Two-dimensional theory of piezoelectric shells considering surface effect

被引：33
|
作者：
Zhang, Chunli [1 ,2 ]
Zhu, Jun [3 ]
Chen, Weiqiu [2 ]
Zhang, Ch. [1 ]
机构：
[1] Univ Siegen, Dept Civil Engn, D-57068 Siegen, Germany
[2] Zhejiang Univ, Dept Engn Mech, Hangzhou 310027, Zhejiang, Peoples R China
[3] Zhejiang Univ Technol, Coll Mech Engn, Hangzhou 310032, Zhejiang, Peoples R China
来源：
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS | 2014年 / 43卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Two-dimensional theory; Surface effects; Piezoelectric shells; ELASTIC FILMS; BEHAVIOR; VIBRATION; STRESS; WAVES;
D O I：
10.1016/j.euromechsol.2013.09.007
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Two-dimensional (2D) general equations of piezoelectric shells with nano-thickness are presented in an orthogonal curvilinear coordinate system, in which the surface effect is considered by treat the shell as a bulk core plus two surface layers. The general 2D equations can be directly degenerated into those of particular shells such as flat plates, cylindrical shells and so on by setting the Lame coefficients and the principal radii of curvature to certain values. Using the derived 2D equations of cylindrical shells, the free vibration of a radially polarized piezoelectric cylindrical shell of finite length is analyzed. Numerical results show that the surface effect has a remarkable influence on the natural frequency of the shell at the nano-scale. (C) 2013 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：109 / 117
页数：9
相关论文
共 50 条
  • [21] The effect of diffusion on two-dimensional problem of generalized thermoelasticity with Green-Naghdi theory
    Othman, Mohamed I. A.
    Atwa, Sarhan Y.
    Farouk, R. M.
    INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2009, 36 (08) : 857 - 864
  • [22] Theory of charged impurity scattering in two-dimensional graphene
    Adam, S.
    Hwang, E. H.
    Rossi, E.
    Das Sarma, S.
    SOLID STATE COMMUNICATIONS, 2009, 149 (27-28) : 1072 - 1079
  • [23] Buckling and vibration of the two-dimensional quasicrystal cylindrical shells under axial compression
    Li, Y. S.
    Feng, W. J.
    Zhang, Ch.
    APPLIED MATHEMATICAL MODELLING, 2017, 50 : 68 - 91
  • [24] Vibration and buckling analysis of a piezoelectric nanoplate considering surface effects and in-plane constraints
    Yan, Z.
    Jiang, L. Y.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2012, 468 (2147): : 3458 - 3475
  • [25] A two-dimensional lattice hydrodynamic model considering shared lane marking
    Liu, Yi
    Wong, C. K.
    PHYSICS LETTERS A, 2020, 384 (27)
  • [26] A two-dimensional analysis of surface acoustic waves in finite elastic plates with eigensolutions
    WANG Ji
    Science China(Physics,Mechanics & Astronomy), 2007, (05) : 631 - 649
  • [27] A, two-dimensional analysis of surface acoustic waves in finite elastic plates with eigensolutions
    Ji, Wang
    JianKe, Du
    QiaoQiao, Pan
    SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY, 2007, 50 (05): : 631 - 649
  • [28] A two-dimensional analysis of surface acoustic waves in finite elastic plates with eigensolutions
    Ji Wang
    JianKe Du
    QiaoQiao Pan
    Science in China Series G: Physics, Mechanics and Astronomy, 2007, 50 : 631 - 649
  • [29] Two-dimensional Hertzian contact problem with surface tension
    Long, J. M.
    Wang, G. F.
    Feng, X. Q.
    Yu, S. W.
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2012, 49 (13) : 1588 - 1594
  • [30] Reduction of the classical electromagnetism to a two-dimensional curved surface
    Radozycki, Tomasz
    JOURNAL OF MODERN OPTICS, 2019, 66 (09) : 1029 - 1037
12345