Molinari, J. F. and Ortiz, M. (2002) Three-dimensional adaptive meshing by subdivision and edge-collapse in finite-deformation dynamic-plasticity problems with application to adiabatic shear banding. International Journal for Numerical Methods in Engineering, 53 (5). pp. 1101-1126. ISSN 0029-5981. doi:10.1002/nme.325. https://resolver.caltech.edu/CaltechAUTHORS:20171128-141604699
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Abstract
This paper is concerned with the development of a general framework for adaptive mesh refinement and coarsening in three-dimensional finite-deformation dynamic–plasticity problems. Mesh adaption is driven by a posteriori global error bounds derived on the basis of a variational formulation of the incremental problem. The particular mesh-refinement strategy adopted is based on Rivara's longest-edge propagation path (LEPP) bisection algorithm. Our strategy for mesh coarsening, or unrefinement, is based on the elimination of elements by edge-collapse. The convergence characteristics of the method in the presence of strong elastic singularities are tested numerically. An application to the three-dimensional simulation of adiabatic shear bands in dynamically loaded tantalum is also presented which demonstrates the robustness and versatility of the method.
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| Additional Information: | © 2001 John Wiley & Sons Received 22 August 2000. Revised 9 March 2001. The authors are grateful for financial support provided by the US Army Research Office under grantDAAH04-96-1-0056, and by the US Department of Energy through Caltech’s Asci/ASAP Center for the Simulation of the Dynamic Behavior of Materials. We also gratefully acknowledge helpful discussions with L. Stainier and P. Mabille regarding the Ta shear-band simulations. | |||||||||
| Group: | GALCIT | |||||||||
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| Subject Keywords: | finite elements; adaptive meshing; error estimation; finite deformations | |||||||||
| Issue or Number: | 5 | |||||||||
| DOI: | 10.1002/nme.325 | |||||||||
| Record Number: | CaltechAUTHORS:20171128-141604699 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20171128-141604699 | |||||||||
| Official Citation: | Molinari, J. F. and Ortiz, M. (2002), Three-dimensional adaptive meshing by subdivision and edge-collapse in finite-deformation dynamic–plasticity problems with application to adiabatic shear banding. Int. J. Numer. Meth. Engng., 53: 1101–1126. doi:10.1002/nme.325 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 83541 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Lydia Suarez | |||||||||
| Deposited On: | 28 Nov 2017 23:33 | |||||||||
| Last Modified: | 15 Nov 2021 20:12 |
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