0
TECHNICAL PAPERS

Buckling of Free Infinite Strips Under Residual Stresses and Global Tension

[+] Author and Article Information
F. G. Rammerstorfer

Institute of Lightweight Structures and Aerospace Engineering, Vienna University of Technology, Gusshausstr. 27-29, A-1040 Vienna, Austriae-mail: ra@ilfb.tuwien.ac.at

F. D. Fischer

Institute of Mechanics, Montanuniversitat Leoben, Franz-Josef-Strasse 18, A-8700 Leoben, Austria e-mail: mechanik@unileoben.ac.at

N. Friedl

Institute of Lightweight Structures and Aerospace Engineering, Vienna University of Technology, A-1040 Vienna, Austria

J. Appl. Mech 68(3), 399-404 (Sep 15, 2000) (6 pages) doi:10.1115/1.1357519 History: Received June 14, 2000; Revised September 15, 2000
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.

References

Fischer,  F. D., Rammerstorfer,  F. G., Friedl,  N., and Wieser,  W., 2000, “Buckling Phenomena Related to Rolling and Levelling of Sheet Metal,” Int. J. Mech. Sci., 42, pp. 1887–1910.
Fischer,  U., 1976, “Stabilität des freien Plattenstreifens mit eine Gleichgewichtsgruppe bildenden Längseigenspannungen,” Z. Angew. Math. Mech., 56, p. 331.
Tomita, Y., and Shao, H., 1993, “Buckling Behavior in Thin Sheet Metal Subjected to Nonuniform Membrane-Type Deformation,” Advances in Engineering Plasticity and its Applications W. B. Lee, ed., Elsevier, Amsterdam, pp. 923–930.
Komori,  K., 1998, “Analysis of Cross and Vertical Buckling in Sheet Metal Rolling,” Int. J. Mech. Sci., 40, pp. 1235–1246.
Friedl,  N., Rammerstorfer,  F. G., and Fischer,  F. D., 1999, “Zum Beulen von Platten unter globalem Zug,” Z. Angew. Math. Mech., 79, Supplement 2, pp. 545–546.
Tarnopolskaya,  T., and de Hoog,  F. R., 1998, “An Efficient Method for Strip Flatness Analysis in Cold Rolling,” Math. Engng. Ind., 7, pp. 71–95.
Yuan,  S., and Jin,  Y., 1998, “Computation of Elastic Buckling Loads of Rectangular Thin Plates Using the Extended Kantorovich Method,” Comput. Struct., 66, pp. 861–867.

Figures

Grahic Jump Location
Functions f1,2c,p(n,m) for different exponents m; full lines refer to cosine distributions, broken lines to parabolic distribution of the residual membrane force
Grahic Jump Location
Dependence of Ñn on Ñ0 for a cosine distribution of the residual membrane force with m=1. The detail shows that n∊[1.5,1.73] is not relevant.
Grahic Jump Location
Dependence of the critical residual membrane force intensity Ñ on the global strip tension Ñ0 for different exponents m; full lines refer to cosine distributions, broken lines to parabolic distributions of the residual membrane force
Grahic Jump Location
Dependence of the half-wavelength l/B on the global strip tension Ñ0 for different exponents m; full lines refer to cosine distributions, broken lines to parabolic distributions of the residual membrane force
Grahic Jump Location
Dependence of the half-wavelength l/B on the intensity of the residual membrane force distribution Ñ for different exponents m; full lines refer to cosine distributions, broken lines to parabolic distributions of the residual membrane force
Grahic Jump Location
Buckling patterns for different global tension forces Ñ0
Grahic Jump Location
Half-wavelength of the relevant buckling mode as a function of the exponent n in Eq. (8)
Grahic Jump Location
Typical residual membrane force distributions; (a) according to (4), (b) according to (6).
Grahic Jump Location
The strip buckled under residual membrane forces and global tension

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In