Bending of a sinusoidal piezoelectric nanoplate with surface effect

Li, Y.S.; Pan, Ernian

doi:10.1016/j.compstruct.2015.09.047

Cited by 37 publications

(8 citation statements)

References 48 publications

(48 reference statements)

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“…So, we extend this idea to the surface piezoelectric theory in which the surface stresses are related to both surface strain and electric field. On the basis of this theory, the equilibrium equations can be represented as (Jia et al, 2017(Jia et al, , 2018Li and Pan, 2016;Long et al, 2012)…”

Section: Surface Piezoelectricity Theorymentioning

confidence: 99%

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Axisymmetric contact analysis of piezoelectric materials with surface effect

Hong-xia

2021

Journal of Intelligent Material Systems and Structures

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Based on the surface piezoelectricity theory, this article predicts the axisymmetric smooth contact of a piezoelectric half-space indented by a rigid insulated punch. In this theory, the surface effect is characterized with four material parameters: the surface elastic constant, surface residual stress, surface piezoelectric constant and surface dielectric constant. By applying Hankel integral transform, the fundamental solution for this axisymmetric contact problem is derived with the surface effect. Then, the normal contact stress, radial electric displacement and radial stress of the contact surface are solved numerically. Finally, the surface effects on the normal contact stress, radial electric displacement and radial stress are analyzed. It is found that the surface effect is a significant influencing factor on the axisymmetric contact behaviors of micro-/nano-scale piezoelectric materials.

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Section: Surface Piezoelectricity Theorymentioning

confidence: 99%

“…For the piezoelectric nanomaterials, the constitutive relations on the surface are given by (Li and Pan, 2016;Liang et al, 2015)…”

Section: Surface Piezoelectricity Theorymentioning

confidence: 99%

Axisymmetric contact analysis of piezoelectric materials with surface effect

Hong-xia

2021

Journal of Intelligent Material Systems and Structures

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“…(24) Note that this is the governing equation of an elastic nanobeam [21,22]. Further, considering the degeneration of equation (24) without surface effect, the classic equation of the Euler-Bernoulli beam can also be obtained.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…Later, the G-M theory was extended by Huang and Yu [20] to analyze the surface piezoelectricity of piezoelectric nanostructures. Based on the surface layer model, the size-dependent behaviors of nanostructures have been widely investigated [21][22][23][24]. With the in-depth research, surface effect is also considered in investigations of vibration and wave propagation in nanostructures [25][26][27][28][29][30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Surface effect on band structure of flexural wave propagating in magneto-elastic phononic crystal nanobeam

Zhang¹,

Gao²

2017

J. Phys. D: Appl. Phys.

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A theoretical model is established to study the size-dependent performance of flexural wave propagation in magneto-elastic phononic crystal (PC) nanobeam with surface effect based on Euler-Bernoulli beam theory and Gurtin-Murdoch theory. Considering the magnetomechanical coupling constitutive relation of magnetostrictive material, the influence of surface effect on band structure is calculated by the plane wave expansion method for PC nanobeam subjected to pre-stress and magnetic field loadings. Through the example of an epoxy/ Terfenol-D PC nanobeam, it can be observed that the characteristics of flexural wave band structures are size-dependent, and remarkably affected by surface effect when the dimension of the PC beam reduces to the nanoscale. The edges and width of the band gap with surface effect are higher than those without surface effect, especially for high frequency region. And surface effect gradually reduces with the increasing of bulk layer-to-surface layer thickness ratio until the band gap descends to a constant for the conventional one in the absence of surface effect. The effects of surface elasticity and piezomagneticity on band gap are more prominent than the residual surface stress. In addition, a distinctly nonlinear variation of band gap appears under the combined effects of pre-stress and magnetic field. Moreover, with the varying of filling fraction, multi-peaks of the width of the band gap are obtained and discussed. These results could be helpful for the intelligent regulation of magneto-elastic PC nanobeam and the design of nanobeam-based devices.

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“…Also, Zhang et al 12 investigated the influence of surface piezoelasticity on the buckling behavior of piezoelectric nanofilms subjected to mechanical loadings. Recently, Li and Pan 13 presented bending analysis of a sinusoidal piezoelectric nanoplate with surface effects. As a shortcoming, the nonlocality of stress field is not considered in these papers.…”

Section: Introductionmentioning

confidence: 99%

Modeling of smart magnetically affected flexoelectric/piezoelectric nanostructures incorporating surface effects

Ebrahimi

Barati

2017

Nanomaterials and Nanotechnology

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In this article, electromechanical buckling behavior of size-dependent flexoelectric/piezoelectric nanobeams is investigated based on nonlocal and surface elasticity theories. Flexoelectricity represents the coupling between the strain gradients and electrical polarizations. Flexoelectric/piezoelectric nanostructures can tolerate higher buckling loads compared with conventional piezoelectric ones, especially at lower thicknesses. Nonlocal elasticity theory of Eringen is applied for analyzing flexoelectric/piezoelectric nanobeams for the first time. The flexoelectric/piezoelectric nanobeams are assumed to be in contact with a two-parameter elastic foundation which consists of infinite linear springs and a shear layer. The residual surface stresses which are usually neglected in modeling of flexoelectric nanobeams are incorporated into nonlocal elasticity to provide better understanding of the physics of the problem. Applying an analytical method which satisfies various boundary conditions, the governing equations obtained from Hamilton’s principle are solved. The reliability of the present approach is verified by comparing the obtained results with those provided in literature. Finally, the influences of nonlocal parameter, surface effects plate geometrical parameters, elastic foundation, and boundary conditions on the buckling characteristics of the flexoelectric/piezoelectric nanobeams are explored in detail.

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Bending of a sinusoidal piezoelectric nanoplate with surface effect

Cited by 37 publications

References 48 publications

Axisymmetric contact analysis of piezoelectric materials with surface effect

Axisymmetric contact analysis of piezoelectric materials with surface effect

Surface effect on band structure of flexural wave propagating in magneto-elastic phononic crystal nanobeam

Modeling of smart magnetically affected flexoelectric/piezoelectric nanostructures incorporating surface effects

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