Modelling the combined effect of grain size and grain shape on plastic anisotropy of metals

Delannay, Laurent and Barnett, Matthew R 2011, Modelling the combined effect of grain size and grain shape on plastic anisotropy of metals, International journal of plasticity, vol. 32-33, pp. 70-84, doi: 10.1016/j.ijplas.2011.12.002.

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Title Modelling the combined effect of grain size and grain shape on plastic anisotropy of metals
Author(s) Delannay, Laurent
Barnett, Matthew RORCID iD for Barnett, Matthew R
Journal name International journal of plasticity
Volume number 32-33
Start page 70
End page 84
Total pages 15
Publisher Pergamon
Place of publication London, England
Publication date 2011-05
ISSN 0749-6419
Keyword(s) crystal plasticity
strain gradients
thin film mechanics
Summary Within each columnar grain of a metallic film, the resistance to dislocation glide varies in function of the orientation of the slip plane with regard to the grain long axis. Plastic slip is impeded across grain boundaries and this contributes to the anisotropy of the overall mechanical response. A simplified (Taylor-type) crystal plasticity model is proposed that accounts for such effect of grain shape on the slip system selection. Assuming that dislocation density gradients are normal to the grain boundaries, backstresses developed at the onset of plasticity are estimated based on two definitions of the effective grain boundary spacing ‘‘seen’’ by individual slip systems. The first one reduces to the mean area-to-perimeter ratio of cross-sections of the grain cut parallel to the slip plane. Closed-form expressions of the average backstresses developed inside grains with spheroidal shapes are introduced in the crystal hardening law. The model reproduces the very high plastic anisotropy of electro-deposited pure iron with a strong c-fiber and a refined columnar grain structure [Yoshinaga, N., Sugiura, N., Hiwatashi, S., Ushioda, K., Kada, O., 2008. Deep drawability of electro-deposited pure iron having an extremely sharp h111i//ND texture. ISIJ Int. 48, 667–670]. It also provides valid estimates of the texture development and the influence of grain size on the yield strength.
Language eng
DOI 10.1016/j.ijplas.2011.12.002
Field of Research 091207 Metals and Alloy Materials
Socio Economic Objective 861199 Basic Metal Products (incl. Smelting, Rolling, Drawing and Extruding) not elsewhere classified
HERDC Research category C1 Refereed article in a scholarly journal
HERDC collection year 2011
Copyright notice ©2011, Elsevier
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Document type: Journal Article
Collections: Centre for Material and Fibre Innovation
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