Published August 1, 1990
| Version v1
Journal article
Efficient time integration of a viscoplastic model for shock waves
Creators
- 1. Earth Sciences Department, Lawrence Livermore National Laboratory, University of California, Livermore, California 94550 (USA)
Description
An unconditionally stable numerical procedure is developed to integrate the stiff differential equation associated with the flow rule for viscoplasticity used by Swegle and Grady [J. Appl. Phys. 58, 692 (1985)] to predict shock structure. Following the work of Rubin [J. Appl. Math. Phys. ZAMP 40, 846 (1989)] the flow rule is integrated implicitly and is converted into a scalar equation. It is shown that for the Swegle--Grady model this scalar equation reduces to a quadratic equation that can be solved without iteration
Additional details
Publishing Information
- Journal Title
- Journal of Applied Physics
- Journal Volume
- 68
- Journal Issue
- 3
- Series
- J. Appl. Phys.
- Journal Page Range
- 1356-1358
- ISSN
- 0021-8979
- CODEN
- JAPIA
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 21084557
- Subject category
- S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
- Descriptors DEI
- MATHEMATICAL MODELS; NUMERICAL SOLUTION; PLASTICITY; SHOCK WAVES; SOLIDS; VISCOSITY
- Descriptors DEC
- MECHANICAL PROPERTIES