Buckling phenomena related to rolling and levelling of sheet metal

Fischer, Franz Dieter; Rammerstorfer, F.G.; Friedl, N.; Wieser, W.

doi:10.1016/s0020-7403(99)00079-x

Cited by 66 publications

(39 citation statements)

References 5 publications

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“…In the conveying process, the 1 rolls are imperfect cylinders with a non smooth surface due to wear or to improve the control of process. As a consequence of this non cylindrical shape, wrinkling phenomena can occur, leading to difficulties in the management of the plant [1] [2]. Unilateral contact involves a non smooth relation between the contact forces and the distance between the two bodies.…”

Section: Introductionmentioning

confidence: 99%

“…The appearances of wrinkles in strip conveying [1] or of flatness defects after rolling process of thin sheets [2] are instability phenomena induced by residual stresses due to fabrication processes. Because ANM has proved to be a very efficient continuation algorithm in order to predict all sorts of buckling phenomena, see for instance [18], it is a good candidate to design software dedicated to the simulation of strip conveying.…”

Section: Introductionmentioning

confidence: 99%

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Automatic solver for non‐linear partial differential equations with implicit local laws: Application to unilateral contact

Lejeune

Boudaoud

Potier‐Ferry

et al. 2013

Numerical Meth Engineering

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In general, nonlinear continuum mechanics combine global balance equations and local constitutive laws. In this work, frictionless contact between a rigid tool and a thin elastic shell is considered. This class of boundary value problems involves two nonlinear algebraic laws: the first one gives explicitly the stress field as a function of the strain throughout the continuum part, while the second one is a nonlinear equation relating the contact forces and the displacement at the boundary.Given the fact that classical computational approaches sometimes require significant effort in implementation of complex nonlinear problems, a computation technique based on Automatic Differentiation of constitutive laws is presented in this paper. The procedure enables to compute automatically the higher-order derivatives of these constitutive laws and thereafter to define Taylor series that are the basis of the continuation technique called Asymptotic Numerical Method. The algorithm is about the same with an explicit or an implicit constitutive relation. In the modeling of forming processes, many tool shapes can be encountered. The presented computational technique permits an easy implementation of these complex surfaces, for instance in a finite element code: the user is only required to define the tool geometry and the computer is able to get the higher-order derivatives.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Automatic solver for non‐linear partial differential equations with implicit local laws: Application to unilateral contact

Lejeune

Boudaoud

Potier‐Ferry

et al. 2013

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…7) Further investigations of buckling during rolling of sheet metal are presented in ref. 8) More recently, some paper [9][10][11][12] have dealt with these kinds of instabilities by analytical considerations (based on a Ritz approach in conjunction with the variational methods) as well as computational investigations (in the form of nonlinear finite element analysis).…”

Section: Introductionmentioning

confidence: 99%

Investigations on Formation of Shape Defects in Square Rolling of Uniform Thin Flat Sheet Product

Moazeni

Salimi

2013

ISIJ Int.

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In rolling of wide strip, longitudinal compressive stresses develop as a result of non-uniform deformation along the plate width, which enhance long-shape wave. Different reduction as a result of uneven geometrical factor along the plate width considered as a main cause of such non-uniform deformation in flat rolling. In order to investigate the non-uniformity of deformation that take place in width direction as a cause of non-geometrical factors, a 3D model of flat rolling process employing ABAQUS software, which includes the buckling features is created. It is realized that in addition to uneven geometrical factor which influence the plate quality, the variation of forming condition along the width as a result of different boundary condition also lead to heterogeneity of the material flow in the roll gap and cause to non-uniform distribution of longitudinal stress. In addition to non-uniform flow of material along the plate width, different transversal flow of material along the plate edge in the roll gap will change the distribution of longitudinal stress after rolling. Despite the fact that variation in residual stresses is calculated to be very low but it is shown that even low values of the residual stresses plays an important role in buckling of thin flat rolled products.

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“…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.…”

Section: Introductionmentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Longitudinal Buckling in Temper Rolling

Komori

2009

ISIJ Int.

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In temper rolling, a shape defect known as longitudinal buckling sometimes occurs, resulting in the formation of wrinkles like those on a washboard. The direction of the crest line of the longitudinal buckling is parallel to the rolling direction. In this study, the analysis of longitudinal buckling is performed using the elementary theory of buckling. First, we calculate the material-roll contact ratio by Hertz's formulae. Next, we calculate the stress distribution in the material at the roll gap using the punch pressure during indentation by Prandtl's formulae. Furthermore, we calculate the wavelength of the waves formed by longitudinal buckling using the elementary theory of buckling. We find that the wavelength calculated from the analysis is in good agreement with that obtained experimentally in the literature. We conclude that the method of analysis is valid, and that the cause of longitudinal buckling is the surface roughness of the roll.

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Buckling phenomena related to rolling and levelling of sheet metal

Cited by 66 publications

References 5 publications

Automatic solver for non‐linear partial differential equations with implicit local laws: Application to unilateral contact

Automatic solver for non‐linear partial differential equations with implicit local laws: Application to unilateral contact

Investigations on Formation of Shape Defects in Square Rolling of Uniform Thin Flat Sheet Product

Analysis of Longitudinal Buckling in Temper Rolling

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