Equilibrium Conditions at a Solid-Solid Interface. (13th January 2011)

• Record Type: Journal Article
• Authors: Plohr, JeeYeon N.
• Other Names: Al-Nimr Mohammad Academic Editor.
• Is Part Of: Journal of thermodynamics. Volume 2011(2011)
• Publication Date: 2011-01-13
• Subjects: Thermodynamics -- Periodicals; Thermodynamics; Periodicals; Electronic journals; 536.7
• DOI: 10.1155/2011/940385
• Languages: English
• ISSNs: 1687-9244

Abstract

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.