Effect of surface piezoelectricity on the electromechanical behaviour of a piezoelectric ring

Huang, Gan-Yun; Yu, Shou-Wen

doi:10.1002/pssb.200541521

Cited by 196 publications

(94 citation statements)

References 14 publications

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“…To account for the surface effects, a surface piezoelectricity model (Huang & Yu 2006;Yan & Jiang 2011a,b) is adopted here. According to this model, the PNP is considered as being composed of a bulk part and the upper and lower surface layers with negligible thickness.…”

Section: Formulationmentioning

confidence: 99%

“…where s The existence of the surface stresses of the PNP induces traction jumps exerted on the bulk of the plate, which has been commonly adopted in the surface elasticity model and surface piezoelectric model for nanostructures with a variety of configurations (Huang & Yu 2006;Lu et al 2006;Wang & Feng 2007He & Lilley 2008a,b;Yan & Jiang 2011a,b,c;Li et al 2011). According to the generalized Young-Laplace equations (Chen et al 2006b), these traction jumps T x , T y and T z with the consideration of plate deformation can be expressed as …”

Section: Formulationmentioning

confidence: 99%

“…The surface elasticity model was used by Wang & Feng (2010) to study the vibration and buckling of a piezoelectric nanobeam, while the surface piezoelectricity was ignored. As an extension of the surface elasticity model, Huang & Yu (2006) carried out pioneering work in proposing a surface piezoelectricity model to study the effect of piezoelectric surface layers on the static deformation of a piezoelectric nanoring. This surface piezoelectricity model has been further applied in our previous work (Yan & Jiang 2011a,b,c) to study the surface effects on static electroelastic responses and vibrational behaviour of flat and curved piezoelectric nanobeams.…”

Section: Introductionmentioning

confidence: 99%

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Vibration and buckling analysis of a piezoelectric nanoplate considering surface effects and in-plane constraints

2012

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This work investigates the surface effects on the vibration and buckling behaviour of a simply supported piezoelectric nanoplate (PNP) by using a modified Kirchhoff plate model. Two kinds of in-plane constraints are defined for the PNP, and the surface effects are accounted in the modified plate theory through the surface piezoelectricity model and the generalized Young-Laplace equations. Simulation results show that the influence of surface effects on the plate resonant frequency depends on the in-plane constraints significantly. For the PNP with different in-plane constraints, the effects of the applied electric potential, the mode number, the plate aspect ratio and the plate thickness on the resonant frequency are examined with consideration of the surface effects. The possible mechanical buckling of the PNP is also studied, and it is found that the surface effects on the critical electric voltage for buckling are sensitive to the plate thickness and aspect ratio. Our results also reveal that there exists a critical transition point at which the combined surface effects on the critical electric voltage may vanish under certain conditions.

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Section: Formulationmentioning

confidence: 99%

Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Vibration and buckling analysis of a piezoelectric nanoplate considering surface effects and in-plane constraints

2012

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“…Thus, further efforts were made to reveal the physics behind the unique piezoelectric effect at the nanoscale. Following this, the effect of the surface piezoelectricity was identified as one of the major factors that would exert significant influence on the electromechanical behavior of PNs (Dai et al 2011;Miller and Shenoy 2000;Wang andFeng 2009, 2010;Liu and Rajapakse 2010;Huang and Yu 2006;Jiang 2010, 2011;Li et al 2011;Zhang and Wang 2012;Zhang et al 2012a, b).…”

Section: Measurement Of Nano-piezoelectricitymentioning

confidence: 98%

“…The "core-surface" concept was extended by Huang and Yu (2006) to evaluate the effect of piezoelectric surface on the structural responses of PNs. Along with the surface residual stress and surface elasticity, the surface piezoelectricity was considered for the first time in the analysis of PNs.…”

Section: Effect Of Piezoelectric Surface Layermentioning

confidence: 99%

Piezoelectric Response at Nanoscale

Zhang

Meguid

2016

Advances in Nanocomposites

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Considerable efforts were invested to study the piezoelectricity at the nanoscale, which serves as a physical basis for a wide range of smart nanodevices and nanoelectronics. This chapter reviews the recent progress in characterizing the effective piezoelectric property in a nanoworld and the influence of the piezoelectric effect on the mechanical responses of nanoscale structures. Extremely strong piezoelectric responses of piezoelectric nanomaterials were reported in experiments, and the size dependence was observed in atomistic simulations. Attempts were also made to reveal the physics behind these unique features, but the universal theory has not yet been established. Among the proposed mechanisms, the theory of surface piezoelectricity is widely accepted and thus used to derive two effective piezoelectric coefficients (EPCs) for investigating the effect of piezoelectricity on (1) stress or strain and (2) the effective elastic moduli of piezoelectric nanomaterials. The EPCs are found to be size-dependent and also deformationselective. The obtained results also show that at the nanoscale the surface piezoelectricity can enhance the piezoelectric potential of nanostructures when subjected to a static deformation. In addition, the intrinsic loss of oscillating piezoelectric nanostructures can be mitigated through the piezoelectric effect at the nanoscale.

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Harmonic vibrations of nanosized piezoelectric bodies with surface effects

Наседкин

Eremeyev

2013

Z Angew Math Mech

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We consider the harmonic and eigenvalue problems for piezoelectric nanodimensional bodies with account for surface stresses and surface electric charges. For harmonic problem new mathematical model is suggested, which generalizes the model of the piezoelectric medium with damping properties, boundary conditions of contact type and surface effects. The classical and generalized (weak) statements for harmonic and eigenvalue problems are formulated in the extended and reduced forms. The spectral properties of the eigenvalue problems with account for surface effects are determined. A variational minimal principle is constructed which is similar to the well‐known variational principle for problems for pure elastic and piezoelectric media. The discreteness of the spectrum and completeness of the eigenvectors are proved. As a consequence of variational principle, the properties of the natural frequencies increase or decrease are established for changing the mechanical, electric and “surface” boundary conditions and the moduli of piezoelectric body. The finite element approaches are described for determination of the natural frequencies, the resonance and antiresonance frequencies and harmonic behavior of nanosized piezoelectric bodies with account for surface effects.

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Effect of surface piezoelectricity on the electromechanical behaviour of a piezoelectric ring

Cited by 196 publications

References 14 publications

Vibration and buckling analysis of a piezoelectric nanoplate considering surface effects and in-plane constraints

Vibration and buckling analysis of a piezoelectric nanoplate considering surface effects and in-plane constraints

Piezoelectric Response at Nanoscale

Harmonic vibrations of nanosized piezoelectric bodies with surface effects

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