In sheet metal rolling, shape defects called ''cross buckling'' or ''v
ertical buckling'' sometimes appear, which are wrinkles like washboard
s. The direction of the crest line of the cross buckling inclines at a
certain degree against the rolling direction, while that of the verti
cal buckling is parallel to the rolling direction. In this study, anal
ysis of the cross and vertical buckling is performed using the element
ary theory of buckling. First, we calculate the stress distribution in
three-dimensional sheet metal rolling near the exit cross section ins
ide the roll gap. Next, we calculate the residual stress distribution
near the exit cross section outside the roll gap. Furthermore, sheet m
etal buckling is analysed using the residual stress distribution. Type
of buckling, distance between neighboring wrinkles, inclination of th
e crest line of the wrinkles against the width direction and the regio
n where the wrinkles appear are obtained. We compare analytical result
s with published experimental results, and find that the former agree
well with the latter. Hence, we conclude that this method of analysis
is valid, and that the cause of the cross and vertical buckling is the
residual stress distribution near the exit cross section outside the
roll gap. (C) 1998 Elsevier Science Ltd. All rights reserved.