Multistable Topological Mechanical Metamaterials

TL;DR

This paper introduces a Maxwell lattice with bistable units that enables reversible topological phase transitions, leading to switchable mechanical properties and broad applications in reprogrammable metamaterials and wave control.

Contribution

The authors develop a bistable Maxwell lattice that allows synchronized topological phase transitions, experimentally demonstrating reversible topological states with distinct mechanical properties.

Findings

Reversible topological phase transitions achieved in Maxwell lattices.

Significant change in stiffness between topological phases.

Potential applications in reprogrammable and neuromorphic metamaterials.

Abstract

Concepts from quantum topological states of matter have been extensively utilized in the past decade in creating mechanical metamaterials with topologically protected features, such as one-way edge states and topologically polarized elasticity. Maxwell lattices represent a class of topological mechanical metamaterials that exhibit distinct robust mechanical properties at edges/interfaces when they are topologically polarized. Realizing topological phase transitions in these materials would enable on-and-off switching of these edge states, opening unprecedented opportunities to program mechanical response and wave propagation. However, such transitions are extremely challenging to experimentally control in Maxwell topological metamaterials due to mechanical and geometric constraints. Here we create a Maxwell lattice with bistable units to implement synchronized transitions between topological states and demonstrate dramatically different stiffnesses as the lattice transforms between topological phases both theoretically and experimentally. By combining multistability with topological phase transitions, for the first time, this metamaterial not only exhibits topologically protected mechanical properties that swiftly and reversibly change, but also offers a rich design space for innovating mechanical computing architectures and reprogrammable neuromorphic metamaterials. Moreover, we design and fabricate a topological Maxwell lattice using multi-material 3D printing and demonstrate the potential for miniaturization via additive manufacturing. These design principles are applicable to transformable topological metamaterials for a variety of tasks such as switchable energy absorption, impact mitigation, wave tailoring, neuromorphic metamaterials, and controlled morphing systems.