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Published May 2001 | metadata_only
Journal Article

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


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.

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.

Additional details

August 19, 2023
August 19, 2023