A computational and theoretical investigation of the accuracy of quasicontinuum methods

Brian Van Koten, Xingjie Helen Li, Mitchell Luskin, Christoph Ortner

Research output: Chapter in Book/Report/Conference proceedingConference contribution

16 Scopus citations

Abstract

We give computational results to study the accuracy of several quasicontinuum methods for two benchmark problems – the stability of a Lomer dislocation pair under shear and the stability of a lattice to plastic slip under tensile loading. We find that our theoretical analysis of the accuracy near instabilities for onedimensional model problems can successfully explain most of the computational results for these multi-dimensional benchmark problems. However, we also observe some clear discrepancies, which suggest the need for additional theoretical analysis and benchmark problems to more thoroughly understand the accuracy of quasicontinuum methods.

Original languageEnglish (US)
Title of host publicationNumerical Analysis of Multiscale Problems
EditorsThomas Y. Hou, Omar Lakkis, Ivan G. Graham, Robert Scheichl
PublisherSpringer Verlag
Pages67-96
Number of pages30
ISBN (Print)9783642220609
DOIs
StatePublished - 2012
Event91st LMS Durham Symposium on Numerical Analysis of Multiscale Problems, 2010 - Durham, United Kingdom
Duration: Jul 5 2010Jul 15 2010

Publication series

NameLecture Notes in Computational Science and Engineering
Volume83
ISSN (Print)1439-7358

Other

Other91st LMS Durham Symposium on Numerical Analysis of Multiscale Problems, 2010
Country/TerritoryUnited Kingdom
CityDurham
Period7/5/107/15/10

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2012.

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