TY - GEN A1 - Kraus, Christiane A1 - Heinemann, Christian T1 - Existence of weak solutions for Cahn-Hilliard systems coupled with elasticity and damage N2 - A typical phase field approach for describing phase separation and coarsening phenomena in alloys is the Cahn-Hilliard model. This model has been generalized to the so-called Cahn-Larche system by combining it with elasticity to capture non-neglecting deformation phenomena, which occur during phase separation and coarsening processes in the material. In order to account for damage effects, we extend the existing framework of Cahn-Hilliard and Cahn-Larche systems by incorporating an internal damage variable of local character. This damage variable allows to model the effect that damage of a material point is influenced by its local surrounding. The damage process is described by a unidirectional rate-dependent evolution inclusion for the internal variable. For the introduced Cahn-Larche systems coupled with rate-dependent damage processes, we establish a suitable notion of weak solutions and prove existence of weak solutions. KW - Cahn-Hilliard systems KW - phase separation KW - damage KW - elliptic-parabolic systems KW - weak solution KW - doubly nonlinear differential inclusions KW - existence results KW - rate-dependent systems Y1 - 2011 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/950 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-9505 ER -