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Investigation of Preferred Orientations in Planar Polycrystals

Tonks, M.R., Beaudoin, A.J., Schilder, Frank and Tortorelli, D.A. (2008) Investigation of Preferred Orientations in Planar Polycrystals .

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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.

Item Type: Other
Uncontrolled Keywords: Polycrystal Plasticity, Planar Polycrystal, Stochastic Taylor Model, Kuramoto Model
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:41
Last Modified: 23 Sep 2013 18:33
URI: http://epubs.surrey.ac.uk/id/eprint/1527

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