Investigation of Preferred Orientations in Planar Polycrystals
Document Type: Pre-print
Publisher URL
http://www.asme.org/
This document has been peer-reviewed.
Abstract
More accurate manufacturing process models come from better understanding of texture evolution and preferred orientations. We investigate the texture evolution in the simplified physical framework of a planar polycrystal with two slip systems used by Prantil et al. (1993, J. Mech. Phys. Solids, 41(8), 1357-1382). In the planar polycrystal, the crystal orientations behave in a manner similar to that of a system of coupled oscillators represented by the Kuramoto model. The crystal plasticity finite element method (CPFEM) and the stochastic Taylor model (STM), a stochastic method for mean-field polycrystal plasticity, predict the development of a steady-state texture not shown when employing the Taylor hypothesis. From this analysis, the STM appears to be a useful homogenization method when using representative standard deviations.
Recommended Citation
Tonks, M.R.; Beaudoin, A.J.; Schilder, Frank; and Tortorelli, D.A., "Investigation of Preferred Orientations in Planar Polycrystals" (2008). Mathematics. Paper 162.
http://epubs.surrey.ac.uk/mathspubl/162
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