The Library
Analysis of an atomistic model for anti-plane fracture
Tools
Buze, Maciej, Hudson, Thomas E. (Edward) and Ortner, Christoph (2019) Analysis of an atomistic model for anti-plane fracture. Mathematical Models & Methods in Applied Sciences, 29 (13). pp. 2469-2521. doi:10.1142/S0218202519500520 ISSN 0218-2025.
|
PDF
WRAP-analysis-atomistic-model-anti-plane-fracture-Ortner-2019.pdf - Accepted Version - Requires a PDF viewer. Download (2537Kb) | Preview |
Official URL: https://doi.org/10.1142/S0218202519500520
Abstract
We develop a model for an anti-plane crack defect posed on a square lattice under an interatomic pair-potential with nearest-neighbour interactions. In particular, we establish existence, local uniqueness and stability of solutions for small loading parameters and further prove qualitatively sharp far-field decay estimates. The latter requires establishing decay estimates for the corresponding lattice Green’s function, which are of independent interest.
Item Type: | Journal Article | |||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics Q Science > QD Chemistry |
|||||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||||||||
Library of Congress Subject Headings (LCSH): | Crystal lattices, Crystals -- Defects -- Research, Green's functions | |||||||||||||||
Journal or Publication Title: | Mathematical Models & Methods in Applied Sciences | |||||||||||||||
Publisher: | World Scientific Publishing | |||||||||||||||
ISSN: | 0218-2025 | |||||||||||||||
Official Date: | December 2019 | |||||||||||||||
Dates: |
|
|||||||||||||||
Volume: | 29 | |||||||||||||||
Number: | 13 | |||||||||||||||
Page Range: | pp. 2469-2521 | |||||||||||||||
DOI: | 10.1142/S0218202519500520 | |||||||||||||||
Status: | Peer Reviewed | |||||||||||||||
Publication Status: | Published | |||||||||||||||
Reuse Statement (publisher, data, author rights): | Electronic version of an article published as Buze, Maciej, Hudson, Thomas and Ortner, Christoph (2019) Analysis of an atomistic model for anti-plane fracture. Mathematical Models & Methods in Applied Sciences .https://doi.org/10.1142/S0218202519500520 © 2019 copyright World Scientific Publishing Company https://www.worldscientific.com/worldscinet/m3as | |||||||||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||
Date of first compliant deposit: | 25 October 2019 | |||||||||||||||
Date of first compliant Open Access: | 29 October 2020 | |||||||||||||||
RIOXX Funder/Project Grant: |
|
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year