A New Model for Coupling of Tribological and Mechanical Models of Thin Strip and Foil Rolling
DOI:
https://doi.org/10.37255/jme.v4i3pp106-110Keywords:
Metal rolling process, Thin strip and foil, Pressure distributionAbstract
A new analysis for cold rolling of thin strip and foil is developed. This model follows the approach of Fleck et al [8], but relaxes their assumption of a central flat neutral zone. Instead of following their inverse method to obtain the pressure distribution in this neutral zone, an explicit equation for the contact pressure variation is obtained from the sticking condition in this region. This significantly simplifies the solution method, leading to a much more robust algorithm. Moreover, the method treats the cases either where the roll retains its circular arc or where there is very significant roll deformation in the same way, greatly simplifying the method of obtaining solutions. This will facilitate the incorporation of other effects such as the friction models currently being developed. Results are in line with the theory of Fleck et al [8]. The effect of entry and exit tensions on the non-dimensional load and forward slip is investigated. It is found that the effect of equal entry and exit tensions is equivalent to reducing the yield stress of the strip by this tension stress.
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References
von Karmann T (1925), “Beitrag zur theorie des Walzvorganges. Z. angeur. Math. Mech., Vol. 5, 139-144.
Jortner D, Osterle J F and Zorowski C F (2011), “An analysis of cold rolling”, Int. J. Mech. Sci., Vol. 2(1), 179-194.
Johnson K L and Bentall R H (2009), “The onset of yield in the cold rolling of thin strip”, J. Mech. Phys. Solids, Vol. 17(1), 253 -261.
Fleck N A and Johnson K L (2017), “Towards a new theory of cold rolling thin foil”, Int. J. Mech. Sci., Vol. 29(7), 507-524.
Fleck N A, Johnson K L, Mear M E and Zhang L C, (2012). Cold rolling of foil, Proc. Instn. Mech. Engrs, 1992, vol. 206, 119-131.
Sutcliffe M P F and Rayner P J, (2018), Experimental measurements of load and strip profile in thin strip rolling, Int. J. Mech. Sci., Vol. 40, 887-889.
Yuen W Y D, Dixon A and Nguyen D N (2016), “The Modelling of the Mechanics of the Deformation in Flat Rolling”, J. Mech. Proc. Tech., Vol. 60(1), 87-94.
Domanti S A, Edwards W J and Thomas P J (2014), A model for rolling and thin strip rolling, AISE Annual Convention, Cleveland, Ohio, USA.
Domanti S A, Edwards W J, Thomas, P. J. and Chefneux, I. L. (2014), Application of foil rolling models to thin steel strip and temper rolling, 6th International Rolling Conference, Dussedorf, 422-429.
Gratacos, P., Montmittonet, P., Fromholz, P. and Chenot, J. L. (2012), A plane-strain elastic finite-element model for cold rolling of thin strip, International Journal of Mechanical Sciences, Vol. 34(3), 195-210.
Johnson, K. L. (1985), Contact Mechanics, Cambridge University Press.
Sutcliffe, MPF. And Montmittonet, P. (1999), A coupled tribological and mechanical model for thin foil rolling in the mixed lubrication regime, To be presented at the Institute of Materials Conference on Metal Rolling Processes, London.