Residual Stress-Induced Center Wave Buckling of Rolled Strip Metal

[+] Author and Article Information
F. D. Fischer

Institute of Mechanics, Montanuniversitat Loeben, Franz-Josef-Str. 18, A-8700 Loeben, Austria

F. G. Rammerstorfer, N. Friedl

Institute of Lightweight Structures and Aerospace Engineering, Vienna University of Technology, Gusshausstrasse 27–29, A-1040 Vienna, Austria

J. Appl. Mech 70(1), 84-90 (Jan 23, 2003) (7 pages) doi:10.1115/1.1532322 History: Received January 16, 2001; Revised July 26, 2002; Online January 23, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.


Tarnopolskaya,  T., and de Hoog,  F. R., 1998, “An Efficient Method for Strip Flatness Analysis in Cold Rolling,” Math. Eng. Indust., 7 , pp. 71–95.
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, 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.
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.
Rammerstorfer,  F. G., Fischer,  F. D., and Friedl,  N., 2001, “Buckling of Free Infinite Strips Under Residual Stresses and Global Tension,” ASME J. Appl. Mech., 68, pp. 399–404.
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.


Grahic Jump Location
Center wave buckling of a rolled strip metal (courtesy of VOEST ALPINE Industrieanlagenbau, Linz, Austria)
Grahic Jump Location
The strip under residual membrane force distribution and global tension
Grahic Jump Location
Schematic representations of typical residual stress distributions; top: according to Eq. (4), bottom: according to Eq. (6)
Grahic Jump Location
Buckling modes for cosine-distributed residual membrane forces (with m=1 and m=11) and for polynomially distributed residual membrane forces (with m=11)
Grahic Jump Location
Half-wave length of the relevant buckling mode as a function of n in Eq. (9)
Grahic Jump Location
Functions Ñi(Ñ0),i=a,n, for small values of Ñ0. The notation i_k denotes the combinations of buckling modes and membrane force distribution. i=a means cosine mode according to Eq. (8), and i=n stands for Hermitean based mode according to Eq. (9); k=c points to cosine and k=p to polynomial distributions of the residual membrane forces.
Grahic Jump Location
Transversal amplitude functions of the buckling modes. Analytical and finite element solutions. (a) Polynomially (m=11) distributed membrane force, Ñ0=10, (b) cosine(m=1) distributed membrane force, Ñ0=10, (c) cosine (m=1) distributed membrane force, Ñ0=100.
Grahic Jump Location
Dependence of the critical residual membrane force intensity Ñ on the global strip tension Ñ0 for different distributions of the membrane forces. Comparison between analytical and finite element results.
Grahic Jump Location
Dependence of the half-wave length l/B on the global strip tension Ñ0 for different distributions of the residual membrane force



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