Numerical and Theoretical Modelling of the Chemo-Mechanical Responses of Solid Solutions

Abstract

This thesis derives a continuum theory for solid solutions undergoing chemo-mechanical processes. The theoretical foundations rely on modern continuum mechanics, thermodynamics far from equilibrium, and phase-field models. A set of balance equations in the form of partial differential equations captures the evolution process. These equations describe how mass, linear and angular momenta, internal energy and entropy vary in time as deformation, mass transport, and chemical reactions take place.