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Asymptotic expansion of the elastic far-field of a crystalline defect
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Braun, Julian, Hudson, Thomas E. (Edward) and Ortner, Christoph (2022) Asymptotic expansion of the elastic far-field of a crystalline defect. Archive for Rational Mechanics and Analysis, 245 . pp. 1437-1490. doi:10.1007/s00205-022-01810-3 ISSN 0003-9527.
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Official URL: https://doi.org/10.1007/s00205-022-01810-3
Abstract
Lattice defects in crystalline materials create long-range elastic fields which can be modelled on the atomistic scale using an infinite system of discrete nonlinear force balance equations. Starting with these equations, this work rigorously derives a novel far-field expansion of these fields. The expansion is computable and is expressed as a sum of continuum correctors and discrete multipole terms which decay with increasing algebraic rate as the order of the expansion increases. Truncating the expansion leaves a remainder describing the defect core structure, which is localised in the sense that it decays with an algebraic rate corresponding to the order at which the truncation occurred.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics Q Science > QD Chemistry |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
SWORD Depositor: | Library Publications Router | ||||||||
Library of Congress Subject Headings (LCSH): | Crystals -- Defects -- Mathematical models, Continuum (Mathematics) , Mechanics -- Mathematical models | ||||||||
Journal or Publication Title: | Archive for Rational Mechanics and Analysis | ||||||||
Publisher: | Springer | ||||||||
ISSN: | 0003-9527 | ||||||||
Official Date: | September 2022 | ||||||||
Dates: |
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Volume: | 245 | ||||||||
Page Range: | pp. 1437-1490 | ||||||||
DOI: | 10.1007/s00205-022-01810-3 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 5 August 2022 | ||||||||
Date of first compliant Open Access: | 5 August 2022 | ||||||||
RIOXX Funder/Project Grant: |
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