A SIMPLE ANALYTICAL MODEL OF ASYMMETRIC ROLLING

Anouar Halloumi (1, 2, 3) , Christophe Desrayaud (1, 2, 3) , Brigitte Bacroix (4) , E. Rauch (5) , Frank Montheillet (1, 2, 3)

1 RMT-ENSMSE - Département Rhéologie, Microstructure, Thermomécanique
2 LCG-ENSMSE - UMR 5146 - Laboratoire Claude Goux
3 SMS-ENSMSE - Centre Science des Matériaux et des Structures
4 PMTM - Propriétés mécaniques et thermodynamiques des matériaux
5 SIMaP - Science et Ingénierie des Matériaux et Procédés

An original analytical method is proposed for modeling asymmetric rolling (ASR) of metal sheet. It is based on a uniform strain field depending on a single optimization parameter, viz. the entry velocity of the sheet. The shear and normal strains associated with an ASR pass are derived analytically. Moreover, it is shown that the entry velocity almost coincides with the outer linear velocity of the slower roll, as far as ASR is sufficiently asymmetric. In that case, closed form formulae are available for the main rolling parameters such as the overall power dissipated and the two rolling torques. These results can be straighforwardly used for practical applications.

Mots clés: Asymmetric rolling; upper bound method; uniform strain field method

Domaines: Matériaux

Anouar Halloumi, Christophe Desrayaud, Brigitte Bacroix, E. Rauch, Frank Montheillet. A SIMPLE ANALYTICAL MODEL OF ASYMMETRIC ROLLING. Archives of Metallurgy and Materials, 2012, 57 (2), pp.425-435. ⟨10.2478/v10172-012-0042-3⟩. ⟨hal-00858064⟩