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TECHNICAL PAPERS

Nonlinear Analysis of Pipe Bends Subjected to Out-of-Plane Moment Loading and Internal Pressure

[+] Author and Article Information
Hashem M. Mourad, Maher Y. A. Younan

The American University in Cairo, Engineering Department, Cairo 11511, Egypt

J. Pressure Vessel Technol 123(2), 253-258 (Jul 24, 2000) (6 pages) doi:10.1115/1.1310335 History: Received May 01, 2000; Revised July 24, 2000
Copyright © 2000 by ASME
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References

Bantlin,  A., 1910, “Formänderung und Beanspruchung federnder Ausgleichröhre,” Z. Ver. Deutsch. Ingen., 54, pp. 43–49.
Von Kármán,  Th., 1911, “Über die Formänderung dünnwandiger Röhre, insbesondere federnder Ausgleichröhre,” Z. Ver. Deutsc. Ingen., 55, pp. 1889–1895.
Vigness,  I., 1943, “Elastic Properties of Curved Tubes,” Trans. ASME, 65, pp. 105–120.
Rodabaugh,  E. C., and George,  H. H., 1957, “Effect of Internal Pressure on Flexibility and Stress-Intensification Factors of Curved Pipe or Welding Elbows,” Trans. ASME, 79, pp. 939–948.
Dodge,  W. G., and Moore,  S. E., 1972, “Stress Indices and Flexibility Factors for Moment Loadings on Elbows and Curved Pipe,” Weld. Res. Counc. Bull., 179, pp. 1–19.
Gross,  N., 1952–1953, “Experiments on Short-Radius Pipe Bends,” Proc. Ins. Mech. Eng., 1(B), pp. 465–479.
C. E.,  Turner, and H. ,  Ford1957, “Examination of the Theories for Calculating the Stresses in Pipe Bends Subjected to In-Plane Bending,” Proc. Inst. Mech. Eng., 171, pp. 513–515.
Smith,  R. T., 1967, “Theoretical Analysis of the Stresses in Pipe Bends Subjected to Out-of-Plane Bending,” J. Mech. Eng. Sci., 9, No. 2, pp. 115–123.
Smith,  R. T., and Ford,  H., 1967, “Experiments on Pipe Lines and Pipe Bends Subjected to Three-Dimensional Loading,” J. Mech. Eng. Sci., 9, No. 2, pp. 124–137.
Spence, J., 1972, “An Upper Bound Analysis for the Deformation of Smooth Pipe Bends in Creep,” 2nd International Union of Theoretical and Applied Mechanics Symposium, Creep in Structures, ed., Hult, Springer-Verlag, Berlin, pp. 234–246.
Ohtsubo, H., and Watanabe, O., 1976, “Flexibility and Stress Factors of Pipe Bends-An Analysis by the Finite Ring Method,” Trans. ASME, Paper No. 76-PVP-40, pp. 1–10.
Shalaby, M. A. 1996, “Elastic-Plastic Behavior and Limit-Load Analysis of Pipe Elbows under In-Plane Bending and Internal Pressure,” M.Sc. thesis, The American University in Cairo, Cairo, Egypt.
Shalaby,  M. A., and Younan,  M. Y. A., 1998, “Limit Loads for Pipe Elbows with Internal Pressure Under In-Plane Closing Bending Moments,” ASME J. Pressure Vessel Technol., 120, pp. 35–42.
Shalaby,  M. A., and Younan,  M. Y. A., 1998, “Nonlinear Analysis and Plastic Deformation of Pipe Elbows Subjected to In-Plane Bending,” Int. J. Pressure Vessels Piping, 75, pp. 603–611.
Shalaby,  M. A., and Younan,  M. Y. A., 1999, “Limit Loads for Pipe Elbows Subjected to In-Plane Opening Bending Moments,” ASME J. Pressure Vessel Technol., 121, pp. 17–23.
Shalaby,  M. A., and Younan,  M. Y. A., 1999, “Effect of Internal Pressure on Elastic-Plastic Behavior of Pipe Elbows Under In-Plane Bending Moments,” ASME J. Pressure Vessel Technol., 121, pp. 400–405.
Greentsreet, W. L., 1978, Experimental Study of Plastic Responses of Pipe Elbows, ORNL/NUREG-24 Report, Contract No. W-7405-eng-26.
Hilsenkopf,  P., Boneh,  B., and Sollogoub,  P., 1988, “Experimental Study of Behavior and Functional Capability of Ferritic Steel Elbows and Austenitic Stainless Steel Thin-Walled Elbows.” Int. J. Pressure Vessels Piping, 33, pp. 111–128.
ABAQUS/Standard Version 5.8, 1998, User’s Manual, Example Problems Manual, and Theory Manual, Hibbit, Karlsson and Sorensen Inc., Providence, RI.
Sobel, L. H., and Newman S. Z., 1979, Elastic-Plastic In-Plane Bending and Buckling of an Elbow: Comparison of Experimental and Simplified Analysis Results, Westinghouse Advanced Reactors Division, Report WARD-HT-94000-2.

Figures

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Integration points around the section, and across the wall, where results are obtained
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Longitudinal variation of maximum Von Mises stress, at initiation of yielding
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Longitudinal variation of maximum equivalent plastic strain, at instability
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Variation of the equivalent plastic strain with end-rotation around the first half of the section, inside wall—no internal pressure
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Variation of the equivalent plastic strain with end-rotation around the second half of the section, inside wall—no internal pressure
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Variation of the equivalent plastic strain with end-rotation around the first half of the section, inside wall—p=1200 psi
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Variation of the equivalent plastic strain with end-rotation around the second half of the section, inside wall—P=1200 psi
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Load-deflection curves of the elbow, showing number of plastic hinges developed in the pipe bend at different loading stages
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Distribution of axial stress around the section, at initiation of yielding—no internal pressure
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Distribution of hoop stress around the section, at initiation of yielding—no internal pressure
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Distribution of Von Mises stress around the section, at initiation of yielding—no internal pressure
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Distribution of equivalent plastic strain around the section, at instability—no internal pressure
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Distribution of axial stress around the section, at initiation of yielding—P=1200 psi
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Distribution of hoop stress around the section, at initiation of yielding—P=1200 psi
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Distribution of Von Mises stress around the section, at initiation of yielding—P=1200 psi
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Integration sections of the model showing the original and deformed shapes—no internal pressure
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Integration sections of the model, showing the original and deformed shapes—P=1200 psi
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Distribution of equivalent plastic strain around the section, at instability—P=1200 psi

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