Ben Pisanty, Erdal C. Oguz, Cristiano Nisoli, Yair Shokef
SciPost Phys. 10, 136 (2021) ·
published 8 June 2021
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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.