Abstract
Cylindrical shell structures are highly susceptible to buckling phenomena when they experience compressive stress. In fact, there are few experimental researches that give the real behavior of a cylindrical shell submitted to pure bending, especially thin shells. This is due to the difficulty of pure bending applying to such thin shells and that such structures behavior under bending is frequently considered rather similar to pure compression. This chapter describes an experimental investigation of a procedure including a system for applying pure bending to cylindrical shells with radius to thickness ratio equals 155. The instrumentation consists of a new loading system in which the pure bending is applied using concentrated loads at the ends of the test model. Ultimately, the critical values for moments as well as buckling modes were compared with finite element (FE) results.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Flügge, W.: Die Stabilität der Kreiszylinderschale. Ing. Arch. 3, 463–506 (1932)
Timoshenko, S.: Einige Stabilitatsprobleme der Elastizitatstheorie. Zeitshcrift für Math. Phys. 58, 337–385 (1910)
Lorenz, R.: Achsensymmetrische Verzerrungen in dünnwandigen Hohlzylinder. Z. Vereines Deutscher Ing. 52, 1706–1713 (1908)
Southwell, R.W.: On the general theory of elastic stability. Philos. Trans. R. Soc. Lond. Ser. A 213, 187–244 (1914)
Lundquist, E.E.: Strength tests of thin-walled duralumin cylinders in pure bending. NACA Report 479 (1933)
Donnell, L.H.: A new theory for the buckling of thin cylinders under axial compression and bending. Trans. ASME 56, 795–806 (1934)
Brazier, L.G.: On the flexure of thin cylindrical shells and other “thin” sections. Proc. R. Soc. Ser. A 116, 104–114 (1927)
Chwalla, E.: Reine Biegung schlanker, dünnwandiger Rohre mit gerader Achse. Zeitschrift für angewandete Mathematik und Mechanik 13(1), 48–53 (1933)
Singer, J.: Buckling experiments: experimental methode in buckling of thin-walled structures, vol. 2. Wiley, New York (2002)
Imperial, F.F.: The criterion of elastic instability of thin duralumin tubes subjected to bending. MS Thesis, Department of Mechanical Engineering, University of California (1932)
Seide, P., Weingarten VI.: On the buckling of circular cylindrical shells under pure bending. J. Appl. Mech. ASME 28, 112–116 (1961)
Reddy, B.D.: An experimental study of the plastic buckling of circular cylinders in pure bending. Int. J. Solids Struct. 15, 669–683 (1979)
Kyriakides, S., Ju, G.T.: Bifurcation and localization instabilities in cylindrical shells under bending. I. Experiments. Int. J. Solids Struct. 29, 1117–1142 (1992)
Ju, G.T., Kyriakides, S.: Bifurcation and localization instabilities in cylindrical shells under bending. II. Predictions. Int. J. Solids Struct. 29, 1143–1171 (1992)
Libai, A., Bert, C.W.: A mixed variational principle and its application to the nonlinear bending problem of orthotropic tubes—II: application to nonlinear bending of circular cylindrical tubes. Int. J. Solids Struct. 31(7), 1019–1033 (1994)
Tatting, B.F., Gürdal, Z., Vasiliev, V.V.: The Brazier effect for finite length composite cylinders under bending. Int. J. Solids Struct. 34, 1419–1440 (1997)
Stephens, W.B., Starnes Jr, J.H.: Collapse of long cylindrical shells under combined bending and pressure loads. AIAA J. 13(1), 20–25 (1975)
Fabian, O.: Collapse of cylindrical, elastic tubes under combined bending, pressure and axial loads. Int. J. Solids Struct. 13, 1257–1270 (1977)
Babcock, C.D.: Experiments in shell buckling. In: Fung, Y.C., Sechler, E.E. (eds.) Thin-Shell Structures, Theory; Experiments and Design, pp. 345–369. Prentice-Hall, Englewood Cliffs (1974)
Singer, J.: Buckling experiments on shells-a review of recent developments. Solid Mech. Arch. 7, 213–313 (1982)
Thompson, J.M.T.: Making of thin metal shells for model stress analysis. J. Mech. Eng. Sci. 2(2), 105–108 (1960)
Golzan, B.S., Showkati, H.: Buckling of thin-walled conical shells under uniform external pressure. Thin-Walled Struct. 46, 516–529 (2008)
Singer, J., Abramovich, H.: The development of shell imperfection measurement techniques. Thin-Walled Struct. 23, 379–398 (1995)
Showkati, H., Shahandeh, R.: Experiments on the buckling behavior of ring-stiffened pipelines under hydrostatic pressure, ASCE. J. Eng. Mech. 136, 464–471 (2010)
ABAQUS, Documentation and help, Version 6.6
Riks, E.: An incremental approach to the solution of snapping and buckling problems. Int. J. Solids Struct. 15, 529–551 (1979)
Bai, Y.: Pipelines and risers, vol. 3. Elsevier Ocean Engineering Book Series, London (2001)
Venstel, E., Krauthammer, T.: Thin plates and shells, theory, analysis and application. p. 3. Marcel Dekker, New York (2001)
Acknowledgments
The authors would like to put across gratitude to the Structures Laboratory of Urmia University specially the technician Mr. Azimzadeh. The authors also want to thank Prof. A. Behravesh for encouraging this work. Lastly but not least the authors would like to thank Dr. Hodjat Shiri from the University of Western Australia to his valuable remarks and many discussions regarding this research.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Ghanbari Ghazijahani, T., Showkati, H. (2012). Bending Experiments on Thin Cylindrical Shells. In: Öchsner, A., da Silva, L., Altenbach, H. (eds) Materials with Complex Behaviour II. Advanced Structured Materials, vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22700-4_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-22700-4_7
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22699-1
Online ISBN: 978-3-642-22700-4
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)