Complex ordered patterns in mechanical instability induced geometrically frustrated triangular cellular structures

Sung Hoon Kang, Sicong Shan, Andrej Košmrlj, Wim L. Noorduin, Samuel Shian, James C. Weaver, David R. Clarke, Katia Bertoldi

Research output: Contribution to journalArticlepeer-review

114 Scopus citations

Abstract

Geometrical frustration arises when a local order cannot propagate throughout the space because of geometrical constraints. This phenomenon plays a major role in many systems leading to disordered ground-state configurations. Here, we report a theoretical and experimental study on the behavior of buckling-induced geometrically frustrated triangular cellular structures. To our surprise, we find that buckling induces complex ordered patterns which can be tuned by controlling the porosity of the structures. Our analysis reveals that the connected geometry of the cellular structure plays a crucial role in the generation of ordered states in this frustrated system.

Original languageEnglish (US)
Article number098701
JournalPhysical review letters
Volume112
Issue number9
DOIs
StatePublished - Mar 5 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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