  In this contribution we investigate the application of phase-field fracture
models on non-linear multiscale computational homogenization schemes. In
particular, we introduce different phase-fields on a two-scale problem and
develop a thermodynamically consistent model. This allows on the one hand for
the prediction of local micro-fracture patterns, which effectively acts as an
anisotropic damage model on the macroscale. On the other and, the
macro-fracture phase-field model allows to predict complex fracture pattern
with regard to local microstructures. Both phase-fields are introduced in a
common framework, such that a joint consistent linearization for the
Newton-Raphson iteration can be developed. Finally, the limits of both models
as well as the applicability are shown in different numerical examples.
