Adiabatic Theory of Plane Steady Shock Profiles in Solids

摘要

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.