Abstract
The presented 3D multiscale projection technique is an extension of the 2D version proposed in [2]. Especially in three dimensions it is essential to have efficient numerical methods at hand that are capable of dealing with complex mechanical problems such as localization phenomena on multiple scales. These phenomena are important to consider accurately since microstructural features can have a significant influence on the propagation behavior of a macrocrack. In the presented method, we employ the corrected version of the XFEM to account for the discontinuities in the displacement field due to cracks on all scales. Further improvements of the multiscale technique that lead to a reduction in computational time are shown.
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