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TECHNICAL PAPERS

Distortion of Rectangular Tubes in Stretch Bending

[+] Author and Article Information
Hong Zhu, Kim A. Stelson

Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455

J. Manuf. Sci. Eng 124(4), 886-890 (Oct 23, 2002) (5 pages) doi:10.1115/1.1511170 History: Received December 01, 1999; Revised July 01, 2001; Online October 23, 2002
Copyright © 2002 by ASME
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References

Timoshenko,  S. P., 1923, “Bending Stresses in Curved Tubes of Rectangular Cross-Section,” Trans. ASME, 45, pp. 135–140.
Brazier,  L. G., 1927, “On Flexure of Thin Cylindrical Shells and Other Thin Sections,” Proc. R. Soc. London, Ser. A, 116, pp. 104–114.
Gellin,  S., 1980, “The Plastic Buckling of Long Cylindrical Shells under Pure Bending,” Int. J. Solids Struct., 16, pp. 397–407.
Tatting,  B. F., and Gurdal,  Z., 1997, “The Brazier Effect for Finite Length Composite Cylinders under Bending,” Int. J. Solids Struct., 34(12), pp. 1419–1440.
Ueda,  M., Ueno,  K., and Kobayashi,  M., 1983, “Undesirable Deformation of Cross-Sectional Shape of Channels in Uniform Bending: An Investigation of Stretch Bending of Channels II,” J. Jpn. Soc. Technol. Plast., 24, pp. 954–959.
Zhang,  L. C., and Yu,  T. X., 1987, “An Investigation of the Brazier Effect of a Cylindrical Tube under Pure Elastic-plastic Bending,” Int. J. Pressure Vessels Piping, 30, pp. 77–86.
Pan,  K. R., and Stelson,  K. A., 1995, “On the Plastic Deformation of a Tube During Bending,” ASME J. Eng. Ind., 117(4), pp. 494–500.
Stelson,  K. A., and Kramer,  A., 1999, “Distortion of U-Channel Sections in Plastic Bending,” ASME J. Manuf. Sci. Eng., 121(2), pp. 208–213.
Swiatkowski,  K., and Stachowicz,  F., 1984, “Analysis of the Cross-Sectional Deformation of Box Profiles Subjected to Bending,” J. Mech. Work. Technol., 10, pp. 103–116.
Seddeik,  M. M., and Kennedy,  J. B., 1987, “Deformations in Hollow Structural Section (HSS) members Subjected to Cold Bending,” Int. J. Mech. Sci., 29, pp. 195–212.
Corona,  E., and Vaze,  S. P., 1996, “Buckling of Elastic-Plastic Square Tubes under Bending,” Int. J. Mech. Sci., 38(7), pp. 753–775.
Clausen,  A. H., Hopperstad,  O. S., and Langseth,  M., 1999, “Stretch Bending of Aluminum Extrusions: Effect of Geometry and Alloy,” J. Eng. Mech., April , pp. 392–400.
Hosford, W. F., and Caddell, P. M., 1983, Metal Forming: Mechanics and Metallurgy, Prentice-Hall, Englewood Cliffs, NJ.

Figures

Grahic Jump Location
Rectangular thin-walled tube: (a) de-formed cross sections; (b) undeformed cross section
Grahic Jump Location
Distorted part with bounded walls
Grahic Jump Location
Comparison between theoretical values and the experimental data (Note: geometric parameter is λ in Eq. (4))

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