Geometry of Miura-Folded Meta-Materials

Mark Schenk, S. D. Guest

Research output: Contribution to journalArticle (Academic Journal)peer-review

515 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)3276
Number of pages5
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number9
Publication statusPublished - 2013


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