Designing perturbative metamaterials from discrete models

Kathryn H. Matlack, Marc Serra-Garcia, Antonio Palermo, Sebastian D. Huber, Chiara Daraio

Research output: Contribution to journalArticle

Abstract

Identifying material geometries that lead to metamaterials with desired functionalities presents a challenge for the field. Discrete, or reduced-order, models provide a concise description of complex phenomena, such as negative refraction, or topological surface states; therefore, the combination of geometric building blocks to replicate discrete models presenting the desired features represents a promising approach. However, there is no reliable way to solve such an inverse problem. Here, we introduce 'perturbative metamaterials', a class of metamaterials consisting of weakly interacting unit cells. The weak interaction allows us to associate each element of the discrete model with individual geometric features of the metamaterial, thereby enabling a systematic design process. We demonstrate our approach by designing two-dimensional elastic metamaterials that realize Veselago lenses, zero-dispersion bands and topological surface phonons. While our selected examples are within the mechanical domain, the same design principle can be applied to acoustic, thermal and photonic metamaterials composed of weakly interacting unit cells.

Original languageEnglish (US)
Pages (from-to)323-328
Number of pages6
JournalNature Materials
Volume17
Issue number4
DOIs
StatePublished - Apr 1 2018

ASJC Scopus subject areas

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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    Matlack, K. H., Serra-Garcia, M., Palermo, A., Huber, S. D., & Daraio, C. (2018). Designing perturbative metamaterials from discrete models. Nature Materials, 17(4), 323-328. https://doi.org/10.1038/s41563-017-0003-3