Strain gradient plasticity modelling of high-pressure torsion

Estrin, Y., Molotnikov, A., Davies, C.H.J. and Lapovok, R. 2008, Strain gradient plasticity modelling of high-pressure torsion, Journal of the mechanics and physics of solids, vol. 56, no. 4, pp. 1186-1202, doi: 10.1016/j.jmps.2007.10.004.

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Title Strain gradient plasticity modelling of high-pressure torsion
Author(s) Estrin, Y.
Molotnikov, A.
Davies, C.H.J.
Lapovok, R.ORCID iD for Lapovok, R.
Journal name Journal of the mechanics and physics of solids
Volume number 56
Issue number 4
Start page 1186
End page 1202
Total pages 17
Publisher Elsevier
Place of publication Amsterdam, The Netherlands
Publication date 2008-04
ISSN 0022-5096
Summary Gradient plasticity modelling combining a micro-structure-related constitutive description of the local material behaviour with a particular gradient plasticity frame is presented. The constitutive formulation is based on a phase mixture model in which the dislocation cell walls and the cell interiors are considered as separate 'phases', the respective dislocation densities entering as internal variables. Two distinct physical mechanisms, which give rise to gradient plasticity, are considered. The first one is associated with the occurrence of geometrically necessary dislocations leading to first-order strain gradients; the second one is associated with the reaction stresses due to plastic strain incompatibilities between neighbouring grains, which lead to second-order strain gradients. These two separate variants of gradient plasticity were applied to the case of high-pressure torsion: a process known to result in a fairly uniform, ultrafine grained structure of metals. It is shown that the two complementary variants of gradient plasticity can both account for the experimental results, thus resolving a controversial issue of the occurrence of a uniform micro-structure as a result of an inherently non-uniform process. © 2007 Elsevier Ltd. All rights reserved.
Language eng
DOI 10.1016/j.jmps.2007.10.004
Field of Research 091207 Metals and Alloy Materials
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1.1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2008, Elsevier
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