A model for electroelastic plates under biasing fields with applications in buckling analysis

被引:20
作者
Hu, YT [1 ]
Yang, JS
Jiang, Q
机构
[1] Huazhong Univ Sci & Technol, Dept Mech, Wuhan 430074, Peoples R China
[2] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116023, Peoples R China
[3] Univ Nebraska, Dept Engn Mech, Lincoln, NE 68588 USA
[4] Univ Calif Riverside, Dept Mech Engn, Riverside, CA 92521 USA
基金
中国国家自然科学基金;
关键词
buckling; flexure; shear deformations; electroelastic;
D O I
10.1016/S0020-7683(02)00122-1
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper presents a theoretical model for coupled extension and flexure with shear deformations of an electroelastic plate under biasing fields. The governing equations of this model, defined in the middle plane of the plates, are derived from the full three-dimensional theory of electroelasticity for small fields superposed upon finite biasing fields, under the assumption that the stress component normal to the plate vanishes identically. As examples to illustrate the applications of this model, the authors include their analysis of buckling of three plates, one single-layered plate and two double-layered plates (i.e., bimorphs) of distinct poling configurations. This analysis indicates that the electromechanical coupling strengthens the plates against buckling. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:2629 / 2642
页数:14
相关论文
共 23 条
[1]  
[Anonymous], 1955, INTRO MATH THEORY VI
[2]  
AULD BA, 1973, ACOUSTIC FIELDS WAVE, V1, P357
[3]  
Ballantine D.S., 1997, ACOUSTIC WAVE SENSOR
[4]   NONLINEAR ELECTROELASTIC EQUATIONS FOR SMALL FIELDS SUPERPOSED ON A BIAS [J].
BAUMHAUER, JC ;
TIERSTEN, HF .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1973, 54 (04) :1017-1034
[5]   NONLINEAR, ELASTIC, PIEZOELECTRIC, ELECTROSTRICTIVE, AND DIELECTRIC-CONSTANTS OF LITHIUM-NIOBATE [J].
CHO, Y ;
YAMANOUCHI, K .
JOURNAL OF APPLIED PHYSICS, 1987, 61 (03) :875-887
[6]  
DERESIEWICZ H, 1989, COLLECTED PAPERS RD, V2
[7]  
DERESIEWICZ H, 1989, COLLECTED PAPERS RD, V1
[8]  
IESAN D, 1989, PRESTRESSED BODIES
[9]   HIGH-FREQUENCY VIBRATIONS OF CRYSTAL PLATES UNDER INITIAL STRESSES [J].
LEE, PCY ;
WANG, YS ;
MARKENSCOFF, X .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1975, 57 (01) :95-105
[10]   FREQUENCY-TEMPERATURE BEHAVIOR OF THICKNESS VIBRATIONS OF DOUBLY ROTATED QUARTZ PLATES AFFECTED BY PLATE DIMENSIONS AND ORIENTATIONS [J].
LEE, PCY ;
YONG, YK .
JOURNAL OF APPLIED PHYSICS, 1986, 60 (07) :2327-2342