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Topology and geometry of solids |
Topology-based modeling: attribute the model properties to topology.
Both large deformations and fracture (void) growth change the perceived topology of the solid (metal forming, impact fragmentation, ...)
Geometry may be the driving force of topology evolution.
Geometry changes are defined via the discrete model --> the new geometry needs to be transferred from the finite element mesh to the topological/geometrical model.
Replacing the original geometry by the collection of the mesh faces may lead to information loss. Possible remedies: subdivision surfaces to enhance the fairness of the approximated geometry.