Dynamic solid-solid transitions with phase characterized by an order parameter

Abstract: "We develop a thermodynamically consistent continuum theory for the study of solid-solid phase transitions where deformation dominates heat and mass transfer. We use an order parameter to characterize the notion of phase and identify phase interfaces with thin transition zones within which the strain and order parameter exhibit large gradients. To model the growth of one phase at the expense of another we introduce configurational forces, subject to their own balance, that work against changes in the order parameter. By studying traveling waves and the asymptotics of a transition layer, we establish connections between our theory and more standard approaches that identify phase interfaces with surfaces of strain discontinuity."