Abstract
During final cold rolling of steel sheets, a given roughness is transferred from the roll to the steel strip. This printed topography is important for some physical properties of the sheet. In particular, roughness is important in contact problems and specially in drawing where the contact between the tool and the sheet is defined by the roughness. The roll is engraved using the Electric Discharge Texturing (EDT) technique. This kind of texture gives to steel plates interesting contact properties. This texture has random characteristics which could be modelled using random functions. A model based on primary functions is proposed to simulate EDT textures. The construction of the model is also based on the physical phenomenon of electro-erosion. Simulations using various parameters are performed to obtain different textures which are characterized using histograms and variograms. The parameters of the model can be correlated to industrial process parameters.
Key words
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
JEULIN D., Jeulin P. “Synthesis of rough surfaces by random morphological models”. Stereol. Iugosl., 3, Suppl. 1, pp. 239–246 — 1981.
JEULIN D. “Anisotropic rough surface modelling by random morphological functions”. Acta Stereologica. Vol. 6 — 1987.
JEULIN D. “Modèles morphologiques de structures aléatoires et de changement d’échelle”. Thèse de Docteur d’État es Sciences Physiques. Université de Caen — 1991.
JEULIN D. “Morphological models of random structures”. CRC Press, in preparation — 1996.
LAURENGE P. “Modélisation de l’interaction métal-cylindre en skin-pass”. Thesis in preparation — 1996.
MATHERON G. “Random Sets and Integral Geometry”, J. Wiley — 1975.
SENUT C. “Modèles de surfaces rugueuses aléatoires. Application au transfert de rugosité”. Internai Report Paris School of Mines — 1991.
SERRA J. “Image Analysis and Mathematical Morphology” Academic Press — Vol.1 1982 – Vol.2 1988.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Kluwer Academic Publishers
About this chapter
Cite this chapter
Jeulin, D., Laurenge, P. (1996). Probabilistic Model of Rough Surfaces Obtained by Electro-Erosion. In: Maragos, P., Schafer, R.W., Butt, M.A. (eds) Mathematical Morphology and its Applications to Image and Signal Processing. Computational Imaging and Vision, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0469-2_33
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0469-2_33
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-8063-4
Online ISBN: 978-1-4613-0469-2
eBook Packages: Springer Book Archive