Estimate of temperature distributions in steady-plane-wave fronts using a Hugoniot function

The purpose of this study was to establish a method for estimating temperat ure distributions in steady-plane-wave fronts in a thermoviscous material u sing a Hugoniot function. To this end, under the fundamental assumption tha t the material in the wave front is approximately in an equilibrium state, two irreversible thermodynamic equations for temperature in the wave front were derived. In the first equation, heat transport was neglected, and in t he second equation, the work done by thermal stress was offset by heat tran sport. The temperature distributions were evaluated qualitatively under the assumption of heat transport. This evaluation indicated that the second eq uation was effective if the effects of viscosity were large. These two equa tions were applied to the shock compressions up to 140 GPa of yttria-doped tetragonal zirconia. The second equation sufficiently predicted temperature behind the shock and also fairly accurately predicted temperatures in the shock front. The influence of heat transport on both temperatures was also examined. (C) 2001 American Institute of Physics.