Shock waves in a one-dimensional non-dissipating lattice
- 1 October 1969
- journal article
- Published by IOP Publishing in Journal of Physics D: Applied Physics
- Vol. 2 (10) , 1389-1396
- https://doi.org/10.1088/0022-3727/2/10/305
Abstract
A one-dimensional lattice model is studied for shock wave propagation. Two types of non-linear nearest neighbour interactions are considered. Numerical solutions of the resulting differential-difference equations of motion are described. Computations yield values of steady particle velocity which agree with predictions of the Rankine-Hugoniot jump conditions for a continuum; shock velocities exceed those predicted by the jump conditions by as much as 6%.Keywords
This publication has 4 references indexed in Scilit:
- Steady Shock Profile in a One-Dimensional LatticeJournal of Applied Physics, 1969
- Finite amplitude longitudinal waves in latticesInternational Journal of Mechanical Sciences, 1969
- Vibration of a Chain with Nonlinear InteractionJournal of the Physics Society Japan, 1967
- Shock wave propagation in cubic latticesJournal of Geophysical Research, 1966