Dr. Rubén Rosales
We introduce (and present the results of) a new model for the solid
to solid phase transitions that result from shock loading. This model
introduces (essentially) a single free "viscosity" parameter, which
we adjust to fit the experimental measurements. We are currently
exploring the possibility that this process can be turned around,
and be used as a way to measure the wave dissipation that occurs in
materials at very high pressures (e.g. deep below the Earth surface).
The solid-to-solid phase transitions that result from the shock
loading of certain materials, such as the graphite-to-diamond
transition, and the $\alpha$-$\epsilon$ transition in iron, have
been the subject of a substantial theoretical and experimental
literature. Recently a model for such transitions was introduced
which, based on a Critical Stress condition (CS). The CS model,
without the use of fitting parameters, accounts quantitatively for
the main features of the existing observations in a number of systems.
However, disagreements in some details between the predictions and
experiment do exist. In this work we present a new version of the
CS model, the viscous CS model (vCS), as well as a numerical method
for its solution. The combination of the new model and solver results
in a much improved overall modeling capability.
Trabajo en colaboracion con J. Weatherwax, D. Vaynblat, and O. Bruno |