title: Complex ordered patterns in mechanical instability induced geometrically frustrated triangular cellular structures.
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.
authors.affiliation: School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: Sung Hoon
authors.initials: SH
authors.lastname: Kang
authors.affiliation: School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: Sicong
authors.initials: S
authors.lastname: Shan
authors.affiliation: Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: Andrej
authors.initials: A
authors.lastname: Košmrlj
authors.affiliation: School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: Wim L
authors.initials: WL
authors.lastname: Noorduin
authors.affiliation: School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: Samuel
authors.initials: S
authors.lastname: Shian
authors.affiliation: Wyss Institute for Biologically Inspired Engineering, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: James C
authors.initials: JC
authors.lastname: Weaver
authors.affiliation: School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: David R
authors.initials: DR
authors.lastname: Clarke
authors.affiliation: School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA and Kavli Institute, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: Katia
authors.initials: K
authors.lastname: Bertoldi
mesh_terms: D048430:Cell Shape; D004548:Elasticity; D008962:Models, Theoretical; D008968:Molecular Conformation