Vacancy and surface diffusion in crystalline bodies undergoing shape change and eigentransformation

This thesis concerns about the coupling of elastic deformation and configuration change. Substitutional vacancy diffusion within a crystalline body is linked to the configuration change of the body. The surface is treated as vacancy source/sink. The traditional energy-momentum tensor is augmented after considering a special type of eigentransformation. Thus the mystery of the work-conjugate of the energy-momentum tensor is discovered. The eigentransformation was taken as the compositional transformation that is due to the change of a local composition. The governing equations within a bulk are deduced and the compositional eigentransformation is merged into stress-assisted diffusion seamlessly. The new coupling equation brings up a different phenomenon from the traditional theory.; The governing equations on a surface with a time-varying reference are also derived merely based on thermodynamics and differential geometry. It breaks the limitation of the equilibrium-state assumption in most of the interface analysis. Thus the coupling of deformation and configuration is clarified both in the bulk and on a surface.