Knapp, J. and Ortiz, M. (2001) An analysis of the quasicontinuum method. Journal of the Mechanics and Physics of Solids, 49 (9). pp. 1899-1923. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20171212-152307212
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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.
| Item Type: | Article | ||||||||||||
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| 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. | ||||||||||||
| Group: | GALCIT | ||||||||||||
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| Subject Keywords: | A. Quasicontinuum; B. Error analysis; C. Nanoindentation; D. Atomistic models | ||||||||||||
| Issue or Number: | 9 | ||||||||||||
| Record Number: | CaltechAUTHORS:20171212-152307212 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20171212-152307212 | ||||||||||||
| Official Citation: | J. Knap, M. Ortiz, An analysis of the quasicontinuum method, In Journal of the Mechanics and Physics of Solids, Volume 49, Issue 9, 2001, Pages 1899-1923, ISSN 0022-5096, https://doi.org/10.1016/S0022-5096(01)00034-5. (http://www.sciencedirect.com/science/article/pii/S0022509601000345) | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 83844 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Lydia Suarez | ||||||||||||
| Deposited On: | 19 Dec 2017 22:39 | ||||||||||||
| Last Modified: | 24 Feb 2020 10:30 |
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