EI、Scopus 收录
中文核心期刊
Quick Search Issue Search Advanced Search
Volume 55 Issue 7
Jul.  2023
Turn off MathJax
Article Contents
Abstract
References
Related Articles
Guo Ziwen, Zhang Gongye, Mi Changwen. On the magnetically induced electromechanical coupling of centrosymmetric flexoelectric sandwich plate. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(7): 1517-1525. DOI: 10.6052/0459-1879-23-103
Citation: Guo Ziwen, Zhang Gongye, Mi Changwen. On the magnetically induced electromechanical coupling of centrosymmetric flexoelectric sandwich plate. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(7): 1517-1525. DOI: 10.6052/0459-1879-23-103
shu

ON THE MAGNETICALLY INDUCED ELECTROMECHANICAL COUPLING OF CENTROSYMMETRIC FLEXOELECTRIC SANDWICH PLATE

  • School of Civil Engineering, Southeast University, Nanjing 210096, China

  • Received Date: March 20, 2023
  • Accepted Date: May 08, 2023
  • Available Online: May 09, 2023
    Graphical Abstract
    • Abstract
  • The development of modern industry inspires higher requirements for material properties and structural dimensions. The design of electromechanical devices is increasingly biased towards miniaturization, high frequency and intelligence. The most recent studies demonstrate that composite materials with magnetoelectric coupling can not only achieve mutual conversion of magnetic, mechanical, and electrical energy with high magnetoelectric conversion efficiencies, but can also avoid direct contact between the structure and the mechanical driving source to achieve non-contact control, which is crucial for the creation of multifunctional micro and nanoscale devices. Based on the multi-physics structural analysis framework developed by Mindlin, this paper studies the dynamic electromechanical coupling response of a sandwich plate composed of a flexoelectric dielectric layer and two symmetric piezomagnetic layers induced by external transverse magnetic fields. The macroscopic piezomagnetic and curvature-induced flexoelectric theories are employed and the classical electromechanical coupling theory is extended to centrosymmetric materials. The dynamic numerical examples of the sandwich plate driven by a sinusoidal global magnetic field and a uniformly distributed local magnetic field show that the magnitudes of displacement and potential are frequency dependent. When the excitation frequency reaches the natural frequency, the amplitude reaches the maximum. In addition, the distribution of symmetrical piezomagnetic layer tends to improve the electromechanical coupling performance of multilayer composite plates. Both the theoretical model and numerical results provide new ideas for the optimization design of magnetic-controlled electromechanical devices.
    • FullText(HTML)
    • References (44)
  • [1]
    李东, 袁惠群. 磁致伸缩换能器耦合磁弹性模型与振动特性分析. 固体力学学报, 2011, 32(4): 365-371 (Li Dong, Yuan Huiqun. Analysis on coupling magneto-elastic characteristic of a giant magnetostrictive transducer. Chinese Journal of Solid Mechanics, 2011, 32(4): 365-371 (in Chinese)

    Li Dong, Yuan Huiqun. Analysis on coupling magneto-elastic characteristic of a giant magnetostrictive transducer. Chinese Journal of Solid Mechanics, 2011, 32(4): 365-371 (in Chinese)
    [2]
    王歆钰, 储瑞江, 魏胜男等. 应力作用下EuTiO3铁电薄膜电热效应的唯象理论研究. 物理学报, 2015, 64(11): 117701 (Wang Xinyu, Chu Ruijiang, Wei Shengnan, et al. Phenomenological theory for investigation on stress tunable electrocaloric effect in ferroelectric EuTiO3 films. Acta Physica Sinica, 2015, 64(11): 117701 (in Chinese) doi: 10.7498/aps.64.117701

    Wang Xinyu, Chu Ruijiang, Wei Shengnan et al. Phenomenological theory for investigation on stress tunable electrocaloric effect in ferroelectric EuTiO3 films. Acta Physica Sinica, 2015, 64(11): 117701 (in Chinese) doi: 10.7498/aps.64.117701
    [3]
    Qu Y, Jin F, Yang J. Temperature-induced potential barriers in piezoelectric semiconductor films through pyroelectric and thermoelastic couplings and their effects on currents. Journal of Applied Physics, 2022, 131: 094502 doi: 10.1063/5.0083759
    [4]
    张伟, 刘爽, 毛佳佳等. 磁耦合式双稳态宽频压电俘能器的设计和俘能特性. 力学学报, 2022, 54(4): 1102-1112 (Zhang Wei, Liu Shuang, Mao Jiajia, et al. Design and energy capture characteristics of magnetically coupled bistable wide band piezoelectric energy harvester. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(4): 1102-1112 (in Chinese) doi: 10.6052/0459-1879-21-676

    Zhang Wei, Liu Shuang, Mao Jia-Jia, Lai Siu-Kai, et al. Design and energy capture characteristics of magnetically coupled bistable wide band piezoelectric energy harvester. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(4): 1102-1112 (in Chinese) doi: 10.6052/0459-1879-21-676
    [5]
    Qu Y, Pan E, Zhu F, et al. Modeling thermoelectric effects in piezoelectric semiconductors: New fully coupled mechanisms for mechanically manipulated heat flux and refrigeration. International Journal of Engineering Science, 2023, 182: 103775 doi: 10.1016/j.ijengsci.2022.103775
    [6]
    Kagawa Y, Yamabuchi T. Finite element simulation of two-dimensional electromechanical resonators. IEEE Trans. Sonics Ultrason., 1974, 21(4): 275-282 doi: 10.1109/T-SU.1974.29826
    [7]
    Devoe DL. Piezoelectric thin film micromechanical beam resonators. Sensors and Actuators A-Physical, 2001, 88(3): 263-272 doi: 10.1016/S0924-4247(00)00518-5
    [8]
    Jiang X, Huang W, Zhang S. Flexoelectric nano-generator: Materials, structures and devices. Nano Energy, 2013, 2(6): 1079-1092 doi: 10.1016/j.nanoen.2013.09.001
    [9]
    Ray MC. Analysis of smart nanobeams integrated with a flexoelectric nano actuator layer. Smart Materials and Structures, 2016, 25(5): 055011 doi: 10.1088/0964-1726/25/5/055011
    [10]
    Chu Z, Pourhosseiniasl M, Dong S. Review of multi-layered magnetoelectric composite materials and devices applications. Journal of Physics D: Applied Physics, 2018, 51(24): 243001 doi: 10.1088/1361-6463/aac29b
    [11]
    Bhaskar UK, Banerjee N, Abdollahi A, et al. A flexoelectric microelectromechanical system on silicon. Nature Nanotechnology, 2016, 11(3): 263-266 doi: 10.1038/nnano.2015.260
    [12]
    Deng Q, Lv S, Li Z, et al. The impact of flexoelectricity on materials, devices, and physics. Journal of Applied Physics, 2020, 128(8): 080902 doi: 10.1063/5.0015987
    [13]
    Lan M, Yang W, Liang X, et al. Vibration modes of flexoelectric circular plate. Acta Mechanica Sinica, 2022, 38: 422063
    [14]
    Sun L, Zhang Z, Gao C, et al. Effect of flexoelectricity on piezotronic responses of a piezoelectric semiconductor bilayer. Journal of Applied Physics, 2021, 129(24): 244102 doi: 10.1063/5.0050947
    [15]
    Yan Z, Jiang LY. Flexoelectric effect on the electroelastic responses of bending piezoelectric nanobeams. Journal of Applied Physics, 2013, 113(19): 194102 doi: 10.1063/1.4804949
    [16]
    Liang X, Hu S, Shen S. Size-dependent buckling and vibration behaviors of piezoelectric nanostructures due to flexoelectricity. Smart Materials and Structures, 2015, 24: 105012 doi: 10.1088/0964-1726/24/10/105012
    [17]
    Qu Y, Jin F, Yang J. Flexoelectric effects in second-order extension of rods. Mechanics Research Communications, 2021, 111: 103625 doi: 10.1016/j.mechrescom.2020.103625
    [18]
    Zhang R, Liang X, Shen S. A Timoshenko dielectric beam model with flexoelectric effect. Meccanica, 2016, 51: 1181-1188 doi: 10.1007/s11012-015-0290-1
    [19]
    Liang X, Yang W, Hu S, et al. Buckling and vibration of flexoelectric nanofilms subjected to mechanical loads. Journal of Physics D: Applied Physics, 2016, 49(11): 115307 doi: 10.1088/0022-3727/49/11/115307
    [20]
    曹彩芹, 陈晶博, 李东波. 考虑电场梯度的挠曲电纳米板弯曲性能分析. 力学学报, 2022, 54(11): 3088-3098 (Cao Caiqin, Chen Jingbo, Li Dongbo. Bending performance analysis of flexoelectric nanoplate considering electric field gradients. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(11): 3088-3098 (in Chinese) doi: 10.6052/0459-1879-22-282

    Cao Caiqin, Chen Jingbo, Li Dongbo. Bending performance analysis of flexoelectric nanoplate considering electric field gradients. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(11): 3088-3098 (in Chinese) doi: 10.6052/0459-1879-22-282
    [21]
    宋铭, 鄢之. 考虑挠曲电效应的压电纳米薄板力-电-热耦合特性研究. 固体力学学报, 2020, 41(5): 444-454 (Song Ming, Yan Zhi. Thermo-electro-mechanical properties of piezoelectric nanoplates with flexoelectricity. Chinese Journal of Solid Mechanics, 2020, 41(5): 444-454 (in Chinese) doi: 10.19636/j.cnki.cjsm42-1250/o3.2020.025

    Song Ming, Yan Zhi. Thermo-electro-mechanical properties of piezoelectric nanoplates with flexoelectricity. Chinese Journal of Solid Mechanics, 2020, 41(5): 444-454 (in Chinese) doi: 10.19636/j.cnki.cjsm42-1250/o3.2020.025
    [22]
    Fu Y, Wang J, Mao Y. Nonlinear analysis of buckling, free vibration and dynamic stability for the piezoelectric functionally graded beams in thermal environment. Applied Mathematical Modelling, 2012, 36(9): 4324-4340 doi: 10.1016/j.apm.2011.11.059
    [23]
    Cui N, Wu W, Zhao Y, et al. Magnetic force driven nanogenerators as a noncontact energy harvester and sensor. Nano Letters, 2012, 12(7): 3701-3705 doi: 10.1021/nl301490q
    [24]
    Peng M, Zhang Y, Liu Y, et al. Magnetic-mechanical-electrical-optical coupling effects in GaN-based LED/rare-earth terfenol-D structures. Advanced Materials, 2014, 26(39): 6767-6772 doi: 10.1002/adma.201402824
    [25]
    Scott JF. Applications of modern ferroelectrics. Science, 2007, 315(5814): 954-959 doi: 10.1126/science.1129564
    [26]
    Chen XZ, Hoop M, Shamsudhin N, et al. Hybrid magnetoelectric nanowires for nanorobotic applications: fabrication, magnetoelectric coupling, and magnetically assisted in vitro targeted drug delivery. Advanced Materials, 2017, 29(8): 1605458 doi: 10.1002/adma.201605458
    [27]
    Tan K, Wen X, Deng Q, et al. Soft rubber as a magnetoelectric material—Generating electricity from the remote action of a magnetic field. Materials Today, 2021, 43: 8-16 doi: 10.1016/j.mattod.2020.08.018
    [28]
    Van Den Boomgaard J, Van Run A, Suchtelen JV. Magnetoelectricity in piezoelectric-magnetostrictive composites. Ferroelectrics, 1976, 10(1): 295-298 doi: 10.1080/00150197608241997
    [29]
    Ryu J, Carazo AV, Uchino K, et al. Magnetoelectric properties in piezoelectric and magnetostrictive laminate composites. Japanese Journal of Applied Physics, 2001, 40(8R): 4948 doi: 10.1143/JJAP.40.4948
    [30]
    Li DB, Yan JQ, Chen JB, et al. Magnetically-induced flexoelectric effects in the second-order extension of a composite fiber with piezomagnetic and flexoelectric layers. International Journal of Applied Mechanics, 2021, 13(7): 2150083 doi: 10.1142/S1758825121500836
    [31]
    Mindlin RD. High frequency vibrations of piezoelectric crystal plates. International Journal of Solids and Structures, 1972, 8(7): 895-906 doi: 10.1016/0020-7683(72)90004-2
    [32]
    Yang J. The Mechanics of Piezoelectric Structures. Singapore: World Scientific, 2006
    [33]
    Mindlin RD, Tiersten HF. Effects of couple-stresses in linear elasticity. Archive for Rational Mechanics and Analysis, 1962, 11: 415-448 doi: 10.1007/BF00253946
    [34]
    Toupin R. Elastic materials with couple-stresses. Archive for Rational Mechanics and Analysis, 1962, 11(1): 385-414 doi: 10.1007/BF00253945
    [35]
    Koiter WT. Couple-stresses in the theory of elasticity. Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen. Series B, 1964, 67: 17-44
    [36]
    Qu YL, Zhang GY, Fan YM, et al. A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects. Part I: Reconsideration of curvature-based flexoelectricity theory. Mathematics and Mechanics of Solids, 2022, 26(11): 1647-1659
    [37]
    Li A, Zhou S, Qi L, et al. A flexoelectric theory with rotation gradient effects for elastic dielectrics. Modelling and Simulation in Materials Science and Engineering, 2016, 24: 015009 doi: 10.1088/0965-0393/24/1/015009
    [38]
    Qu Y, Guo Z, Jin F, et al. A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects. Part II: Variational formulations and applications in plates. Mathematics and Mechanics of Solids, 2022, 27(12): 2567-2587 doi: 10.1177/10812865221075768
    [39]
    Zhang G, Qu Y, Guo, Z, et al. Magnetically induced electric potential in first-order composite beams incorporating couple stress and its flexoelectric effects. Acta Mechanica Sinica, 2021, 37: 1509-1519 doi: 10.1007/s10409-021-01137-4
    [40]
    Guo Z, Qu Y, Zhang G, et al. Magnetically induced electromechanical fields in a flexoelectric composite microplate. Mathematics and Mechanics of Solids, 2023, 28(4): 1091-1110 doi: 10.1177/10812865221112172
    [41]
    Gao XL, Zhang GY. A non-classical Mindlin plate model incorporating microstructure, surface energy and foundation effects. Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, 2016, 472(2191): 20160275 doi: 10.1098/rspa.2016.0275
    [42]
    Sze SM, Ng KK. Physics of Semiconductor Devices. 3rd ed. New York: Wiley, 2006
    [43]
    Qu Y, Jin F, Yang J. Magnetically induced charge redistribution in the bending of a composite beam with flexoelectric semiconductor and piezomagnetic dielectric layers. Journal of Applied Physics, 2021, 129: 064503 doi: 10.1063/5.0039686
    [44]
    Jiang S, Li X, Guo S, et al. Performance of a piezoelectric bimorph for scavenging vibration energy. Smart Materials and Structures, 2005, 14: 769-774 doi: 10.1088/0964-1726/14/4/036
    • Related Articles

  • Related Articles

    [1]Lu Chuanhao, Zhou Yuqi, Cao Yong, Li Jie, Liu Zhifang, Chen Long. RESEARCH AND OPTIMIZATION OF IMPACT RESISTANCE OF NOVEL GRADIENT CONTINUOUS CONTROLLABLE SANDWICH PANELS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(6): 1713-1726. DOI: 10.6052/0459-1879-23-569
    [2]Xue Xiao, Zhang Junhua, Sun Ying, Quan Tiehan. VIBRATIONAL CHARACTERISTICS OF HONEYCOMB SANDWICH CANTILEVER PLATE WITH CURVED-WALL CORE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(11): 3169-3180. DOI: 10.6052/0459-1879-22-305
    [3]Ren Shuwei, Xin Fengxian, Lu Tianjian. VIBROACOUSTIC PERFORMANCE OF SIMPLY SUPPORTED HONEYCOMB SANDWICH PANELS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(3): 349-358. DOI: 10.6052/0459-1879-12-280
    [4]Guiping Zhao, Tianjian Lu. Dynamic response of cellular metallic sandwich plates under impact loading[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(2): 194-206. DOI: 10.6052/0459-1879-2008-2-2007-129
    [5]Finite Element Of Elasticity With Couple-Stress Using The Analogy Between Plane Couple-Stress And Reissner/Mindlin Plate Bending[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(3): 272-280. DOI: 10.6052/0459-1879-2004-3-2003-203
    [6]利用对称性寻找浑沌运动[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(3): 380-384. DOI: 10.6052/0459-1879-1993-3-1995-656
    [7]CENTROSYMMETRIC CHAOS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(1): 55-58. DOI: 10.6052/0459-1879-1992-1-1995-711
    [8]A COMPLEX VARIABLE BOUNDARY ELEMENT METHOD FOR SANDWICH PLATES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(2): 163-170. DOI: 10.6052/0459-1879-1990-2-1995-927

Catalog

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (713) PDF downloads (105) Cited by()
    Related

    Download Center

    Author Center

    Copyright © Editorial Office of the Chinese Journal of Mechanics   京ICP备05039218号-1

    Address：15 Beishihuan Xi Lu, Haidian District, Beijing, China   China Pos：100190

    Tel：010-62536271

    Email：lxxb@cstam.org.cn

    微信公众号
    RSS

    Supported by: Beijing Renhe Information Technology Co., Ltd.  Baidu Analytics

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return