3 papers
math.MG2026
An algorithmic approach for computing fundamental domains of crystallographic groups
Reymond Akpanya, Alice C. Niemeyer, Lukas Schnelle
A crystallographic group is a discrete subgroup of the Euclidean group that has a compact fundamental domain. Since such a crystallographic group is infi…
cs.CE2025
On the impact of geometric variance on the performance of formed parts: A probabilistic approach on the example of airbag pressure bins
Lukas Schnelle, Niklas Fehlemann, Ali O. M. Kilicsoy +6
Scatter in properties resulting from manufacturing is a great challenge in lightweight design, requiring consideration of not only the average mechanical performance but also the v…
cond-mat.mtrl-sci2025
Influence of a generative parameter on the mechanical performance of topological interlocking assemblies of a hexagonal block
Lukas Schnelle, Meike WeiÃ, Reymond Akpanya +2
A topological interlocking assembly is an arrangement of blocks, where all blocks are kinematically constrained by their neighboring blocks and a fixed frame. This concept has been…