TECHNICAL PAPERS
Dec 1, 1991

Stability of Inelastic Tubes under External Pressure and Bending

Publication: Journal of Engineering Mechanics
Volume 117, Issue 12

Abstract

This paper investigates the stability of externally pressurized tubes subjected to bending. A rigorous analytical technique based on the finite element method and accounting for geometric and material nonlinearities is described. Its advantages over existing analytical tools include the capability of simulating tubes of arbitrary thickness and the introduction of a “pressure node, “which facilitates the transition over limit pressure points. The formulation is applicable to pipe analysis in two as well as three dimensions. Results, presented in the form of pressure‐curvature interaction diagrams, indicate good agreement with the available experimental data. In agreement with earlier work, it is shown that ultimate tube strength is sensitive to loading path. A simple stability criterion is employed and leads to proper characterization of instability for all histories of pressure and curvature. Finally, the three‐dimensional simulation of the common experimental procedure, in which end rotations are applied to the specimen by means of welded plates, shows that curvature may not be nearly constant lengthwise, and, therefore, care must be exercised in extracting a characteristic value that is independent of end conditions. Suggestions, based on findings from several three‐dimensional analyses, are made concerning this matter.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Ades, C. S. (1957). “Bending strength of tubing in the plastic range.” J. Aeronaut. Set, 24, 605–610.
2.
Ahmad, S., Irons, B. M., and Zienckiewicz, O. C., (1970). “Analysis of thick and thin shell structures by curved finite elements.” Int. J. Numer. Meth. Engrg., 2, 419–451.
3.
Brazier, L. G. (1927). “On the flexure of thin cylindrical shells and other thin sections.” Proc. Royal Soc. A, 166, 104–114.
4.
Corona, E., and Kyriakides, S. (1988a). “On the collapse of inelastic tubes under combined bending and pressure.” Int. J. Sol. Struct., 24, 505–535.
5.
Corona, E., and Kyriakides, S. (1988b). “Collapse of pipelines under combined bending and external pressure.” Proc., Int. Conf. on the Behavior of Offshore Structures, 3, 953–964.
6.
Fabian, O. (1977). “Collapse of cylindrical, elastic tubes under combined bending, pressure and axial loads.” Int. J. Sol. Struct., 13, 1257–1270.
7.
Fabian, O. (1981). “Elastic‐plastic collapse of long tubes under combined bending and pressure loads.” Ocean Engrg., 8, 295–330.
8.
Fowler, J. R. (1990). “Large scale tests.” Proc, Seminar on Collapse of Offshore Pipelines.
9.
Gellin, S. (1980). “The plastic buckling of long cylindrical shells under pure bending.” Int. J. Sol. Struct., 10, 397–407.
10.
Johns, T. G., and McConnell, D. P. (1983). “Response and stability of elastoplastic circular pipes under combined bending and external pressure.” Proc., 11th Pipeline Technology Conf.
11.
Karamanos, S. A. (1991). “Stability of deep‐water pipelines under combined loading,” thesis presented to the University of Texas at Austin, Texas, in partial fulfillment of the requirements for the degree of Master of Science.
12.
Katsounas, A. T., and Tassoulas, J. L. (1989). “Finite element analysis of propagating buckles in deep‐water pipelines.” Report No. 1, Offshore Technology Research Center, The University of Texas, Austin, Texas.
13.
Kyriakides, S., and Shaw, P. K. (1982). “Response and stability of elasto‐plastic circular pipes under combined bending and external pressure.” Int. J. Sol. Struct., 18, 957–973.
14.
Murphey, C. E., and Langner, C. G. (1985). “Ultimate strength under bending collapse and fatigue.” Fourth Int. Offshore and Arctic Engineering Symp., 1, 467–477.
15.
Needleman, A. (1982). “Finite elements for finite strain plasticity problems.” Plasticity of metals at finite strain: Theory, experiments and computation, E. H. Lee and R. L. Mallett, eds., Rensselaer Polytechnic Institute, Troy, N.Y., 387–436.
16.
Reissner, E. (1959). “On finite bending of pressurized tubes.” J. Appl. Mech. Trans. ASME, 26, 386–392.
17.
Reissner, E. (1961). “On finite pure bending of cylindrical tubes.” Osterr. Ing.Arch., 15, 165–172.
18.
Reissner, E., and Weinitschke, H. J. (1963). “Finite pure bending of circular cylindrical tubes.” Q. Appl. Math., 10, 305–319.
19.
Row, D., Chan, E., and Langner, C. G. (1987). “Prediction of pipe collapse under external pressure, axial load and bending.” Offshore and arctic pipelines, J. S. Chung and K. Karal, eds., ASME, New York, N.Y.
20.
Sherman, D. R. (1976). “Test of circular steel tubes in bending.” J. Struct. Div., ASCE, 102(11), 2181–2195.
21.
Stephens, W. B., Starnes, J. H., Jr., and Almroth, B. O. (1975). “Collapse of long cylindrical shells under combined bending and pressure loads.” AIAA J., 13(1), 20–25.
22.
Tassoulas, J. L., Katsounas, A. T., and Song, H.‐W. (1990). “Finite element analysis of propagating buckles in deepwater pipelines.” Proc., 22nd Offshore Technology Conf., 631–638.
23.
de Winter, P. E., Stark, J. W. B., and Witteveen, J. (1985). “Collapse behaviour of submarine pipelines.” Shell structures: stability and strength, R. Narayanan, ed., Elsvier Applied Sci Publishers, 221–226.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 117Issue 12December 1991
Pages: 2845 - 2861

History

Published online: Dec 1, 1991
Published in print: Dec 1991

Permissions

Request permissions for this article.

Authors

Affiliations

Spyros A. Karamanos, Associate Member, ASCE
Grad. Student, Dept. of Civ. Engrg., The Univ. of Texas, Austin, TX 78712‐1076
John L. Tassoulas, Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg., The Univ. of Texas, Austin, TX

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share