Image‐based analysis of complex microstructures using the finite cell method

Geometry conforming meshing techniques such as the finite element method (FEM) face a big challenge when dealing with complex and heterogeneous microstructures. Therefore, efficient simulation methods are needed combining accurate morphological reproducibility computational efficiency. For problems, cell (FCM) is promising approach, which uses Cartesian grid – independent of geometry leading to fast mesh generation. However, handle microstructures cemented sands FCM not sufficient anymore. three different versions presented: first, FCM, directly applied CT scans (denoted “VoxelFCM”). Second, combined global L2-projection, smooth description “FCM”). And finally, L2--projection, extended by local enrichment capture weak discontinuities at interfaces between phases “FCM-Enrichment”). First, in numerical study, investigated. Then, these verified against FEM. Finally, used gain deeper insight into micromechanical phenomena under compressive loading.