Equilibrium Conditions at a Solid-Solid Interface

摘要

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