Published September 2001
| Submitted
Journal Article
Open
An analysis of the quasicontinuum method
Abstract
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.Attached Files
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0103455.pdf
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Additional details
- Eprint ID
- 83844
- Resolver ID
- CaltechAUTHORS:20171212-152307212
- Department of Energy (DOE)
- Created
-
2017-12-19Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
- Caltech groups
- GALCIT