Hyperuniformity of Disordered Network Metamaterials Derived from Hyperuniform Point Patterns

Disordered hyperuniform two-phase heterogeneous materials are those whose density fluctuations are anomalously suppressed at large length scales compared to standard disordered materials. Such hyperuniform materials are found to possess unique and desirable transport and elastic properties that are isotropic and robust to defects. Disordered network metamaterials are another exciting class of structure, which have better stiffness- and strength-to-weight ratios than their bulk counterparts. Thus, it is of interest to design and characterize disordered hyperuniform network metamaterials that inherit the desirable properties of both of the aforementioned classes of media. Here, we characterize the structure of networks generated via Voronoi, Delaunay, Delaunay-Centroidal, and Gabriel tessellations of stealthy and non-stealthy hyperuniform point patterns with tunable short-range disorder. In particular, we examine the extent to which the hyperuniformity of the underlying point pattern is preserved when converted into a disordered network metamaterial. This work will inform the design of 3D-printable disordered hyperuniform materials for use in, e.g., the biomedical and areospace fields.