This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Bonetti, ElenaHeinemann, ChristianKraus, ChristianeSegatti, Antonio2016-03-242019-06-2820130946-8633https://doi.org/10.34657/2662https://oa.tib.eu/renate/handle/123456789/3224In this work, we analytically investigate a multi-component system for describing phase separation and damage processes in solids. The model consists of a parabolic diffusion equation of fourth order for the concentration coupled with an elliptic system with material dependent coefficients for the strain tensor and a doubly nonlinear differential inclusion for the damage function. The main aim of this paper is to show existence of weak solutions for the introduced model, where, in contrast to existing damage models in the literature, different elastic properties of damaged and undamaged material are regarded. To prove existence of weak solutions for the introduced model, we start with an approximation system. Then, by passing to the limit, existence results of weak solutions for the proposed model are obtained via suitable variational techniques.application/pdfeng510Cahn-Hilliard systemphase separationelliptic-parabolic systemsdoubly nonlinear differential inclusionscomplete damageexistence resultsenergetic solutionsweak solutionslinear elasticityrate-dependent systemsDiffusionsgleichungNumerisches ModellFestkörpermechanikReport