Stress levels for elastic buckling of rolled strip and plate

Abstract

stress distribution N x ( y) is applied. The technique employed is to introduce a multiplier g and obtain the form of solution © 2001 IoM Communications Ltd.for an applied stress gN x. The homogeneous equation governing the deflection has only a zero solution for small values of g. As g is increased possible non-zero, i.e. buckled solutions, can occur. The minimum value of g such that

Modélisation numérique du flambage des plaques minces et applications au laminage

“…Cette fois on considère un cas qui a été traité dans [4] qui constitue une plaque dont les propriétés élastiques sont identiques au cas précédent mais de longueur a = 500mm, de largeur b=100mm et d'épaisseur h =1mm. La plaque est soumise à un profil de contraintes longitudinales résiduelles σ xx (y) comme montré dans la figure 2-a.…”

“…Ces conditions supplémentaires au problème leur permettent d'aboutir aux résultats souhaités. Ainsi, pour ce profil typiquement obtenu en laminage, [4] fixent le centre de la plaque en supposant qu'a priori le mode de flambage est en bords longs (ou bords ondulés). En revanche, dans le modèle qu'on présente, aucune de ces conditions supplémentaire n'est imposée afin d'obtenir ce type de résultats.…”

Modelling the Dynamics and Secondary Deformation Behaviour of the Strip with Local Waves in Coiling Process

“…In the process of strip coiling, the plastic flow in strips is extremely limited in most regions except some local high points, so the deformation of strips can be largely regarded as in plane [12]. However, due to accumulation and superposition of local high points, radial and axial stress is distributed unevenly and forms a metal plastic flow state around local high points.…”

Analysis of Longitudinal Buckling in Temper Rolling

“…That is to say, in cross buckling, the crest lines of the waves are formed at an angle to the rolling direction, while in longitudinal buckling, the crest lines of the waves are parallel to the rolling direction. In the conventional analytical studies, [2][3][4][5][6][7][8][9] it was assumed that the length of the strip in the rolling direction is much greater than that in the width direction. According to the analysis using such a strip, the buckling load when there are many waves in the width direction is much larger than that when there is one wave in the width direction.…”

“…There have been a number of analytical studies in which the buckling of the strip due to center buckling or edge buckling has been analyzed by assuming various residual stress distributions in a strip that is sufficiently long in the rolling direction. [2][3][4][5][6][7][8][9] However, in strip rolling, there are types of buckling of the strip in which the number of waves in the width direction is not one but many. Cross buckling and longitudinal buckling are two such types of buckling.…”