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An artificial viscosity method for the Lagrangian analysis of shocks in solids with strength on unstructured, arbitrary order tetrahedral meshes

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
Related URLs:
URLURL TypeDescription
https://dx.doi.org/10.1023/A:1020064403005DOIArticle
https://link.springer.com/article/10.1023/A:1020064403005PublisherArticle
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
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)UNSPECIFIED
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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