Ortiz, Michael and Leroy, Yves and Needleman, Alan (1987) A finite element method for localized failure analysis. Computer Methods in Applied Mechanics and Engineering, 61 (2). pp. 189-214. ISSN 0045-7825. doi:10.1016/0045-7825(87)90004-1. https://resolver.caltech.edu/CaltechAUTHORS:20180104-150608642
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Abstract
A method is proposed which aims at enhancing the performance of general classes of elements in problems involving strain localization. The method exploits information concerning the process of localization which is readily available at the element level. A bifurcation analysis is used to determine the geometry of the localized deformation modes. When the onset of localization is detected, suitably defined shape functions are added to the element interpolation which closely reproduce the localized modes. The extra degrees of freedom representing the amplitudes of these modes are eliminated by static condensation. The proposed methodology can be applied to 2-D and 3-D problems involving arbitrary rate-independent material behavior. Numerical examples demonstrate the ability of the method to resolve the geometry of localized failure modes to the highest resolution allowed by the mesh.
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| Additional Information: | © 1987 Elsevier. Received 9 April 1986. M. Ortiz and Y. Leroy gratefully acknowledge support from the Office of Naval Research under grant N00014-85-K-0720. A. Needleman is grateful for the support provided by the U.S. National Science Foundation through grant MSM-8419338. | |||||||||
| Group: | GALCIT | |||||||||
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| Issue or Number: | 2 | |||||||||
| DOI: | 10.1016/0045-7825(87)90004-1 | |||||||||
| Record Number: | CaltechAUTHORS:20180104-150608642 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180104-150608642 | |||||||||
| Official Citation: | Michael Ortiz, Yves Leroy, Alan Needleman, A finite element method for localized failure analysis, In Computer Methods in Applied Mechanics and Engineering, Volume 61, Issue 2, 1987, Pages 189-214, ISSN 0045-7825, https://doi.org/10.1016/0045-7825(87)90004-1. (http://www.sciencedirect.com/science/article/pii/0045782587900041) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 84099 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Lydia Suarez | |||||||||
| Deposited On: | 05 Jan 2018 00:20 | |||||||||
| Last Modified: | 15 Nov 2021 20:16 |
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