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STRESS-BASED ATOMISTIC/CONTINUUM COUPLING: A NEW VARIANT OF THE QUASICONTINUUM APPROXIMATION

Abstract:

The force-based quasicontinuum (QCF) approximation is the principle that lies behind the most commonly used atomistic/continuum hybrid models for crystalline solids. Recent analyses have shown some potential pitfalls of the QCF method, particularly the lack of positive definiteness of the linearized QCF operator and the lack of uniform stability as the number of atoms tends to infinity. We derive a weak variational representation of the QCF operator and identify the origin of these difficulti...

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Publication status:
Published

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Journal:
INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING
Volume:
10
Issue:
1
Pages:
51-64
Publication date:
2012-01-01
ISSN:
1543-1649
URN:
uuid:64ccc676-0777-4227-8a61-8ad254ae6a80
Source identifiers:
321706
Local pid:
pubs:321706

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