Multi-mode extremal architected materials with cubic symmetry

Abstract

We report a comprehensive design guide for crystalline metamaterials with cubic elasticity - the simplest anisotropic case specified by three elastic constants only. To clarify some popular misconceptions, we first present a discussion about the symmetry requirements. Next, we demonstrate a complete design protocol for periodic structures that are guaranteed to exhibit cubic elastic behaviors, with an emphasis on designs without any four-fold (i.e., 90 degrees) rotational symmetry or mirror symmetry. Further, we show some examples with different extreme anisotropic cases as well as functionalities for wave manipulation.

Publication
Behavior and Mechanics of Multifunctional Materials XVIII