Putting a spin on metamaterials: Mechanical incompatibility as magnetic frustration

Abstract

Mechanical metamaterials present a promising platform for seemingly impossible mechanics. They often require incompatibility of their elementary building blocks, yet a comprehensive understanding of its role remains elusive. Relying on an analogy to ferromagnetic and antiferromagnetic binary spin interactions, we present a universal approach to identify and analyze topological mechanical defects for arbitrary building blocks. We underline differences between two- and three-dimensional metamaterials, and show how topological defects can steer stresses and strains in a controlled and non-trivial manner and can inspire the design of materials with hitherto unknown complex mechanical response.

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Cited by in corpus (8)

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• Emergent Nonlocal Combinatorial Design Rules for Multimodal Metamaterials
• Combinatorial Design of Floppy Modes and Frustrated Loops in Metamaterials
• Prospecting for Pluripotency in Metamaterial Design
• Breaking Mechanical Holography in Combinatorial Metamaterials
• Defect Positioning in Combinatorial Metamaterials