Young Researchers' Minisymposium
A rate independent polycrystal model and a specific application for asymmetrically rolled aluminium sheets
Version of Record online: 3 DEC 2012
Copyright © 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Special Issue: 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt 2012; Editors: H.-D. Alber, N. Kraynyukova and C. Tropea
Volume 12, Issue 1, pages 811–814, December 2012
How to Cite
Alves de Sousa, R. (2012), A rate independent polycrystal model and a specific application for asymmetrically rolled aluminium sheets. Proc. Appl. Math. Mech., 12: 811–814. doi: 10.1002/pamm.201210387
- Issue online: 3 DEC 2012
- Version of Record online: 3 DEC 2012
The asymmetric rolling process differs from conventional rolling through the use of different roll circumferential velocities or diameters. Using proper parameters, asymmetric rolling imposes intense shear deformations across the sheet thickness, leading not only to the occurrence of shear texture, but also to grain refinement . In fact, some shear texture components are known to improve plastic strain ratio values, and thus formability.
In this work, the rate-independent polycrystal model of Gambin  was efficiently implemented and applied to predict the mechanical response of distinct texture components that appear after asymmetrical rolling. For FCC materials, this polycrystal plasticity model avoids the uniqueness issue related to the choice of the set of active slip systems by applying a regularized Schmid Law. Consequently, it generates yield surfaces with smooth corners where the normal vector is always uniquely defined. Also, it doesn't require the arbitrarily defined reference strain rate commonly used in the viscous-approximation of rate-dependent models.
For validation purposes, a 1050-O sheet was subjected to tensile and shear tests. The model could accurately simulate the measured results. In the end, ideal textures components were simulated and their mechanical response was evaluated. Hence, it is stated a solid basis to justify the improvement of sheet's mechanical properties after asymmetrical rolling when compared to conventional rolling. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)