Strain localisation patterns under equal-channel angular pressing

Lapovok, Rimma, Tóth, Laszlo S., Molinari, Alain and Estrin, Yuri 2009, Strain localisation patterns under equal-channel angular pressing, Journal of the mechanics and physics of solids, vol. 57, no. 1, pp. 122-136, doi: 10.1016/j.jmps.2008.09.012.

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Title Strain localisation patterns under equal-channel angular pressing
Author(s) Lapovok, RimmaORCID iD for Lapovok, Rimma orcid.org/0000-0002-1395-9814
Tóth, Laszlo S.
Molinari, Alain
Estrin, Yuri
Journal name Journal of the mechanics and physics of solids
Volume number 57
Issue number 1
Start page 122
End page 136
Total pages 15
Publisher Elsevier
Place of publication Amsterdam, The Netherlands
Publication date 2009-01
ISSN 0022-5096
Keyword(s) plastic instability
shear bands
equal-channel angular pressing
back-pressure
mafnesium allow
Summary Instabilities of plastic flow in the form of localised shear bands were experimentally observed to result from equal-channel angular pressing (ECAP) of magnesium alloy AZ31. The appearance of shear bands and their spacing were dependent on velocity of the pressing and applied back-pressure. A generic gradient plasticity theory involving second-order strain gradient terms in a constitutive model was applied to the case of AZ31 deformed by ECAP. Linear stability analysis was applied to the set of equations describing the deformation behaviour in the process zone idealised as a planar shear zone. A full analytical solution providing a dispersion relation between the rate of growth of a perturbation and the wave number was obtained. It was shown that the pattern of incipient localised shear bands exhibits a spectrum of characteristic lengths corresponding to admissible wave numbers. The interval of the spectrum of wave numbers of viable, i.e. growing, perturbations predicted by linear stability analysis was shown to be in good agreement with the experimentally observed spectrum. The effect of back-pressure applied during ECAP was also considered. The predicted displacement of the shear band spectrum towards lower wave numbers, shown to be a result of the decreased shear strain rate in the shear zone, was consistent with the experimentally observed increase of the band spacing with increased back-pressure. A good predictive capability of the general modelling frame used in conjunction with linear stability analysis was thus demonstrated in the instance of the particular alloy system and the specific processing conditions considered.
Language eng
DOI 10.1016/j.jmps.2008.09.012
Field of Research 091207 Metals and Alloy Materials
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
Persistent URL http://hdl.handle.net/10536/DRO/DU:30075993

Document type: Journal Article
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