2014 | OriginalPaper | Chapter
Cahn-Hilliard systems coupled with complete damage processes and homogeneous elasticity
Authors : Christian Heinemann, Christiane Kraus
Published in: Phase Separation Coupled with Damage Processes
Publisher: Springer Fachmedien Wiesbaden
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This chapter combines the approach from Chapter 4 with the ideas from the preceding chapter. More specifically, we are going to investigate existence of weak solutions for complete damage systems which are coupled with degenerating Cahn-Hilliard equations. The diffusion mobility tensor depends on the damage variable and vanishes when the damage is maximal. Therefore, we have two degenerating terms in the resulting system: the elastic energy density and the mobility tensor.