Abstract
Eshelby's interpretation of the total energy of a stressed solid permits evaluation of the change in Gibbs free energy accompanying the deposition of an infinitesimal layer on to its surface. Under appropriate conditions this can be related to the partial molal Gibbs free energy associated with the deposited material and facilitates definition of the chemical potential at the surface of a non-hydrostatically stressed solid. The results are compared with those generated by alternative pathways and used to examine the equilibrium of a stressed phase-interface.