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Formulation and optimization of the energy-based blended quasicontinuum method
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Luskin, Mitchell Barry, Ortner, Christoph and Van Koten, B. (2013) Formulation and optimization of the energy-based blended quasicontinuum method. Computer Methods in Applied Mechanics and Engineering, Volume 253 (Number 1). pp. 160-168. doi:10.1016/j.cma.2012.09.007 ISSN 0045-7825.
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Official URL: http://dx.doi.org/10.1016/j.cma.2012.09.007
Abstract
We formulate an energy-based atomistic-to-continuum coupling method based on blending the quasicontinuum method for the simulation of crystal defects. We utilize theoretical results from Van Koten and Luskin [32] and Ortner and Van Koten [24] to derive optimal choices of approximation parameters (blending function and finite element grid) for microcrack and di-vacancy test problems and confirm our analytical predictions in numerical tests.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General) |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Multiscale modeling, Crystalline polymers -- Defects -- Mathematical models, Continuum mechanics | ||||
Series Name: | ArXiv e-prints | ||||
Journal or Publication Title: | Computer Methods in Applied Mechanics and Engineering | ||||
Publisher: | Elsevier BV | ||||
ISSN: | 0045-7825 | ||||
Official Date: | 1 January 2013 | ||||
Dates: |
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Volume: | Volume 253 | ||||
Number: | Number 1 | ||||
Page Range: | pp. 160-168 | ||||
DOI: | 10.1016/j.cma.2012.09.007 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 22 December 2015 | ||||
Date of first compliant Open Access: | 22 December 2015 | ||||
Funder: | National Science Foundation (U.S.) (NSF), University of Minnesota. Supercomputer Institute, United States. Department of Energy, Engineering and Physical Sciences Research Council (EPSRC) | ||||
Grant number: | DMS-0757355 (NSF), DMS-0811039 (NSF), OISE-0967140 (NSF), DE-SC0002085 (DoE), EP/H003096 (EPSRC) |
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