k-cones and kirigami metamaterials

Keith A. Seffen
Phys. Rev. E 94, 033003 – Published 19 September 2016

Abstract

We are inspired by the tensile buckling of a thin sheet with a slit to create a foldable planar metamaterial. The buckled shape comprises two pairs of identical e-cones connected to the slit, which we refer to as a k-cone. We approximate this shape as discrete vertices that can be folded out of plane as the slit is pulled apart. We determine their kinematics and we calculate generic shape properties using a simple elastic model of the folded shape. We then show how the folded sheet may be tessellated as a unit cell within a larger sheet, which may be constructed a priori by cutting and folding the latter in a regular way, in order to form a planar kirigami structure with a single degree of freedom.

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  • Received 9 May 2016
  • Revised 20 July 2016

DOI:https://doi.org/10.1103/PhysRevE.94.033003

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsGeneral Physics

Authors & Affiliations

Keith A. Seffen

  • Advanced Structures Group Laboratory, Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, United Kingdom

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Vol. 94, Iss. 3 — September 2016

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