J.Appl.Mech. 70, 84-90, 2003.
F.D. Fischer¹, F.G. Rammerstorfer², N. Friedl²
¹Institute of Mechanics,
University of Mining and Metallurgy, Leoben, Austria
²Institute of Lightweight Structures and Aerospace Engineering,
TU Wien, Vienna, Austria
In this paper computational and analytical treatments of the center wave
buckling phenomenon in thin strips under in-plane loads which typically appear
during cold rolling of sheet metal, are presented.
Buckling due to self-equilibrating residual stresses, caused by the rolling
process, in conjunction with global tensile stresses (due to the traction force
acting on the strip) is considered.
The shape of the distribution of the residual stresses over the width of the
strip influences the buckling mode.
Furthermore, it is shown that an increasing global tension force leads not only
to increased critical residual stress intensities but also to shorter buckling
waves concentrated towards the center of the strip.
Taking these facts into account, a proper combination of the information gained
from measuring the global tensile force at which buckling appears, the wave
length, and some characteristic shape parameters of the buckling pattern allows
the estimation of the intensity and the type of the residual membrane force
distribution in the strip.
By introducing dimensionless quantities, diagrams are provided which can be
used for the determination of critical loading combinations, wave lengths, and