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TECHNICAL PAPERS

The Bending of Curved Pipes With Variable Wall Thickness

[+] Author and Article Information
V. P. Cherniy

Department of Strength and Stability of Pipelines, Scientific Research Institute of Natural Gases and Gas Technologies, VNIIGAZ, Russian Joint Stock Company “GAZPROM”, Moscow 142085, Russia

J. Appl. Mech 70(2), 253-259 (Mar 27, 2003) (7 pages) doi:10.1115/1.1546262 History: Received October 23, 2001; Revised September 25, 2002; Online March 27, 2003
Copyright © 2003 by ASME
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References

Von Kármán,  Th., 1911, “Über die Formänderung dünnwandiger Rohre, insbesondere federnder Ausgleichrohre,” Z. Ver. Deut. Ing., 55 , pp. 1889–1895.
Clark, R. A., and Reissner, E., 1951, “Bending of Curved Tubes,” Advances in Applied Mechanics, Vol. II, Academic Press, San Diego, pp. 93–122.
Cheng,  D. H., and Thailer,  H. J., 1968, “In-Plane Bending of Curved Circular Tubes,” J. Eng. Ind., 90(4), pp. 666–670.
Cheng,  D. H., and Thailer,  H. J., 1970, “On Bending of Curved Circular Tubes,” J. Eng. Ind., Series B, 92(1), pp. 62–66.
Cherniy,  V. P., 2001, “Effect of Curved Bar Properties on Bending of Curved Pipes,” ASME J. Appl. Mech., 68, pp. 650–655.
ASME B16.28. Wrought Steel Butt-Welding Short Radius Elbows and Returns.

Figures

Grahic Jump Location
Bending of a curved circular pipe with variable wall thickness
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Radial displacements distribution; (a) γ=0 (solid line), (b) γ=0.1 (dashed line), (c) γ=0.2 (dotted line)
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Longitudinal strain distribution; (a) γ=0 (solid line), (b) γ=0.1 (dashed line), (c) γ=0.2 (dotted line)
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Meridional bending strain distribution; (a) γ=0 (solid line), (b) γ=0.1 (dashed line), (c) γ=0.2 (dotted line)
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Diagrams of change in the relative values of basic parameters of a curved pipe depending on the wall thickness variability factor γ; (a) s (solid line), (b) |ε1|max (in the concave part of the curved pipe) (dashed line), (c) |ε2|max (dotted line), (d) K (dash-dot line), (e) |w|max (dash-dot-dot line)

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