Buckling Analysis of Thick-Walled Composite Pipe under External Pressure

Abstract

Composite pipe has been used in transporting corrosive fluid in many chemical processes in the petrochemical and pulp and paper industries. It is often subjected to external pressures due to process conditions (vacuum), water hammer, pump suction, and differences in elevation head. Most composite pipe designers are currently using traditional metallic pipe standards which do not take into account the anisotropic nature of composite materials. An analytical model for the buckling of orthotropic composite pipe under external pressure has been developed in this study. In this study, first-order laminated anisotropic plate theory was used to construct models of the kinematic and constitutive behavior of the composite cylinders. The Ritz Method was then applied to determine the buckling load under external pressure. Results obtained from the developed model were compared with the theory derived by Flügge for the case of metallic pipe. Due to the inclusion of shear deformation, the new model gave lower buckling loads than Flügge's results especially for the case of thick-walled pipe. Good agreement was found when comparing the developed model with experimental results provided by Fibercast Company following ASTM D 2924 for centrifugally cast composite pipe.

Keywords

laminated plate buckling composite pipe external pressure

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References

1. Kapania, R. K. 1989. "A Review on the Analysis of Laminated Shells," Journal of Pressure Vessel Technology, 111:88-96.

2. Leissa, A. W. 1985. "Buckling of Laminated Composite Plates and Shell Panels," Air Force Wright Aeronautical Lab., AFWAL-TR-85-3069.

3. Litle, W. A. 1964. Reliability of Shell Buckling Predictions, The M.I.T. Press, Cambridge, Massachusetts.

4. El Naschie, M. S. 1976. "Initial and Post Buckling of Axially Compressed Orthotropic Cylindrical Shells," AIAA Journal, 14:1502-1505.

5. Knight, N. F. and J. H. Starnes . 1985. "Postbuckling Behavior of Axially Compressed Graphite-Epoxy Cylindrical Planes with Circular Holes," Journal of Pressure Vessel Technology, 107:394-402.

6. Jun, S. M. and C. S. Hong . 1988. "Buckling Behavior of Laminated Composite Cylindrical Panels under Axial Compression," Computers and Structures, 29:479-490.

7. Hu, H.-T. 1993. "Infiuence of In-Plane Shear Nonlinearity on Buckling and Postbuckling Responses of Composite Plates and Shells," Journal of Composite Materials, 27:138-151.

8. Hui, D. and I. H. Y. Du . 1987. "Initial Postbuckling Behavior of Imperfect, Antisymmetric Cross-Ply Cylindrical Shells under Torsion," Journal of Applied Mechanics, 54:174-180.

9. Shaw, D. and G. J. Simitses . 1984. "Instability of Laminated Cylinders in Torsion," A Brief Note of ASME Transaction, Journal of Applied Mechanics, 51:188-190.

10.

10. Wilkins, D. J. and T. S. Love . 1975. "Combined Compression-Torsion Buckling Tests of Laminated Composite Cylindrical Shells," AIAA Journal, 12:885-889.

11.

11. Herakovich, C. T. and E. R. Johnson . 1981. "Buckling of Composite Cylinders under Combined Compression and Torsion-Theoretical/Experimental Correlation," ASTM STP 734, C. C. Chamis, ed., American Society for Testing and Materials, pp. 341-360.

12.

12. Whitney, J. M. 1984. "Buckling of Anisotropic Laminated Cylindrical Plates," AIAA Journal, 22:1641-1645.

13.

13. Booton, M. and R. C. Tennyson . 1978. "Buckling of Imperfect Anisotropic Circular Cylinders under Combined Loading," Proceedings AIAA/ASME 19th Structures, Structural Dynamics, Materials Conference, pp. 351-358.

14.

14. Rhodes, J. and I. H. Marshall . 1978. "Unsymmetrical Buckling of Laterally Loaded Reinforced Plastic Shells," Proceedings of the 2nd International Conference of Composite Materials (ICCM2), pp. 303-315.

15.

15. Vinson, J. R. 1975. "Methods of Analysis for Very Thick-Walled Cylindrical Shells," Journal of Engineering for Industry, 97:175-181.

16.

16. Waltz, T. L. and J. R. Vinson . 1990. "Analysis of Very Thick Walled Composite Cylindrical Shells Subjected to Axially Symmetric Loads," Proceedings of the 5th Japan-US. Conference on Composite Materials, Tokyo, Japan.

17.

17. Byon, O. and J. R. Vinson . 1992. "Stress Analysis of Laminated Thick-Walled Cylindrical Anisotropic Shells," AIAA Journal, 29:2192-2196.

18.

18. Byon, O. , J. R. Vinson and S. Sato . 1995. "Stress Analysis of Thick Walled Cross-Ply Cylindrical Shells Laminated with Hybrid Composite," Proceedings of the 7th Japan-US. Conference on Composite Materials, Tokyo, Japan.

19.

19. Chao, C. C. , T. P. Tung and Y. C. Chern . 1988. "Buckling of Thick Orthotropic Spherical Shells," Composite Structures, 9:113-137.

20.

20. Huille, A. , C. Yang and S. S. Pang . 1996. "Buckling Analysis of Thick-Walled Composite Pipe under Torsion," Journal of Pressure Vessel Technology, (accepted).

21.

21. Von Mises, R. 1914. "Critical Pressure of Cylindrical Tubes," Zeitschrift des Vereins Deutscher Ingenieure, 28(19).

22.

22. 1992. Figerglass Pipe Handbook, second edition, The Composites Institute of the Society of the Plastics Industry, Inc., New York.

23.

23. 1986. "Standard Test Method for External Pressure Resistance of Reinforced Thermosetting-Resin Pipe," ASTM D 2924.

24.

24. Flugge, W. 1960. Stresses in Shells, Springer-Verlag, Berlin.

25.

25. Timoshenko, S. and S. Woinowsky-Krieger . 1959. Theory of Plates and Shells, McGraw-Hill Book Company, New York.

26.

26. Timoshenko, S. and J. M. S. Gere . 1961. Theory of Elastic Stability, second edition, McGraw-Hill Book Company, New York.

27.

27. Jones, R. M. 1975. Mechanics of Composite Materials, McGraw-Hill, New York.

28.

28. Vinson, J. R. and R. L. Sierakowski . 1986. The Behavior of Structures Composed of Composite Materials, Martinus Nijhoff, Dordercht.

29.

29. Pang, S. S. , A. Pandian and R. D. Bradshaw . 1992. "Modified Tsai-Wu Failure Criterion for Fiber-Reinforced Composite Laminates," Polymer Composites, 13:273-277.

30.

30. Zhao, Y. and S. S. Pang . 1995. "Stress-Strain and Failure Analyses of Composite Pipe under Torsion," Journal of Pressure Vessel Technology, 117:273-278.