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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, and Katia Bertoldi
Phys. Rev. Lett. 112, 098701 – Published 5 March 2014
Physics logo See Synopsis: Geometrical Frustration Takes a Stretch
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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.

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  • Received 5 December 2013

DOI:https://doi.org/10.1103/PhysRevLett.112.098701

© 2014 American Physical Society

Synopsis

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Geometrical Frustration Takes a Stretch

Published 5 March 2014

A large-scale triangular lattice made of elastic elements reveals how geometrical frustration can result in complex, but ordered, patterns.

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Authors & Affiliations

Sung Hoon Kang1, Sicong Shan1, Andrej Košmrlj2, Wim L. Noorduin1, Samuel Shian1, James C. Weaver3, David R. Clarke1, and Katia Bertoldi1,4,*

  • 1School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA
  • 2Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
  • 3Wyss Institute for Biologically Inspired Engineering, Harvard University, Cambridge, Massachusetts 02138, USA
  • 4Kavli Institute, Harvard University, Cambridge, Massachusetts 02138, USA

  • *Corresponding author. bertoldi@seas.harvard.edu

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Issue

Vol. 112, Iss. 9 — 7 March 2014

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