Entropy-dominated Dissipation in Sapphire Compressed Dynamically from 14 to 87 GPa

ORAL

Abstract

States reached by dynamic compression are governed by free energy in which dissipative energy is --TS, where T is temperature and S is entropy. In a liquid like Ar effective pair interaction enegy is $\sim $0.01 ev. As a result Ar is relatively compressible with a shock rise time of $\sim $0.5 ps and 2.2 fold compression at a T of 14,000 K at 50 GPa. Thermal energy is $\sim $90{\%} of shock energy. Entropy changes are small in a shocked fluid and dissipative energy appears primarily as T. We have measured wave profiles of sapphire with elastic strength of $\sim $15 GPa in three different crystal orientations at shock stresses of 14, 24, and 87 GPa. At 24 GPa the rise time of the plastic wave is $\sim $300 ns, 5 orders of magnitude greater than in liquid Ar. At 50 GPa sapphire is compressed 1.1 fold to a T of $\sim $500 K. Thermal pressures are negligible and bond strengths are $\sim $1 ev, about 2 orders of magnitude greater than in Ar. Bonds in sapphire probably break over $\sim $10s of ns. This long rise time causes quasi-isentropic compression with negligible shock heating. Dissipative energy goes primarily into the entropy of disordering the strong 3-D lattice, rather than into T.

Authors

  • W.J. Nellis

    Army Research Office, Harvard University

  • G.I. Kanel

    Institute for High Temperatures, Joint Institute for High Temperatures RAS, Moscow, Russia, Joint Institute for High Temperatures of Russian Academy of Sciences, Joint Institute for High Temperatures of RAS, Moscow, Russia, Joint Institute for High Temperatures, Moscow, Russia

  • G.I. Kanel

    Institute for High Temperatures, Joint Institute for High Temperatures RAS, Moscow, Russia, Joint Institute for High Temperatures of Russian Academy of Sciences, Joint Institute for High Temperatures of RAS, Moscow, Russia, Joint Institute for High Temperatures, Moscow, Russia

  • G.I. Kanel

    Institute for High Temperatures, Joint Institute for High Temperatures RAS, Moscow, Russia, Joint Institute for High Temperatures of Russian Academy of Sciences, Joint Institute for High Temperatures of RAS, Moscow, Russia, Joint Institute for High Temperatures, Moscow, Russia

  • W.J. Nellis

    Army Research Office, Harvard University