Postbuckling Behavior of Shear-Deformable Anisotropic Laminated Cylindrical Panels under External Lateral Pressure
Publication: Journal of Engineering Mechanics
Volume 137, Issue 11
Abstract
A postbuckling analysis for a shear-deformable anisotropic laminated cylindrical panel of finite length is presented, subjected to external lateral pressure based on a boundary-layer theory of shell buckling. The material properties of each layer of the panel are assumed to be linearly elastic. The governing equations are based on a higher-order shear-deformation shell theory with a von Kármán–Donnell type of kinematic nonlinearity and including extension/twist, extension/flexural, and flexural/twist couplings. The nonlinear prebuckling deformations and initial geometric imperfections of the panel are both taken into account. A singular perturbation technique is employed to determine the buckling loads and postbuckling equilibrium paths. The numerical illustrations concern the postbuckling behavior of perfect and imperfect moderately thick, anisotropic laminated cylindrical panels under different values of panel parameters and stacking sequence. The new finding reveals that a circumferential stress exists along with an associate shear stress and twisting when the moderately thick anisotropic laminated cylindrical panel is subjected to external lateral pressure.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The writers sincerely thank the reviewers for their comments. The work described in this paper was supported in part by grants from the National Natural Science Foundation of China (No. NNSFC50909059, NNSFC51075267), the China Postdoctoral Science Foundation (No. UNSPECIFIED20080440623), and the China Postdoctoral Science Special Foundation (No. UNSPECIFIED200902232). The writers are grateful for this financial support.
References
Batdorf, S. B. (1947). “A simplified method of elastic-stability analysis for thin cylindrical shells.” NACA TR-874.
Budiansky, B. (1968). “Notes on nonlinear shell theory.” J. Appl. Mech., 35(2), 393–401.
Fu, L., and Waas, A. M. (1995). “Initial post-buckling behaviour of thick rings under uniform external hydrostatic pressure.” J. Appl. Mech., 62, 338–345.
Han, B., and Simitses, G. J. (1991). “Analysis of anisotropic laminated cylindrical shells subjected to destabilizing loads, Part II: Numerical results.” Compos. Struct., 19, 183–205.
Li, Z. M., and Lin, Z. Q. (2010). “Non-linear buckling and postbuckling of shear deformable anisotropic laminated cylindrical shell subjected to varying external pressure loads.” Compos. Struct., 92(2), 553–567.
Li, Z. M., and Shen, H. S. (2008). “Postbuckling of shear-deformable anisotropic laminated cylindrical shell under axial compression.” Int. J. Struct. Stabil. Dynam., 8, 389–414.
Li, Z. M., and Shen, H. S. (2009). “Buckling and postbuckling analysis of shear deformable anisotropic laminated cylindrical shells under torsion.” Mech. Adv. Mater. Struct., 16(1), 46–62.
Reddy, J. N., and Liu, C. F. (1985). “A higher-order shear deformation theory of laminated elastic shells.” Int. J. Eng. Sci., 23, 319–330.
Redekop, D., and Makhoul, E. (2000). “Use of the differential quadrature method for the buckling analysis of cylindrical shell panels.” Struct. Eng. Mech., 10(5), 451–462.
Sanders, J. L. (1963). “Nonlinear theories for thin shells.” Q. Appl. Math., 21(1), 21–36.
Shen, H. S. (2003). “Postbuckling of pressure-loaded shear deformable laminated cylindrical panels.” J. Appl. Math. Mech., 24(4), 402–413.
Simitses, G. J. (1996). “Buckling of moderately thick laminated cylindrical shells: A review.” Composites, Part B Eng., 27, 581–587.
Singer, J., Meer, A., and Baruch, M. (1969). “Buckling of cylindrical panels under lateral pressure.” Aeronautical J., 73(698), 169–172.
Weaver, P. M., Driesen, J. R., and Roberts, P. (2002). “Anisotropic effects in the compression buckling of laminated composite cylindrical shells.” Compos. Sci. Technol., 62, 91–105.
Wong, K. F. W., and Weaver, P. M. (2005). “Approximate solution for the compression buckling of fully anisotropic cylindrical shells.” AIAA J., 43(12), 2639–2645.
Yamada, S., and Croll, J. G. A. (1989). “Buckling behavior of pressure loaded cylindrical panels.” J. Eng. Mech., 115(2), 327–334.
Yamada, S. (1997). “Buckling analysis for design of pressurized cylindrical shell panels.” Eng. Struct., 19(5), 352–359.
Yuan, F. G., and Hsieh, C. C. (1998). “Three-dimensional wave propagation in composite cylindrical shells.” Compos. Struct., 42, 153–167.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 137 • Issue 11 • November 2011
Pages: 749 - 758
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Aug 6, 2010
Accepted: Jun 6, 2011
Published online: Jun 8, 2011
Published in print: Nov 1, 2011
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.