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Published September 2001 | Submitted
Journal Article Open

An analysis of the quasicontinuum method


The aim of this paper is to present a streamlined and fully three-dimensional version of the quasicontinuum (QC) theory of Tadmor et al. (Philos. Mag. A 73 (1996) 1529; Langmuir 12 (1996) 4529) and to analyze its accuracy and convergence characteristics. Specifically, we assess the effect of the summation rules on accuracy; we determine the rate of convergence of the method in the presence of strong singularities, such as point loads; and we assess the effect of the refinement tolerance, which controls the rate at which new nodes are inserted in the model, on the development of dislocation microstructures.

Additional Information

© 2001 Elsevier. The support of the Department of Energy through Caltech's ASCI/ASAP Center for the Simulation of the Dynamic Behavior of Solids is gratefully acknowledged.

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