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Topological Interlocking Structures (TIS) have been increasingly studied inthe past two decades. However, some fundamental questions concerning theeffects of Young's modulus and the friction coefficient on the structuralmechanics of the most common type of TIS application - centrally loaded slabs -are not yet clear. Here, we present a first-of-its-kind parametric study basedon the Level-Set-Discrete-element-Method that aims to clarify how these twoparameters affect multiple aspects of the behavior and failure ofcentrally-loaded TIS slabs. This includes the evolution of the structuralresponse up to and including failure, the foremost structural responseparameters, and the residual carrying capacity. We find that the structuralresponse parameters in TIS slabs scale linearly with Young's modulus, that theysaturate with the friction coefficient, and that the saturated responseprovides an upper-bound on the capacity of centrally loaded TIS slabs reportedin the literature. This, together with additional findings, insights, andobservations, comprise a novel contribution to our understanding of theinterlocked structural form.

Scaling, saturation, and upper bounds in the failure of topologically interlocked structures