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Topological Interlocking assemblies are arrangements of blocks kinematicallyconstrained by a fixed frame, such that all rigid body motions of each blockare constrained only by its permanent contact with other blocks and the frame.In the literature several blocks are introduced that can be arranged intodifferent interlocking assemblies. In this study we investigate the influenceof arrangement on the overall structural behaviour of the resultinginterlocking assemblies. This is performed using the Versatile Block, as it canbe arranged in three different doubly periodic ways given by wallpapersymmetries. Our focus lies on the load transfer mechanisms from the assemblyonto the frame. For fast a priori evaluation of the assemblies we introduce acombinatorial model called Interlocking Flows. To investigate our assembliesfrom a mechanical point of view we conduct several finite element studies.These reveal a strong influence of arrangement on the structural behaviour, forinstance, an impact on both the point and amount of maximum deflection. Theresults of the finite element analysis are in very good agreement with thepredictions of the Interlocking Flow model. Our source code, data and examplesare available under https://doi.org/10.5281/zenodo.10246034.

Mechanical Comparison of Arrangement Strategies for Topological Interlocking Assemblies