Nacar, A. and Needleman, A. and Ortiz, M. (1989) A finite element method for analyzing localization in rate dependent solids at finite strains. Computer Methods in Applied Mechanics and Engineering, 73 (3). pp. 235-258. ISSN 0045-7825. doi:10.1016/0045-7825(89)90067-4. https://resolver.caltech.edu/CaltechAUTHORS:20180104-144547414
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Abstract
The finite element method for localization analysis of Ortiz et al. [Comp. Methods Appl. Mech. Engrg. 61] is generalized to account for finite deformations and for material rate dependence. Special shape functions are added to the finite element basis to reproduce band-like localized deformation modes. The amplitudes of these additional modes are eliminated locally by static condensation. The performance of the enhanced element is illustrated in a problem involving shear localization in a plane strain tensile bar. Solutions based on the enhanced element are compared with corresponding results obtained from the underlying compatible isoparametric quadrilateral element and from crossed-triangular and uniformly reduced integration elements. In the finite deformation context, the enhanced element solution is not very sensitive to the precise specification of initial orientation of the additional band-like modes. The enhanced element formulation described here can be used for a broad range of rate independent and rate dependent material behaviors in two dimensional and three dimensional problems.
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| Additional Information: | © 1989 Elsevier. Received 25 August 1987. Revised manuscript received 21 December 1988. The support provided by the Office of Naval Research through grants N0001485-K-0720 and N0001486-K-0262 is gratefully acknowledged. The computations were carried out at the John von Neumann Center for Scientific Computing. | |||||||||
| Group: | GALCIT | |||||||||
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| Issue or Number: | 3 | |||||||||
| DOI: | 10.1016/0045-7825(89)90067-4 | |||||||||
| Record Number: | CaltechAUTHORS:20180104-144547414 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180104-144547414 | |||||||||
| Official Citation: | A. Nacar, A. Needleman, M. Ortiz, A finite element method for analyzing localization in rate dependent solids at finite strains, In Computer Methods in Applied Mechanics and Engineering, Volume 73, Issue 3, 1989, Pages 235-258, ISSN 0045-7825, https://doi.org/10.1016/0045-7825(89)90067-4. (http://www.sciencedirect.com/science/article/pii/0045782589900674) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 84092 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Lydia Suarez | |||||||||
| Deposited On: | 05 Jan 2018 17:54 | |||||||||
| Last Modified: | 15 Nov 2021 20:16 |
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