Influence of grain shape on the planar anisotropy of rolled steel sheets – evaluation of three models

The plastic anisotropy of textured polycrystalline aggregates is investigated using three micro-macro averaging schemes: a crystal plasticity based finite element model (CPFEM), the viscoplastic self-consistent (VPSC) scheme of Lebensohn and Tomé [R.A. Lebensohn C.N. Tomé, Acta Metall. Mater. 41 (1993) 2611–2624], and a “multisite” model that is based on a simplified treatment of the interaction of adjacent grains [L. Delannay, A.K. Kanjarla, M.A. Melchior, J.W. Signorelli, P. Van Houte, in: A.D. Rollett (Ed.), Proceedings of ICOTOM 15, CMU Pittsburg, June 2008 (cdrom, American Ceramic Society), S14-5, pp. 1–12]. By referring to experimental measurements of the planar anisotropy of two cold-rolled steel sheets, it is demonstrated that the CPFEM, VPSC and multisite model perform better than the classical Taylor theory with full or relaxed constraints. Moreover, on the whole, the three modelling strategies lead to similar predictions of the sensitivity of the Lankford coefficient and yield strength to the average grain shape.