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An approximate method for the solution of an influence function foil rolling model

McElwain, Sean, Langlands, T.A.M., & Domanti, S. A. (2004) An approximate method for the solution of an influence function foil rolling model. International Journal of Mechanical Sciences, 46(8), pp. 1139-1156.

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Abstract

Fleck and Johnson (Int. J. Mech. Sci. 29 (1987) 507) and Fleck et al. (Proc. Inst. Mech. Eng. 206 (1992) 119) have developed foil rolling models which allow for large deformations in the roll profile, including the possibility that the rolls flatten completely. However, these models require computationally expensive iterative solution techniques. A new approach to the approximate solution of the Fleck et al. (1992) Influence Function Model has been developed using both analytic and approximation techniques. The numerical difficulties arising from solving an integral equation in the flattened region have been reduced by applying an Inverse Hilbert Transform to get an analytic expression for the pressure. The method described in this paper is applicable to cases where there is or there is not a flat region.

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ID Code: 23046
Item Type: Journal Article
DOI: 10.1016/j.ijmecsci.2004.08.006
ISSN: 0020-7403
Divisions: Past > Schools > Mathematical Sciences
Copyright Owner: Copyright 2004 Pergamon
Deposited On: 17 Jun 2009 23:35
Last Modified: 29 Feb 2012 23:07

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