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The effect of crystal symmetries on the locality of screw dislocation cores
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Braun, Julian, Buze, Maciej and Ortner, Christoph (2019) The effect of crystal symmetries on the locality of screw dislocation cores. SIAM Journal of Mathematical Analysis, 51 (2). pp. 1108-1136. doi:10.1137/17M1157520 ISSN 0036-1410.
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WRAP-effect-crystal-symmetries-locality-screw-cores-Ortner-2019.pdf - Accepted Version - Requires a PDF viewer. Download (1993Kb) | Preview |
Official URL: https://doi.org/10.1137/17M1157520
Abstract
In linearised continuum elasticity, the elastic strain due to a straight dislocation line decays as O ( r − 1 ) , where r denotes the distance to the defect core. It is shown in [8] that the core correction due to nonlinear and discrete (atomistic) effects decays like O ( r − 2 ) . In the present work, we focus on screw dislocations under pure anti-plane shear kinematics. In this setting we demonstrate that an improved decay O ( r − p ) , p > 2 , of the core correction is obtained when crystalline symmetries are fully exploited and possibly a simple and explicit correction of the continuum far-field prediction is made. This result is interesting in its own right as it demonstrates that, in some cases, continuum elasticity gives a much better prediction of the elastic field surrounding a dislocation than expected, and moreover has practical implications for atomistic simulation of dislocations cores, which we discuss as well.
Item Type: | Journal Article | |||||||||
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Subjects: | Q Science > QA Mathematics | |||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
Library of Congress Subject Headings (LCSH): | Mathematical analysis | |||||||||
Journal or Publication Title: | SIAM Journal of Mathematical Analysis | |||||||||
Publisher: | SIAM | |||||||||
ISSN: | 0036-1410 | |||||||||
Official Date: | 3 April 2019 | |||||||||
Dates: |
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Volume: | 51 | |||||||||
Number: | 2 | |||||||||
Page Range: | pp. 1108-1136 | |||||||||
DOI: | 10.1137/17M1157520 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||
Date of first compliant deposit: | 28 January 2019 | |||||||||
Date of first compliant Open Access: | 15 April 2019 | |||||||||
RIOXX Funder/Project Grant: |
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