This dataset contains all data as used for the paper 'Oligomodal metamaterials with multifunctional mechanics', as published in the Proceedings of the National Academy of Sciences. Abstract: Mechanical metamaterials are artificial composites that exhibit a wide range of advanced functionalities such as negative Poisson’s ratio, shape-shifting, topological protection, multistability, extreme strength-to-density ratio and enhanced energy dissipation. In particular, flexible metamaterials often harness zero-energy deformation modes. To date, such flexible metamaterials have a single property, e.g. a single shape change, or are pluripotent, i.e. they can have many different responses, but typically require complex actuation protocols. Here, we introduce a novel class of oligomodal metamaterials that encode a few distinct properties that can be selectively controlled under uniaxial compression. To demonstrate this concept, we introduce a combinatorial design space containing various families of metamaterials. These families include monomodal—i.e. with a single zero-energy deformation mode, oligomodal—i.e. with a constant number of zero-energy deformation modes, and plurimodal—i.e. with many zero-energy deformation modes, whose number increases with system size. We then confirm the multifunctional nature of oligomodal metamaterials using both boundary textures and viscoelasticity. In particular, we realize a metamaterial that has a negative (positive) Poisson’s ratio for low (high) compression rate over a finite range of strains. The ability of our oligomodal metamaterials to host multiple mechanical responses within a single structure paves the way towards multi-functional materials and devices.

C.C. acknowledges funding from 566 the European Research Council grant ERC-StG-Coulais-852587-Extr3Me.