Ortiz, M. and Quigley, J. J., IV (1991) Adaptive mesh refinement in strain localization problems. Computer Methods in Applied Mechanics and Engineering, 90 (1-3). pp. 781-804. ISSN 0045-7825. doi:10.1016/0045-7825(91)90184-8. https://resolver.caltech.edu/CaltechAUTHORS:20180102-162039472
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Abstract
An adaptive meshing method tailored to problems of strain localization is given. The adaption strategy consists of equi-distributing the variation of the velocity field over the elements of the mesh. A heuristic justification for the use of variations as indicators is advanced, and possible connections with interpolation error bounds are discussed. Meshes are constructed by Delaunay triangulation. It is shown how the Hu-Washizu principle determines a consistent transfer operator for the state variables. Examples of application are given which demonstrate the versatility of the method.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1991 Elsevier. Received 30 August 1990, Revised 20 February 1991. The support of the Office of Naval Research through grant N00014-90-J-1758 is gratefully acknowledged. | |||||||||
| Group: | GALCIT | |||||||||
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| Issue or Number: | 1-3 | |||||||||
| DOI: | 10.1016/0045-7825(91)90184-8 | |||||||||
| Record Number: | CaltechAUTHORS:20180102-162039472 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180102-162039472 | |||||||||
| Official Citation: | M. Ortiz, J.J. Quigley, Adaptive mesh refinement in strain localization problems, In Computer Methods in Applied Mechanics and Engineering, Volume 90, Issues 1–3, 1991, Pages 781-804, ISSN 0045-7825, https://doi.org/10.1016/0045-7825(91)90184-8. (http://www.sciencedirect.com/science/article/pii/0045782591901848) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 84046 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Lydia Suarez | |||||||||
| Deposited On: | 03 Jan 2018 00:29 | |||||||||
| Last Modified: | 15 Nov 2021 20:16 |
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