Topology evolution of composite structures based on a phase field model

The composition of fibers and matrix is great importance in several fields engineering, such as steel reinforcement concrete for civil engineering or lightweight applications the automotive aviation industry, it allows combining advantages both materials. If bond between ideally strong enough, mechanical deformation can be assumed to equal With this assumption we set up a phase field model evolving topology reinforcement. parameter represents regions sense averaged increased stiffness since do not intend simulate single fibers. A similar but optimization based on equivalent stresses was introduced by Muench et al. [1]. In many materials, viscoelastic behavior observed. Therefore, also consider viscoelasticity our matrix.