Curvature screening in draped mechanical metamaterial sheets

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We develop a framework to understand the mechanics of metamaterial sheets on curved surfaces. Here we have constructed a continuum elastic theory of mechanical metamaterials by introducing an auxiliary, scalar gauge-like field that absorbs the strain along the soft mode and projects out the stiff ones. We propose a general form of the elastic energy of a mechanism based metamaterial sheet and specialize to the cases of dilational metamaterials and shear metamaterials conforming to positively and negatively curved substrates in the Föppl-Von Kármán limit of small strains. We perform numerical simulations of these systems and obtain good agreement with our analytical predictions. This work provides a framework that can be easily extended to explore non-linear soft modes in metamaterial elasticity in future.

Original languageEnglish (US)
Pages (from-to)8150-8156
Number of pages7
JournalSoft Matter
Issue number42
StatePublished - Oct 11 2023

ASJC Scopus subject areas

  • General Chemistry
  • Condensed Matter Physics


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