Investigation of preferred orientations in planar polycrystals

M. R. Tonks, A. J. Beaudoin, F. Schilder, D. A. Tortorelli

Research output: Contribution to journalArticlepeer-review


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, "An Analysis of Texture and Plastic Spin for Planar Polycrystal," J. Mech. Phys. Solids, 41(8), pp. 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 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.

Original languageEnglish (US)
Pages (from-to)510011-5100110
Number of pages4590100
JournalJournal of Applied Mechanics, Transactions ASME
Issue number5
StatePublished - Sep 2008


  • Kuramoto model
  • Planar polycrystal
  • Polycrystal plasticity
  • Stochastic Taylor model

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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