title: Geometry of Miura-folded metamaterials.
abstract: This paper describes two folded metamaterials based on the Miura-ori fold pattern. The structural mechanics of these metamaterials are dominated by the kinematics of the folding, which only depends on the geometry and therefore is scale-independent. First, a folded shell structure is introduced, where the fold pattern provides a negative Poisson's ratio for in-plane deformations and a positive Poisson's ratio for out-of-plane bending. Second, a cellular metamaterial is described based on a stacking of individual folded layers, where the folding kinematics are compatible between layers. Additional freedom in the design of the metamaterial can be achieved by varying the fold pattern within each layer.
authors: Department of Engineering, University of Cambridge, Cambridge CB2 1PZ,  United Kingdom.
authors: Mark
authors: M
authors: Schenk
authors: Simon D
authors: SD
authors: Guest
references: Science. 2005 Mar 18;307(5716):1740
references: 15774751
references: Science. 1987 Feb 27;235(4792):1038-40
references: 17782252
references: Philos Trans A Math Phys Eng Sci. 2012 Apr 28;370(1965):2010-26
references: 22431767