Asymptotic analysis of a pile-up of regular edge dislocation walls

Handle URI:
http://hdl.handle.net/10754/597617
Title:
Asymptotic analysis of a pile-up of regular edge dislocation walls
Authors:
Hall, Cameron L.
Abstract:
The idealised problem of a pile-up of regular dislocation walls (that is, of planes each containing an infinite number of parallel, identical and equally spaced dislocations) was presented by Roy et al. [A. Roy, R.H.J. Peerlings, M.G.D. Geers, Y. Kasyanyuk, Materials Science and Engineering A 486 (2008) 653-661] as a prototype for understanding the importance of discrete dislocation interactions in dislocation-based plasticity models. They noted that analytic solutions for the dislocation wall density are available for a pile-up of regular screw dislocation walls, but that numerical methods seem to be necessary for investigating regular edge dislocation walls. In this paper, we use the techniques of discrete-to-continuum asymptotic analysis to obtain a detailed description of a pile-up of regular edge dislocation walls. To leading order, we find that the dislocation wall density is governed by a simple differential equation and that boundary layers are present at both ends of the pile-up. © 2011 Elsevier B.V.
Citation:
Hall CL (2011) Asymptotic analysis of a pile-up of regular edge dislocation walls. Materials Science and Engineering: A 530: 144–148. Available: http://dx.doi.org/10.1016/j.msea.2011.09.065.
Publisher:
Elsevier BV
Journal:
Materials Science and Engineering: A
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Dec-2011
DOI:
10.1016/j.msea.2011.09.065
Type:
Article
ISSN:
0921-5093
Sponsors:
This publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorHall, Cameron L.en
dc.date.accessioned2016-02-25T12:43:08Zen
dc.date.available2016-02-25T12:43:08Zen
dc.date.issued2011-12en
dc.identifier.citationHall CL (2011) Asymptotic analysis of a pile-up of regular edge dislocation walls. Materials Science and Engineering: A 530: 144–148. Available: http://dx.doi.org/10.1016/j.msea.2011.09.065.en
dc.identifier.issn0921-5093en
dc.identifier.doi10.1016/j.msea.2011.09.065en
dc.identifier.urihttp://hdl.handle.net/10754/597617en
dc.description.abstractThe idealised problem of a pile-up of regular dislocation walls (that is, of planes each containing an infinite number of parallel, identical and equally spaced dislocations) was presented by Roy et al. [A. Roy, R.H.J. Peerlings, M.G.D. Geers, Y. Kasyanyuk, Materials Science and Engineering A 486 (2008) 653-661] as a prototype for understanding the importance of discrete dislocation interactions in dislocation-based plasticity models. They noted that analytic solutions for the dislocation wall density are available for a pile-up of regular screw dislocation walls, but that numerical methods seem to be necessary for investigating regular edge dislocation walls. In this paper, we use the techniques of discrete-to-continuum asymptotic analysis to obtain a detailed description of a pile-up of regular edge dislocation walls. To leading order, we find that the dislocation wall density is governed by a simple differential equation and that boundary layers are present at both ends of the pile-up. © 2011 Elsevier B.V.en
dc.description.sponsorshipThis publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).en
dc.publisherElsevier BVen
dc.subjectAsymptotic analysisen
dc.subjectDislocationsen
dc.subjectModelingen
dc.subjectPile-upen
dc.titleAsymptotic analysis of a pile-up of regular edge dislocation wallsen
dc.typeArticleen
dc.identifier.journalMaterials Science and Engineering: Aen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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