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.
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September 2008
Research Papers
Investigation of Preferred Orientations in Planar Polycrystals
M. R. Tonks,
M. R. Tonks
T-3,
Los Alamos National Laboratory
, Los Alamos, NM, 87545; Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign
, Urbana, IL 61801
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A. J. Beaudoin,
A. J. Beaudoin
Department of Mechanical Science and Engineering,
University of Illinois at Urbana-Champaign
, Urbana, IL 61801
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F. Schilder,
F. Schilder
Department of Mathematics,
University of Surrey
, Guildford, GU2 7XH, UK
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D. A. Tortorelli
D. A. Tortorelli
Department of Mechanical Science and Engineering,
University of Illinois at Urbana-Champaign
, Urbana, IL 61801
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M. R. Tonks
T-3,
Los Alamos National Laboratory
, Los Alamos, NM, 87545; Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign
, Urbana, IL 61801
A. J. Beaudoin
Department of Mechanical Science and Engineering,
University of Illinois at Urbana-Champaign
, Urbana, IL 61801
F. Schilder
Department of Mathematics,
University of Surrey
, Guildford, GU2 7XH, UK
D. A. Tortorelli
Department of Mechanical Science and Engineering,
University of Illinois at Urbana-Champaign
, Urbana, IL 61801J. Appl. Mech. Sep 2008, 75(5): 051001 (10 pages)
Published Online: July 2, 2008
Article history
Received:
February 21, 2007
Revised:
February 25, 2008
Published:
July 2, 2008
Citation
Tonks, M. R., Beaudoin, A. J., Schilder, F., and Tortorelli, D. A. (July 2, 2008). "Investigation of Preferred Orientations in Planar Polycrystals." ASME. J. Appl. Mech. September 2008; 75(5): 051001. https://doi.org/10.1115/1.2912930
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