Table of Contents
Journal of Thermodynamics
Volume 2011 (2011), Article ID 940385, 10 pages
http://dx.doi.org/10.1155/2011/940385
Research Article

Equilibrium Conditions at a Solid-Solid Interface

Los Alamos National Laboratory, Theoretical Division, MS-B221, Los Alamos, NM 87545, USA

Received 22 July 2010; Revised 3 December 2010; Accepted 5 January 2011

Academic Editor: Mohammad Al-Nimr

Copyright © 2011 JeeYeon N. Plohr. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We derive the thermodynamic conditions necessary for two elastoplastic solid phases to coexist in equilibrium. Beyond temperature, velocity, and traction continuity, these conditions require continuity of a generalization of the specific Gibbs free energy. We express this quantity in the Eulerian frame as well as the Lagrangian frame. We also show that two approaches in deriving the equilibrium conditions, one on the continuum level and the other on the atomistic scale, yield the same results. Finally, we discuss two possible interpretations for the Gibbs free energy, which lead to distinct generalizations, except in the case of inviscid fluids, where they coincide.