TECHNICAL PAPERS
Mar 1, 1996

Pipeline Beam Models Using Stiffness Property Deformation Relations

Publication: Journal of Transportation Engineering
Volume 122, Issue 2

Abstract

This paper first reviews the large displacement formulation of the soil-beam pipeline interaction problem. It then demonstrates that two methods of integration, namely, one-dimensional integration of section-property-deformation relationships and three-dimensional volume integration, yield the same results for finite element analysis of pipe that does not buckle and for deformation paths of typical settlements, even though the section-property-deformation relationships are, theoretically, nonintegrable. Similar results are demonstrated for a softening material. Based on the fact that the characteristics of section-property-deformation curves that include the effect of wrinkling can be simulated by this latter type curve, it argues that the analyses have established a reliable method of analysis for a pipe that deforms into the local buckling range. It also demonstrates that the effect of softening is to create a localized area in which the curvatures concentrate, that is, a wrinkle forms, while curvatures at other locations decrease. The section-property-deformation relationships used in the solution of the problems are extracted from three-dimensional shell analyses.

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References

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Bathe, K. J. (1982). Finite element procedures in engineering analysis . Prentice-Hall Inc., Englewood Cliffs, N.J.
2.
Bushnell, D. (1974). “Bifurcation buckling of shells of revolution including large deflections, plasticity and creep.”Int. J. Solids and Struct., Vol. 10, 1287–1305.
3.
Canuck Engineering, Ltd. (1983). “Norman Wells to Zama Pipeline—structural analysis and soil-pipe interaction study.”Rep. Prepared for Interprovincial Pipe Line Co. (NW) Ltd., Edmonton, Alberta, Canada.
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Murray, D. W., and Wilson, E. L.(1969). “Finite-element large deflection analysis of plates.”J. Engrg. Mech. Div., ASCE, 95(1), 143–165.
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Nyman, K. J. (1983). “Thaw settlement analysis for buried pipelines in permafrost.”Pipelines in adverse environments—II, Proc., Conf. by Pipeline Div., Mark B. Pickell, ed., ASCE, New York, N.Y., 300–325.
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SSD. (1989). PIPLIN-III, computer program for stress and deformation analysis of pipelines, Structural Software Development, Inc. (SSD), Berkeley, Calif.
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Zhou, Z., and Murray, D. W. (1993a). “Numerical analysis of buried pipelines.”Struct. Engrg. Rep. 181, Dept. of Civ. Engrg., Univ. of Alberta, Edmonton, Alberta, Canada.
8.
Zhou, Z., and Murray, D. W. (1993b). “Behavior of pipelines subjected to imposed deformations.”Proc., 12th Int. Conf. on Offshore Mech. and Arctic Engrg.—Pipeline Technol., Vol. V, ASME, New York, N.Y., 115–122.
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Zhou, Z., and Murray, D. W. (1993c). “Towards rational deformation limit states for buried pipelines.”Proc., 3rd Int. and Offshore Polar Engrg. Conf., Vol. II, 18–24.
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Zhou, Z., and Murray, D. W.(1995). “Analysis of postbuckling behavior of line pipe subjected to combined loads.”Solids and Struct., 32(20), 3015–3036.
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Information & Authors

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Published In

Go to Journal of Transportation Engineering
Journal of Transportation Engineering
Volume 122Issue 2March 1996
Pages: 164 - 172

History

Published online: Mar 1, 1996
Published in print: Mar 1996

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Authors

Affiliations

Zhilong Zhou
Res. Engr., Nova Alberta Gas Transmission Ltd., P.O. Box 2535, Station M, Calgary, Canada T2P 2N6.
D. W. Murray, Life Member, ASCE
Emeritus Prof. of Civ. Engrg., Univ. of Alberta, Edmonton, Canada, T6G 2G7.

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