure. Each sensor acts as an actuator and rotates clockwise to generate Lamb waves, while other sensors collect signals. The frequency spectrum of the signal is extracted to calculate the damage factor, and the probability imaging algorithm is used to realize the single damage and multiple damage location imaging. Then, the damage imaging localization is realized through experiments. Finally, the resistant noise characteristic of the proposed algorithm is analyzed. The results show that both single damage and multiple damage can be located in strong noise environment. It shows that this method can realize damage imaging directly without preprocessing the original signal. It has great potential in damage location imaging under strong noise environment.

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Analysis of Lamb wave propagation in a functionally graded piezoelectric small-scale plate based on the modified couple stress theory

Cited by 27 publications

References 43 publications

A review of size-dependent continuum mechanics models for micro- and nano-structures

A review of size-dependent continuum mechanics models for micro- and nano-structures

Bending waves localized along the edge of a semi-infinite piezoelectric plate with orthogonal symmetry

Locating and imaging composite damage based on frequency spectrum detection of lamb waves

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