This paper focuses on the stiffness and strength of lattices with multiple hierarchical levels.
We examine two-dimensional and three-dimensional lattices with up to three levels of
structural hierarchy. At each level, the topology and the orientation of the lattice are
prescribed, while the relative density is varied over a defined range. The properties of
selected hierarchical lattices are obtained via a multiscale approach applied iteratively at
each hierarchical level. The results help to quantify the effect that multiple orders of structural …