Lewis, A. C. and Radovitzky, R. and Ortiz, M. (2001) An artificial viscosity method for the Lagrangian analysis of shocks in solids with strength on unstructured, arbitrary order tetrahedral meshes. Journal of Computer-Aided Materials Design, 8 (2/3). pp. 213-231. ISSN 0928-1045. https://resolver.caltech.edu/CaltechAUTHORS:20171212-143743641
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Abstract
We present an artificial viscosity scheme tailored to finite-deformation Lagrangian calculations of shocks in materials with or without strength on unstructured tetrahedral meshes of arbitrary order. The artificial viscous stresses are deviatoric and satisfy material-frame indifference exactly. We have assessed the performance of the method on selected tests, including: a two-dimensional shock tube problem on an ideal gas; a two-dimensional piston problem on tantalum without strength; and a three-dimensional plate impact problem on tantalum with strength. In all cases, the artificial viscosity scheme returns stable and ostensibly oscillation-free solutions on meshes which greatly underresolve the actual shock thickness. The scheme typically spreads the shock over 4 to 6 elements and captures accurately the shock velocities and jump conditions.
| Item Type: | Article | |||||||||
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| Additional Information: | © Kluwer Academic Publishers 2001. Received 15 May 2001; Accepted 12 September 2001. Support from the DoE through Caltech's ASCI/ASAP Center for the Simulation of the Dynamic Response of Solids is gratefully acknowledge. We are grateful to Dan Meiron, Joe Shepherd and Ron Cohen for helpful discussions and suggestions. | |||||||||
| Group: | GALCIT | |||||||||
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| Subject Keywords: | Artificial viscosity, Lagrangian formulation, Plasticity, Shock physics | |||||||||
| Issue or Number: | 2/3 | |||||||||
| Record Number: | CaltechAUTHORS:20171212-143743641 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20171212-143743641 | |||||||||
| Official Citation: | Lew, A., Radovitzky, R. & Ortiz, M. Journal of Computer-Aided Materials Design (2001) 8: 213. https://doi.org/10.1023/A:1020064403005 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 83835 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Lydia Suarez | |||||||||
| Deposited On: | 19 Dec 2017 22:50 | |||||||||
| Last Modified: | 03 Oct 2019 19:11 |
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