Abstract
An analytical model describing the instability of specially orthotropic composite tubes with geometric imperfections subject to biaxial compressive loads and under clamped-clamped boundary conditions is developed. Furthermore, the range of validity of the present solution is clarified, and comparisons are made to some studies on isotropic cylindrical shells. Six E-glass woven fabric-epoxy composite tubes with the same internal radius and different thicknesses and longitudinal lengths were fabricated and subjected to various combinations of external hydrostatic pressure and axial compressive load simultaneously. The normalized buckling stresses were found to agree in general with the theoretical predictions at various biaxial loadings. The buckling envelopes in normalization form provide useful design data on the strength of specially orthotropic composite tubes under a realistic range of biaxial loading conditions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Hess, T.E., “Stability of Orthotropic Cylindrical Shells Under Combined Loading,”J. Am. Rocket Soc.,31,237–241 (1961).
Cheng, S. andHo, B.P.C., “Stability of Heterogeneous Aerolotropic Cylindrical Shells Under Combined Loading,”AIAA J.,1 (4),892–898 (1963).
Lei, M.M. andCheng, S., “Buckling of Composite and Homogeneous Isotropic Cylindrical Shells Under Axial and Radial Loading,”J. Appl. Mech., Trans ASME,36 791–798 (1969).
Jones, R.M. andMorgan, H.S., “Buckling and Vibration of Crossply Laminated Circular Cylindrical Shells,”AIAA J.,13,664–671 (1975).
Jones, R.M. and Hennemann, J.C.F., “Effect of Prebuckling Deformations on Buckling of Laminated Composite Circular Cylindrical Shells,” Proc. AIAA 19th Structures, Structural Dynamics and Material Conf., Bethesda, MD, 370–379 (April 1978).
Hui, D. andDu, I.H.Y., “Initial Postbuckling Behavior of Imperfect, Antisymmetric Cross-ply Cylindrical Shells Under Torsion,”ASME J. Appl. Mech.,54,174–180 (1987).
Khot, N.S., “Buckling and Postbuckling Behavior of Composite Cylindrical Shells Under Axial Compression,”AIAA J.,8 (2),229–235 (1970).
Tennyson, D.C. andMuggeridge, D.B., “Buckling of Laminated Anisotropic Imperfect Circular Cylinder Under Axial Compression,”J. Spacecraft Rockets,10,143–148 (1973).
Booton, M. andTennyson, R.C., “Buckling of Imperfect Anisotropic Circular Cylinders Under Combined Loading,”AIAA J.,17,278–287 (1979).
Simitses, G.J., Shaw, D., andSheinman, I., “Imperfection Sensitivity of Laminated Cylindrical Shells in Torsion and Axial Compression,”Composite Struct.,4 (7),335–360 (1985).
Vinson, J.R., The Behavior of Shells Composed of Isotropic and Composite Materials, Kluwer Academic, Dordrecht (1993).
Ip, K.H., “Material Parameters Estimation for Orthotropic Plates and Shells Using Modal Analysis,”Ph.D. thesis, The Hong Kong Polytechnic University, Hong Kong (1996).
Chajes, A., Principles of Structural Stability Theory, Prentice Hall, Englewood Cliffs, NJ (1974).
Ip, K.H., Chan, W.K., Tse, P.C., andLai, T.C., “Vibration Analysis of Orthotropic Thin Cylindrical Shells with Free Ends by the Rayleigh-Ritz Methods,”J. Sound Vibration,195 (1),117–135 (1996).
Young, D. and Felgar, R.P., Tables of Characteristic Functions Representing Normal Modes of Vibration of a Beam, Publication No. 4913, University of Texas (1949).
Yamaki, N. andKodama, S., “Buckling of Circular Cylindrical Shells Under Compression/Report 1,”Rep. Inst. High Speed Mech., Japan,23,99–123 (1971).
Yamaki, N., “Influence of Prebuckling Deformations on the Buckling of Circular Cylindrical Shells Under External Pressure,”Rep. Inst. High Speed Mech., Japan,21,81–104 (1969).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wong, W.H., Ip, K.H. & Tse, P.C. Buckling stresses of composite tubes under biaxial compressive loads. Experimental Mechanics 38, 126–131 (1998). https://doi.org/10.1007/BF02321655
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02321655