A study on the problem of linear buckling of piezoelectric circular cylindrical shells subjected to external pressure as well as on an electric field is presented. In this paper, the structure is treated as a three-dimensional one. The results reveal that the piezoelectric effect has significant effect on the critical load, while the stress due to the uniformly applied electric field alone is not likely to cause elastic buckling. In addition, they can also be used to assess the limitation of shell theories in predicting buckling of piezoelectric smart shell structures.

1.
Baumhauer
J. C.
, and
Tiersten
H. F.
,
1973
, “
Nonlinear electroelastic equations for small fields superposed on a bias
,”
J. Acoustic Society of America
, Vol.
54
, No.
4
, pp.
1017
1033
.
2.
Chen
C. Q.
, and
Shen
Y. P.
,
1996
, “
Piezothermoelasticity analysis for circular cylindrical shell under the state of axisymmetric deformation
,”
Int. J. Engineering Science
, Vol.
34
, No.
13
, pp.
1585
1600
.
3.
Chen
C. Q.
,
Shen
Y. P.
, and
Wang
X. M.
,
1996
a, “
Exact solution of orthotropic cylindrical shell with piezoelectric layers under cylindrical bending
,”
Int. J. Solids and Structures
, Vol.
33
, No.
30
, pp.
4481
4494
.
4.
Chen, C. Q., and Shen, Y. P., 1996b, “Incremental variational principles for finitely deformed piezothermoelastic media,” Acta Solids Mechnica Sinica, submitted for publication.
5.
Lekhnitskii, S. G., 1981, Theory of elasticity of an anisotropic elastic body, Mir Publishers, Moscow, Russia.
6.
Miller
S. E.
, and
Abramovich
H.
,
1995
, “
A self-sensing piezolaminated actuator model for shells using a first shear deformation theory
,”
J. Intelligent Material Systems and Structures
, Vol.
6
, pp.
624
638
.
7.
Kardomateas
G. A.
,
1993
, “
Buckling of Thick Orthtropic Cylindrical Shells Under External Pressure
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
60
, pp.
195
202
.
8.
Kuang, Z. B., 1989, Foundation of nonlinear continuum mechanics, Xi’an Jiaotong University Press, Xi’an, China.
9.
Tzou
H. S.
,
1992
, “
Anew distributed sensors and actuator theory for intelligent shells
,”
J. Sound Vibration
, Vol.
153
, pp.
335
349
.
10.
Tzou
H. S.
, and
Gadar
M.
,
1989
, “
Theoretical analysis of a multilayered thin shell coupled with piezoelectric shell actuators for distributed vibration controls
,”
J. Sound Vibration
, Vol.
132
, pp.
433
450
.
11.
Tzou
H. S.
, and
Tseng
C. L.
,
1991
, “
Distributed Modal Identification and Vibration Control of Continua: Piezoelectric Element Formulation and Analysis
,
ASME Journal of Dynamic Systems, Measurement, and Control
, Vol.
113
, pp.
500
505
.
12.
Tzou
H. S.
, and
Ye
R.
,
1994
, “
Piezothermoelasticity and Precision Control of Piezoelectric Systems
,
ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol.
116
, pp.
489
495
.
13.
Tzou
H. S.
,
Zhong
J. P.
, and
Holkamp
J. J.
,
1994
, “
Spatially distributed orthogonal piezoelectric shell actuators: theory and application
,”
J. Sound Vibration
, Vol.
177
, pp.
363
378
.
14.
Washizu, K., 1982, Variational methods in elasticity and plasticity, Pergamon Press, 3rd ed., New York.
This content is only available via PDF.
You do not currently have access to this content.