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      Rigidly flat-foldable class of lockable origami-inspired metamaterials with topological stiff states

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          Abstract

          Origami crease patterns have inspired the design of reconfigurable materials that can transform their shape and properties through folding. Unfortunately, most designs cannot provide load-bearing capacity, and those that can, do so in certain directions but collapse along the direction of deployment, limiting their use as structural materials. Here, we merge notions of kirigami and origami to introduce a rigidly foldable class of cellular metamaterials that can flat-fold and lock into several states that are stiff across multiple directions, including the deployment direction. Our metamaterials rigidly fold with one degree of freedom and can reconfigure into several flat-foldable and spatially-lockable folding paths due to face contact. Locking under compression yields topology and symmetry changes that impart multidirectional stiffness. Additionally, folding paths and mixed-mode configurations can be activated in situ to modulate their properties. Their load-bearing capacity, flat-foldability, and reprogrammability can be harnessed for deployable structures, reconfigurable robots, and low-volume packaging.

          Abstract

          While origami-inspired metamaterials can spatially fold, they usually collapse along the deployment direction limiting applicability. Here authors introduce a cellular structure that can be reprogrammed in-situ to not only deploy and rigidly flat-fold but also lock and offer rigidity across all directions.

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          Most cited references42

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          Origami structures with a critical transition to bistability arising from hidden degrees of freedom.

          Origami is used beyond purely aesthetic pursuits to design responsive and customizable mechanical metamaterials. However, a generalized physical understanding of origami remains elusive, owing to the challenge of determining whether local kinematic constraints are globally compatible and to an incomplete understanding of how the folded sheet's material properties contribute to the overall mechanical response. Here, we show that the traditional square twist, whose crease pattern has zero degrees of freedom (DOF) and therefore should not be foldable, can nevertheless be folded by accessing bending deformations that are not explicit in the crease pattern. These hidden bending DOF are separated from the crease DOF by an energy gap that gives rise to a geometrically driven critical bifurcation between mono- and bistability. Noting its potential utility for fabricating mechanical switches, we use a temperature-responsive polymer-gel version of the square twist to demonstrate hysteretic folding dynamics at the sub-millimetre scale.
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            Reentrant Origami-Based Metamaterials with Negative Poisson's Ratio and Bistability.

            We investigate the unique mechanical properties of reentrant 3D origami structures based on the Tachi-Miura polyhedron (TMP). We explore the potential usage as mechanical metamaterials that exhibit tunable negative Poisson's ratio and structural bistability simultaneously. We show analytically and experimentally that the Poisson's ratio changes from positive to negative and vice versa during its folding motion. In addition, we verify the bistable mechanism of the reentrant 3D TMP under rigid origami configurations without relying on the buckling motions of planar origami surfaces. This study forms a foundation in designing and constructing TMP-based metamaterials in the form of bellowslike structures for engineering applications.
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              Applied origami. Using origami design principles to fold reprogrammable mechanical metamaterials.

              Although broadly admired for its aesthetic qualities, the art of origami is now being recognized also as a framework for mechanical metamaterial design. Working with the Miura-ori tessellation, we find that each unit cell of this crease pattern is mechanically bistable, and by switching between states, the compressive modulus of the overall structure can be rationally and reversibly tuned. By virtue of their interactions, these mechanically stable lattice defects also lead to emergent crystallographic structures such as vacancies, dislocations, and grain boundaries. Each of these structures comes from an arrangement of reversible folds, highlighting a connection between mechanical metamaterials and programmable matter. Given origami's scale-free geometric character, this framework for metamaterial design can be directly transferred to milli-, micro-, and nanometer-size systems.
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                Author and article information

                Contributors
                damiano.pasini@mcgill.ca
                Journal
                Nat Commun
                Nat Commun
                Nature Communications
                Nature Publishing Group UK (London )
                2041-1723
                5 April 2022
                5 April 2022
                2022
                : 13
                : 1816
                Affiliations
                [1 ]GRID grid.14709.3b, ISNI 0000 0004 1936 8649, Department of Mechanical Engineering, , McGill University, ; Montreal, QC Canada
                [2 ]GRID grid.14709.3b, ISNI 0000 0004 1936 8649, Department of Bioresource Engineering, , McGill University, ; Montreal, QC Canada
                Author information
                http://orcid.org/0000-0003-3948-2783
                http://orcid.org/0000-0003-0097-0341
                http://orcid.org/0000-0002-3021-7118
                Article
                29484
                10.1038/s41467-022-29484-1
                8983707
                35383167
                389e58f1-31f9-4f06-9557-2ec252bbdb73
                © The Author(s) 2022

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 10 October 2021
                : 9 March 2022
                Funding
                Funded by: FundRef https://doi.org/10.13039/100008583, Faculty of Engineering, McGill University (Faculty of Engineering, McGill);
                Funded by: FundRef https://doi.org/10.13039/501100003151, Fonds de Recherche du Québec - Nature et Technologies (Quebec Fund for Research in Nature and Technology);
                Funded by: FundRef https://doi.org/10.13039/501100000038, Gouvernement du Canada | Natural Sciences and Engineering Research Council of Canada (Conseil de Recherches en Sciences Naturelles et en Génie du Canada);
                Funded by: FundRef https://doi.org/10.13039/501100001804, Canada Research Chairs (Chaires de recherche du Canada);
                Categories
                Article
                Custom metadata
                © The Author(s) 2022

                Uncategorized
                mechanical engineering,mechanical properties,structural materials
                Uncategorized
                mechanical engineering, mechanical properties, structural materials

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