Perturbation solution for shock waves in a dissipative lattice
- 1 May 1973
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 44 (5) , 2245-2251
- https://doi.org/10.1063/1.1662544
Abstract
A perturbation solution is obtained for the propagation of longitudinal shock waves in a one‐dimensional dissipative lattice with a velocity step applied to the first mass. The nonlinear part of the elastic interaction force between neighboring particles is assumed to be of parabolic form. Linear dissipation interaction forces are assumed. Within the range of validity of the solution, the dispersive oscillations at the head of the shock wave are found to grow, remain essentially steady, or diminish with distance, depending on the conflicting effects of nonlinearity of the elastic forces and the dissipative forces.This publication has 10 references indexed in Scilit:
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