Multiscale analysis of heterogeneous brittle materials using domain decomposition techniques
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In this contribution we present a multiscale framework for the analysis of brittle materials based on domain decomposition approaches. In particular, the FETI (Finite Element Tearing and Interconnecting)  method is selected to solve the decomposed structure. We start our analysis at a coarse level were effective properties are assigned to the homogeneous bulk. Using indicators, based on the constitutive model, we predict the moment at which non-linearities start int a certain domain (i.e. growth and propagation of damage). A zoom-in technique based on mesh refinement is applied to these domains and the underlying mesostructure is accounted for during the non-linear regime. The methodology proves to be a valuable application of the existing divide and conquer approaches for those materials that show localized failure phenomena. In these situations, computations need to be carried at a higher resolution level at places where the main non-linearities appear in order to accurately capture the global response.
CitacióLloberas-Valls, O., Rixen, D., Simone, A., Sluys, L. Multiscale analysis of heterogeneous brittle materials using domain decomposition techniques. A: European Conference on Computational Mechanics. "ECCM 2010: IV European Conference on Computational Mechanics; Solids, Structures and Coupled Problems in Engineering: Paris, France, May 16-21, 2010". Paris: 2010, p. 1-8.