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

被引:10
|
作者
Ebrahimi, Farzad [1 ]
Barati, Mohammad Reza [1 ]
机构
[1] Imam Khomeini Int Univ, Fac Engn, Dept Mech Engn, POB 16818-34149, Qazvin, Iran
来源
NANOMATERIALS AND NANOTECHNOLOGY | 2017年 / 7卷
关键词
Buckling analysis; flexoelectric/piezoelectric nanobeam; surface effects; nonlocal elasticity theory; NONLOCAL ELASTICITY THEORY; FREE-VIBRATION ANALYSIS; PIEZOELECTRIC-NANOPLATE; BUCKLING ANALYSIS; POSTBUCKLING ANALYSIS; MECHANICAL VIBRATION; WAVE-PROPAGATION; FORCED VIBRATION; BEHAVIOR; BEAMS;
D O I
10.1177/1847980417713106
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
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.
引用
收藏
页数:11
相关论文
共 40 条
  • [1] Thermo-mechanical vibration analysis of nonlocal flexoelectric/piezoelectric beams incorporating surface effects
    Ebrahimi, Farzad
    Barati, Mohammad Reza
    STRUCTURAL ENGINEERING AND MECHANICS, 2018, 65 (04) : 435 - 445
  • [2] A comprehensive review on the modeling of smart piezoelectric nanostructures
    Ebrahimi, Farzad
    Hosseini, S. H. S.
    Singhal, Abhinav
    STRUCTURAL ENGINEERING AND MECHANICS, 2020, 74 (05) : 611 - 633
  • [3] Magnetically tunable bandgaps in phononic crystal nanobeams incorporating microstructure and flexoelectric effects
    Zhang, Gongye
    He, Zhuangzhuang
    Qin, Jingwen
    Hong, Jun
    APPLIED MATHEMATICAL MODELLING, 2022, 111 : 554 - 566
  • [4] Finite element modeling of mechanical behaviors of piezoelectric nanoplates with flexoelectric effects
    Le Minh Thai
    Doan Trac Luat
    Van Binh Phung
    Phung Van Minh
    Do Van Thom
    ARCHIVE OF APPLIED MECHANICS, 2022, 92 (01) : 163 - 182
  • [5] Finite element modeling of mechanical behaviors of piezoelectric nanoplates with flexoelectric effects
    Le Minh Thai
    Doan Trac Luat
    Van Binh Phung
    Phung Van Minh
    Do Van Thom
    Archive of Applied Mechanics, 2022, 92 : 163 - 182
  • [6] Modeling of a nanoscale flexoelectric energy harvester with surface effects
    Yan, Zhi
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2017, 88 : 125 - 132
  • [7] Surface and shear energy effects on vibrations magnetically affected beam-like nanostructures carrying direct currents
    Kiani, Keivan
    INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2016, 113 : 221 - 238
  • [8] Flexoelectric and surface effects on a cracked piezoelectric nanobeam: Analytical resonant frequency response
    Bastanfar, M.
    Hosseini, S. A. H.
    Sourki, R.
    Khosravi, F.
    ARCHIVE OF MECHANICAL ENGINEERING, 2019, 66 (04) : 417 - 437
  • [9] Flexoelectric and surface effects on bending deformation and vibration of piezoelectric nanolaminates: Analytical solutions
    Xiao, Junhua
    Lv, Jie
    Xia, Xiaodong
    Wang, Jie
    APPLIED MATHEMATICAL MODELLING, 2024, 135 : 541 - 558
  • [10] A new model for thermal buckling of an anisotropic elastic composite beam incorporating piezoelectric, flexoelectric and semiconducting effects
    Zhang, G. Y.
    Guo, Z. W.
    Qu, Y. L.
    Gao, X-L
    Jin, F.
    ACTA MECHANICA, 2022, 233 (05) : 1719 - 1738