Shock viscosity and the prediction of shock wave rise times
Authors:
- 15 July 1985
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 58 (2) , 692-701
Abstract
The present study is focused on viscouslike behavior of solids during large-amplitude compressive stress-wave propagation. Maximum strain rate in the plastic wave has been determined for 30 steady- or near steady-wave profiles obtained with velocity interferometry methods. The materials include six metals, aluminum, beryllium, bismuth, copper, iron, and uranium, and two insulating solids, magnesium oxide and fused silica. A plot of Hugoniot stress versus maximum strain rate for each material is adequately described by η̇=aσmh. The exponent m is approximately 4 for all materials while the coefficient a is material dependent. A model is developed which incorporates the observed trends of the shock viscosity data in a three-dimensional framework. Finite-difference calculations using the model reproduce the experimental wave profile data.Keywords
This publication has 17 references indexed in Scilit:
- Rise-time measurements of shock transitions in aluminum, copper, and steelJournal of Applied Physics, 1979
- Laser interferometer for measuring high velocities of any reflecting surfaceJournal of Applied Physics, 1972
- Finite amplitude longitudinal waves in latticesInternational Journal of Mechanical Sciences, 1969
- On Shock Structure in a SolidIMA Journal of Applied Mathematics, 1965
- Physical Nature of Shock PropagationAmerican Journal of Physics, 1961
- Studies in the theory of shock propagation in solidsJournal of Geophysical Research, 1960
- The boundary layer nature of shock transition in a real fluidQuarterly of Applied Mathematics, 1952
- On the Thickness of a Steady Shock WaveJournal of the Aeronautical Sciences, 1950
- The conditions necessary for discontinuous motion in gasesProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1910
- Aerial plane waves of finite amplitudeProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1910