驻极体薄膜揉皱变形理论及类挠曲电响应研究

刘曜华; 李俊; 冯晓满; 马建华; 王炳雷

doi:10.21656/1000-0887.450195

驻极体薄膜揉皱变形理论及类挠曲电响应研究

doi: 10.21656/1000-0887.450195

山东大学工程力学系，济南 250061

基金项目:

黄河流域协同科技创新项目（YDZX2023025）

详细信息

作者简介:
刘曜华（2001—），男（E-mail: lyhzh2001@163.com）;王炳雷（1980—），男，副教授，博士，博士生导师（通讯作者. E-mail: bwang@sdu.edu.cn).

通讯作者:
王炳雷（1980—），男，副教授，博士，博士生导师（通讯作者. E-mail: bwang@sdu.edu.cn).

中图分类号: O343
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- 文章访问数: 68
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出版历程
- 收稿日期: 2024-07-02
- 修回日期: 2024-08-19
- 网络出版日期: 2024-12-02

Study on the Electret Film Crumpling Deformation Theory and Flexoelectric-Like Responses

Department of Engineering Mechanics， Shandong University， Jinan 250061， P.R.China

摘要

摘要: 现有挠曲电俘能器存在俘能方式单一、力电耦合系数偏小且仅在微观尺度显著等问题，难以在宏观尺度上实现高效的能量转换.驻极体作为一种内嵌电荷的介电材料，其非均匀变形可诱导显著的类挠曲电响应.薄膜揉皱作为一种双向收缩的复杂变形，其高应变梯度为宏观尺度下高效俘能提供了新方式.该文将驻极体宏观尺度下的强力电耦合特性与揉皱的高应变梯度优势相结合，建立了驻极体薄膜揉皱变形理论，基于该模型分析了不同电荷密度、支撑杯半径、薄膜厚度、放缩尺度下揉皱驻极体的类挠曲电响应及能量俘获特性.结果表明，对于厚度为1 mm的驻极体薄膜，当电荷密度q=-0.2 mC·m^-2时，有效类挠曲电强度相比纯聚二甲基硅氧烷（PDMS）薄膜的本征挠曲电效应高了近两个数量级.
- 驻极体薄膜 /
- 揉皱变形 /
- 类挠曲电响应 /
- 能量俘获
Abstract: The flexoelectric energy harvesters face such challenges as the monotonous energy harvesting mode, the low electromechanical coupling coefficient, the only prominent effect on microscales, and the limited energy conversion efficiency on macroscales. The electret, as a dielectric material with embedded charges, exhibits significant flexoelectric-like responses induced by non-uniform deformation. The crumpled film in complex bidirectional contraction, provides a novel efficient energy harvesting approach due to high strain gradients on macroscales. Herein the strong macroscopic electromechanical coupling properties of electrets were combined with the advantageous high strain gradients of crumpling, to establish a deformation theory for crumpled flexoelectret films. Based on this model, the flexoelectric-like responses and energy harvesting characteristics of crumpled flexoelectret films were analyzed for different charge densities, supporting cup radii, film thicknesses, and scales. The results indicate that, for a 1 mm thick flexoelectret film, the effective flexoelectric-like intensity is 2 orders higher than that of the intrinsic flexoelectric effect of the pure PDMS film,with the charge density q=-0.2 mC·m^{-2^.}
- electret film /
- crumpling deformation /
- flexoelectric-like response /
- energy harvesting

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参考文献(30)

[2]AHMADPOOR F, SHARMA P. Flexoelectricity in two-dimensional crystalline and biological membranes[J].Nanoscale,2015,7(40): 16555-16570.

KRICHEN S, SHARMA P. Flexoelectricity: a perspective on an unusual electromechanical coupling[J].Journal of Applied Mechanics,2016,83(3): 030801.

[3]DENG Q, LIU L P, SHARMA P. Flexoelectricity in soft materials and biological membranes[J].Journal of the Mechanics and Physics of Solids,2014,62: 209-227.

[4]MA W H, CROSS L E. Observation of the flexoelectric effect in relaxor Pb(Mg_1/3Nb_2/3)O₃ ceramics[J].Applied Physics Letters,2001,78(19): 2920-2921.

[5]MAO S, PUROHIT P K. Defects in flexoelectric solids[J].Journal of the Mechanics and Physics of Solids,2015,84: 95-115.

[6]MAO S, PUROHIT P K. Insights into flexoelectric solids from strain-gradient elasticity[J].Journal of Applied Mechanics,2014,81(8): 081004.

[7]CATALAN G, LUBK A, VLOOSWIJK A H G, et al. Flexoelectric rotation of polarization in ferroelectric thin films[J].Nature Materials,2011,10(12): 963-967.

[8]MAJDOUB M S, SHARMA P, CAGIN T. Dramatic enhancement in energy harvesting for a narrow range of dimensions in piezoelectric nanostructures[J].Physical Review B,2008,78(12): 121407.

[9]YAN X, HUANG W B, KWON S R, et al. A sensor for the direct measurement of curvature based on flexoelectricity[J].Smart Materials and Structures,2013,22(8): 085016.

[10]YAN D Z, WANG J X, XIANG J W, et al. A flexoelectricity-enabled ultrahigh piezoelectric effect of a polymeric composite foam as a strain-gradient electric generator[J].Science Advances,2023,9(2): eadc8845.

[11]WANG Z H, ZHANG X X, WANG X B, et al. Giant flexoelectric polarization in a micromachined ferroelectric diaphragm[J].Advanced Functional Materials,2013,23(1): 124-132.

[12]BHASKAR U K, BANERJEE N, ABDOLLAHI A, et al. A flexoelectric microelectromechanical system on silicon[J].Nature Nanotechnology,2016,11(3): 263-266.

[13]ZHANG M Y, YAN D Z, WANG J X, et al. Ultrahigh flexoelectric effect of 3D interconnected porous polymers: modelling and verification[J].Journal of the Mechanics and Physics of Solids,2021,151: 104396.

[14]QU Y L, JIN F, YANG J S. Effects of mechanical fields on mobile charges in a composite beam of flexoelectric dielectrics and semiconductors[J].Journal of Applied Physics,2020,127(19): 194502.

[15]PETROV A G. Flexoelectricity of model and living membranes[J].Biochimica et Biophysica Acta (BBA):Biomembranes,2002,1561(1): 1-25.

[16]LIU L P, SHARMA P. Flexoelectricity and thermal fluctuations of lipid bilayer membranes: renormalization of flexoelectric, dielectric, and elastic properties[J].Physical Review E,2013,87(3): 032715.

[17]LOBKOVSKY A, GENTGES S, LI H, et al. Scaling properties of stretching ridges in a crumpled elastic sheet[J].Science,1995,270(5241): 1482-1485.

[18]KODALI P, SARAVANAVEL G, SAMBANDAN S. Crumpling for energy: modeling generated power from the crumpling of polymer piezoelectric foils for wearable electronics[J].Flexible and Printed Electronics,2017,2(3): 035005.

[19]WANG B L, YANG S Y, SHARMA P. Flexoelectricity as a universal mechanism for energy harvesting from crumpling of thin sheets[J].Physical Review B,2019,100(3): 035438.

[20]LIU Y, CHEN L L, WANG B L, et al. Tuning crumpled sheets for an enhanced flexoelectric response[J].Journal of Applied Mechanics,2022,89(1): 011011.

[21]SHARMA N D, LANDIS C M, SHARMA P. Piezoelectric thin-film superlattices without using piezoelectric materials[J].Journal of Applied Physics,2010,108(2): 024304.

[22]LIU Y, ZHAO S Y, WANG B L. Stronger flexoelectricity from the laminated film subjected to crumpling deformation[J].Journal of Applied Physics,2021,130(2): 024101.

[23]RAHMATI A H, YANG S Y, BAUER S, et al. Nonlinear bending deformation of soft electrets and prospects for engineering flexoelectricity and transverse (d_{31/sub>) piezoelectricity[J].Soft Matter,2018,15(1): 127-148.}

[24]DARBANIYAN F, DAYAL K, LIU L P, et al. Designing soft pyroelectric and electrocaloric materials using electrets[J].Soft Matter,2019,15(2): 262-277.

[25]WEN X, LI D F, TAN K, et al. Flexoelectret: an electret with a tunable flexoelectriclike response[J].Physical Review Letters,2019,122(14): 148001.

[26]CERDA E, MAHADEVAN L. Confined developable elastic surfaces: cylinders, cones and the elastica[J].Proceedings of the Royal Society A:Mathematical,Physical and Engineering Sciences,2005,461(2055): 671-700.

[27]CERDA E, CHAIEB S, MELO F, et al. Conical dislocations in crumpling[J].Nature,1999,401: 46-49.

[28]CERDA E, MAHADEVAN L. Conical surfaces and crescent singularities in crumpled sheets[J].Physical Review Letters,1998,80(11): 2358-2361.

[29]SHARMA N D, MARANGANTI R, SHARMA P. On the possibility of piezoelectric nanocomposites without using piezoelectric materials[J].Journal of the Mechanics and Physics of Solids,2007,55(11): 2328-2350.

[30]DENG Q, KAMMOUN M, ERTURK A, et al. Nanoscale flexoelectric energy harvesting[J].International Journal of Solids and Structures,2014,51(18): 3218-3225.

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驻极体薄膜揉皱变形理论及类挠曲电响应研究

doi: 10.21656/1000-0887.450195

作者简介:
刘曜华（2001—），男（E-mail: lyhzh2001@163.com）;王炳雷（1980—），男，副教授，博士，博士生导师（通讯作者. E-mail: bwang@sdu.edu.cn).

通讯作者:
王炳雷（1980—），男，副教授，博士，博士生导师（通讯作者. E-mail: bwang@sdu.edu.cn).

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Study on the Electret Film Crumpling Deformation Theory and Flexoelectric-Like Responses

计量

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留言板

驻极体薄膜揉皱变形理论及类挠曲电响应研究

doi: 10.21656/1000-0887.450195

作者简介: 刘曜华（2001—），男（E-mail: lyhzh2001@163.com）;王炳雷（1980—），男，副教授，博士，博士生导师（通讯作者. E-mail: bwang@sdu.edu.cn).

通讯作者: 王炳雷（1980—），男，副教授，博士，博士生导师（通讯作者. E-mail: bwang@sdu.edu.cn).

计量

出版历程

Study on the Electret Film Crumpling Deformation Theory and Flexoelectric-Like Responses

计量

出版历程

目录

作者简介:
刘曜华（2001—），男（E-mail: lyhzh2001@163.com）;王炳雷（1980—），男，副教授，博士，博士生导师（通讯作者. E-mail: bwang@sdu.edu.cn).

通讯作者:
王炳雷（1980—），男，副教授，博士，博士生导师（通讯作者. E-mail: bwang@sdu.edu.cn).