Journal
EXTREME MECHANICS LETTERS
Volume 32, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.eml.2019.100553
Keywords
Metamaterial; Chirality; Continuum mechanics; Size scale
Funding
- Helmholtz program Science and Technology of Nanosystems (STN)
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy via the Excellence Cluster 3D Matter Made to Order [EXC-2082-390761711]
- Carl Zeiss Foundation through the Carl-Zeiss-Focus@HEiKA
- Karlsruhe School of Optics & Photonics (KSOP)
- Fraunhofer Cluster of Excellence Programmable Materials
- State of Baden-Wurttemberg through bwHPC
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The effects of chirality in elastic materials generally disappear in the large-sample limit, with an expected asymptotic scaling proportional to the inverse of the sample side length. Here, we show that the onset of this asymptotic scaling can be pushed towards very large characteristic lengths by proper tailoring of the unit cells of three-dimensional (3D) periodic mechanical metamaterials. By connecting chiral motifs via easily deformable intermediate elements, we suppress compensation effects that otherwise arise when directly connecting chiral motifs. In this manner, large chiral effects persist in 3D microlattices containing more than hundred thousand unit cells. Microstructures comprising that many unit cells will likely become accessible experimentally in the near future by next-generation 3D Additive Manufacturing. To cope with the numerics of such large yet finite systems, we consider architectures that can be approximated by using Timoshenko beam theory. (C) 2019 Elsevier Ltd. All rights reserved.
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