{"data":{"id":"10.6084/m9.figshare.c.3887758.v1","type":"dois","attributes":{"doi":"10.6084/m9.figshare.c.3887758.v1","prefix":"10.6084","suffix":"m9.figshare.c.3887758.v1","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"K. Liu","affiliation":[],"nameIdentifiers":[]},{"name":"G. H. Paulino","affiliation":[],"nameIdentifiers":[]}],"titles":[{"title":"Supplementary material from \"Nonlinear mechanics of non-rigid origami: an efficient computational approach\u003csup\u003e†\u003c/sup\u003e\""}],"publisher":"Figshare","container":{},"publicationYear":2017,"subjects":[{"subject":"Mechanical Engineering"},{"subject":"FOS: Mechanical engineering","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Mechanics"},{"subject":"90506 Structural Engineering","subjectScheme":"FOR"},{"subject":"FOS: Civil engineering","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"}],"contributors":[],"dates":[{"date":"2017-09-25","dateType":"Created"},{"date":"2017-09-25","dateType":"Updated"},{"date":"2017","dateType":"Issued"}],"language":null,"types":{"ris":"GEN","bibtex":"misc","citeproc":"article","schemaOrg":"Collection","resourceType":"Collection","resourceTypeGeneral":"Collection"},"relatedIdentifiers":[{"relationType":"IsSupplementTo","relatedIdentifier":"10.1098/rspa.2017.0348","relatedIdentifierType":"DOI"},{"relationType":"IsPreviousVersionOf","relatedIdentifier":"10.6084/m9.figshare.c.3887758","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":[],"formats":[],"version":null,"rightsList":[{"rights":"CC BY 4.0","rightsUri":"https://creativecommons.org/licenses/by/4.0"}],"descriptions":[{"description":"Origami-inspired designs possess attractive applications to science and engineering (e.g. deployable, self-assembling, adaptable systems). The special geometric arrangement of panels and creases gives rise to unique mechanical properties of origami, such as reconfigurability, which makes origami designs suitable for tunable structures. However, due to the flexibility of thin sheets, additional soft modes exist in actual origami structures, which influence their behaviour. Actual behaviour of origami structures usually involves significant geometric nonlinearity, which amplifies the influence of additional soft modes. To investigate the nonlinear mechanics of origami structures with deformable panels, we present a structural engineering approach for simulating the nonlinear response of non-rigid origami structures. In this paper, we propose a fully nonlinear, displacement-based implicit formulation for constructing static/quasi-static analyses of non-rigid origami structures based on ‘bar-and-hinge’ models. The formulation itself leads to an efficient and robust numerical implementation. Agreement between real models and numerical simulations demonstrates the ability of the proposed approach to capture key features of origami behaviour.","descriptionType":"Abstract"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://figshare.com/collections/Supplementary_material_from_Nonlinear_mechanics_of_non-rigid_origami_an_efficient_computational_approach_sup_sup_/3887758/1","contentUrl":null,"metadataVersion":3,"schemaVersion":"http://datacite.org/schema/kernel-4","source":"api","isActive":true,"state":"findable","reason":null,"viewCount":0,"viewsOverTime":[],"downloadCount":0,"downloadsOverTime":[],"referenceCount":1,"citationCount":0,"citationsOverTime":[],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2017-09-25T07:12:30.000Z","registered":"2017-09-25T07:12:31.000Z","published":"2017","updated":"2024-12-19T08:15:29.000Z"},"relationships":{"client":{"data":{"id":"figshare.ars","type":"clients"}},"provider":{"data":{"id":"otjm","type":"providers"}},"media":{"data":{"id":"10.6084/m9.figshare.c.3887758.v1","type":"media"}},"references":{"data":[{"id":"10.1098/rspa.2017.0348","type":"dois"}]},"citations":{"data":[]},"parts":{"data":[]},"partOf":{"data":[]},"versions":{"data":[]},"versionOf":{"data":[]}}}}