<p>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.</p
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