Combinatorial Design of Textured Mechanical Metamaterials

TL;DR

This paper introduces a combinatorial design method for creating aperiodic, frustration-free mechanical metamaterials with programmable, textured functionalities, enabling complex shape-shifting and sensing capabilities.

Contribution

The authors develop a novel combinatorial strategy for designing aperiodic mechanical metamaterials that are frustration-free and exhibit programmable, textured functionalities.

Findings

Exhibit long-range holographic order with surface textures dictating interior structure.

Act as programmable shape shifters with predictable deformations.

Perform sensing and pattern analysis through mechanical response.

Abstract

The structural complexity of metamaterials is limitless, although in practice, most designs comprise periodic architectures which lead to materials with spatially homogeneous features. More advanced tasks, arising in e.g. soft robotics, prosthetics and wearable tech, involve spatially textured mechanical functionality which require aperiodic architectures. However, a na\"ive implementation of such structural complexity invariably leads to frustration, which prevents coherent operation and impedes functionality. Here we introduce a combinatorial strategy for the design of aperiodic yet frustration-free mechanical metamaterials, whom we show to exhibit spatially textured functionalities. We implement this strategy using cubic building blocks - voxels - which deform anisotropically, a local stacking rule which allows cooperative shape changes by guaranteeing that deformed building blocks fit as in a 3D jigsaw puzzle, and 3D printing. We show that, first, these aperiodic metamaterials exhibit long-range holographic order, where the 2D pixelated surface texture dictates the 3D interior voxel arrangement. Second, they act as programmable shape shifters, morphing into spatially complex but predictable and designable shapes when uniaxially compressed. Third, their mechanical response to compression by a textured surface reveals their ability to perform sensing and pattern analysis. Combinatorial design thus opens a new avenue towards mechanical metamaterials with unusual order and machine-like functionalities.