Phase Separation Coupled with Damage Processes - Analysis of Phase Field Models in Elastic Media (Paperback, 2014)

Christian Heinemann explores a unifying model which couples phase separation and damage processes in a system of partial differential equations. The model has technological applications to solder materials where interactions of both phenomena have been observed and cannot be neglected for a realistic description. The author derives the equations in a thermodynamically consistent framework and presents suitable weak formulations for various types of this coupled system. In the main part, he proves the existence of weak solutions and investigates degenerate limits.