Adiabatic Theory of Plane Steady Shock Profiles in Solids
- 1 June 1971
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 42 (7) , 2925-2933
- https://doi.org/10.1063/1.1660650
Abstract
Duvall, Manvi, and Lowell have shown a close relationship between a continuum theory of shock structures in solids and that of one-dimensional lattices. In this paper, extending their results, we have shown that the thermodynamical behaviors of shock structures are equivalent to those of the dissipative autonomous system described by a generalized Liénard equation. The theory assumes adiabatic conditions and the relaxational transformation of instantaneous work into equilibrium internal energy.This publication has 11 references indexed in Scilit:
- Characteristics of Compressible Fluids and the Effects of Heat Conduction and ViscosityAmerican Journal of Physics, 1970
- Steady Shock Profile in a One-Dimensional LatticeJournal of Applied Physics, 1969
- Finite amplitude longitudinal waves in latticesInternational Journal of Mechanical Sciences, 1969
- Method of accelerated successive replacement applied to boundary-layer equations.AIAA Journal, 1968
- Shock wave propagation in cubic latticesJournal of Geophysical Research, 1966
- On Shock Structure in a SolidIMA Journal of Applied Mathematics, 1965
- Waves in materials with memoryArchive for Rational Mechanics and Analysis, 1965
- Waves in materials with memory IV. Thermodynamics and the velocity of general acceleration wavesArchive for Rational Mechanics and Analysis, 1965
- Studies in the theory of shock propagation in solidsJournal of Geophysical Research, 1960
- Some comments on wave propagation and shock wave structure with application to magnetohydrodynamicsCommunications on Pure and Applied Mathematics, 1959