Strip flatness modelling including buckling phenomena during thin strip cold rolling

Abdelkhalek, Sami; Montmitonnet, Pierre; Potier‐Ferry, Michel; Zahrouni, Hamid; Legrand, Nicolas; Buessler, Pascal

doi:10.1179/030192310x12646889255708

Cited by 35 publications

(23 citation statements)

References 8 publications

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“…The macroscopic strains and displacements are defined in the same way and the displacement gradient is obtained with the help of the first rule (2). The final macroscopic model is in the following form and we refer to [13] for more details:…”

Section: Full Model Föppl-von Karman Platementioning

confidence: 99%

Cellular instabilities analyzed by multi-scale Fourier series: A review

Potier‐Ferry¹,

Mohri²,

Xu³

et al. 2016

DCDS-S

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The paper is concerned by multi-scale methods to describe instability pattern formation, especially the method of Fourier series with variable coefficients. In this respect, various numerical tools are available. For instance in the case of membrane models, shell finite element codes can predict the details of the wrinkles, but with difficulties due to the large number of unknowns and the existence of many solutions. Macroscopic models are also available, but they account only for the effect of wrinkling on membrane behavior. A Fourier-related method has been introduced in order to modelize the main features of the wrinkles, but by using partial differential equations only at a macroscopic level. Within this method, the solution is sought in the form of few terms of Fourier series whose coefficients vary more slowly than the oscillations. The recent progresses about this Fourier-related method are reviewed and discussed.

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Section: Full Model Föppl-von Karman Platementioning

confidence: 99%

Cellular instabilities analyzed by multi-scale Fourier series: A review

Potier‐Ferry¹,

Mohri²,

Xu³

et al. 2016

DCDS-S

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“…The essence of the flatness problem occurring during the production of strip is the buckling deformation. [1][2][3][4] When the internal residual stress exceeds the critical buckling stress, the observable wave will come out. The quantification of the buckling deformation depends on the post-buckling model.…”

Section: Introductionmentioning

confidence: 99%

Effects of Temperature and Phase Transformation on Post-buckling Behavior of Non-oriented Electric Steel during Hot Finishing Rolling

Liu

et al. 2020

ISIJ Int.

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The traditional buckling model is based on the assumption of homogeneous material. However, for nonoriented electrical steel with high-temperature phase transformation, the transverse differences of temperature and phase transformation during the hot finishing rolling result in uneven distribution of material properties in the dual-phase region. In order to study the effect of inhomogeneous material on the postbuckling behavior of strip, the relationships between tangent modulus and temperature in the austenite region and ferrite region are firstly obtained by hot compression experiments. Secondly, the transverse distribution function of tangent modulus is calculated according to the distributions of temperature and phase structure in the dual-phase region. Finally, the large deflection theory of thin plate is modified, and the elastic modulus constant is replaced by the distribution function of tangent modulus. The post-buckling model considering inhomogeneous material is established to analyze the effect of temperature and phase transformation on the wave height. The results show that strip thickness and tension have great effect on the post-buckling deformation of global longitudinal wave, but little effect on local longitudinal wave. The temperature drop and phase transformation at the strip edge have no significant effect on the wave heights of global and local center waves, but they reduce the wave heights of global and local edge waves by 6% and 20%, respectively.

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“…From a mathematical point of view, flatness can be defined as the degree to which the surface of a flat product approaches a plane [4]. In flat-rolled products, flatness defects are a consequence of roller thermo-elastic deformation, which affects the roller gap in the roller stand and results in heterogeneous rolled-product plastic deformation [5].…”

Section: Introductionmentioning

confidence: 99%

Flatness measurement using two laser stripes to remove the effects of vibrations

Usamentiaga¹,

Molleda²,

Garcia³

et al. 2014

2014 IEEE Industry Application Society Annual Meeting

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Flatness measurement and control is a requirement in the production of high quality rolled steel products. One of the most popular measurement methods is based on laserlight sectioning sensors. This method is based on the projection of a laser stripe onto the steel strip while it moves forward along a roll path. The extraction of the laser stripes provides information about the lengths of the strip fibers, which are used to compute flatness. This flatness measurement method is easy to maintain, provides accurate results and can be built using low-cost components. However, it has a major disadvantage: it is severely affected by vibrations. Thus, when the movement of the strips is affected by vibrations, the resulting flatness measurement is inaccurate. This work proposes a solution: using a second laser stripe, and taking advantage of this redundant information to estimate and remove vibrations. This paper presents the procedure required to combine the laser stripes and produce a vibrations-free result. In order to test the proposed approach a mechanical prototype is built and used to produce vibrations. Results show excellent performance and indicate that the proposed approach presents a far more efficient solution than traditional methods using a single laser stripe.

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Strip flatness modelling including buckling phenomena during thin strip cold rolling

Cited by 35 publications

References 8 publications

Cellular instabilities analyzed by multi-scale Fourier series: A review

Cellular instabilities analyzed by multi-scale Fourier series: A review

Effects of Temperature and Phase Transformation on Post-buckling Behavior of Non-oriented Electric Steel during Hot Finishing Rolling

Flatness measurement using two laser stripes to remove the effects of vibrations

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