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Big influence of small random imperfections in origami-based metamaterials

Liu, Ke and Novelino, Larissa S. and Gardoni, Paolo and Paulino, Glaucio H. (2020) Big influence of small random imperfections in origami-based metamaterials. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 476 (2241). Art. No. 20200236. ISSN 1364-5021. doi:10.1098/rspa.2020.0236.

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Origami structures demonstrate great theoretical potential for creating metamaterials with exotic properties. However, there is a lack of understanding of how imperfections influence the mechanical behaviour of origami-based metamaterials, which, in practice, are inevitable. For conventional materials, imperfection plays a profound role in shaping their behaviour. Thus, this paper investigates the influence of small random geometric imperfections on the nonlinear compressive response of the representative Miura-ori, which serves as the basic pattern for many metamaterial designs. Experiments and numerical simulations are used to demonstrate quantitatively how geometric imperfections hinder the foldability of the Miura-ori, but on the other hand, increase its compressive stiffness. This leads to the discovery that the residual of an origami foldability constraint, given by the Kawasaki theorem, correlates with the increase of stiffness of imperfect origami-based metamaterials. This observation might be generalizable to other flat-foldable patterns, in which we address deviations from the zero residual of the perfect pattern; and to non-flat-foldable patterns, in which we would address deviations from a finite residual.

Item Type:Article
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Paulino, Glaucio H.0000-0002-3493-6857
Additional Information:© 2020 The Author(s). Published by the Royal Society. Manuscript received 03/04/2020; Manuscript accepted 12/06/2020; Published online 16/09/2020; Published in print 30/09/2020. We thank the CEE machine shop at Georgia Tech for fabricating the mechanical testing bed. We appreciate the useful comments provided by Dr Americo Cunha from Rio de Janeiro State University. We thank Dr Diego Misseroni for his invaluable help on the cover image. Data accessibility: All data used to generate these results are available in the main text. Further details could be obtained from the corresponding authors upon request. Authors' contributions: K.L., P.G. and G.H.P. designed the research. K.L. and L.S.N. performed the experiments and simulations, conceived the mathematical models, interpreted results and analysed data. P.G. and G.H.P. provided guidance throughout the research. All the authors participated in manuscript writing and approved the manuscript for publication. The authors declare no competing interest. This work was support by the US National Science Foundation (NSF) through grant no. 1538830, the China Scholarship Council (CSC), the Brazilian National Council for Scientific and Technological Development (CNPq), and the Raymond Allen Jones Chair at Georgia Tech.
Funding AgencyGrant Number
China Scholarship CouncilUNSPECIFIED
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)UNSPECIFIED
Georgia Institute of TechnologyUNSPECIFIED
Subject Keywords:mechanical metamaterials, origami, imperfections, origami-based metamaterial
Issue or Number:2241
Record Number:CaltechAUTHORS:20200921-112008238
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Official Citation:Liu K, Novelino LS, Gardoni P, Paulino GH. 2020 Big influence of small random imperfections in origami-based metamaterials. Proc. R. Soc. A 476: 20200236.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105458
Deposited By: Tony Diaz
Deposited On:21 Sep 2020 18:49
Last Modified:16 Nov 2021 18:43

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