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ADDITIONAL TECHNICAL PAPERS

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
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References

Figures

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Center wave buckling of a rolled strip metal (courtesy of VOEST ALPINE Industrieanlagenbau, Linz, Austria)
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The strip under residual membrane force distribution and global tension
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Schematic representations of typical residual stress distributions; top: according to Eq. (4), bottom: according to Eq. (6)
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Buckling modes for cosine-distributed residual membrane forces (with m=1 and m=11) and for polynomially distributed residual membrane forces (with m=11)
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Half-wave length of the relevant buckling mode as a function of n in Eq. (9)
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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.
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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.
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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.
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Dependence of the half-wave length l/B on the global strip tension Ñ0 for different distributions of the residual membrane force

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