{"title":"将扭结和折痕整合在一起可实现元带的可调折叠","authors":"","doi":"10.1016/j.matt.2024.04.031","DOIUrl":null,"url":null,"abstract":"<div><p>Foldable structures find diverse applications. Folding of thin structures into compact shapes involves the interplay of nonlinear mechanics and topology. In this study, we employ discrete models, theoretical analysis, and tabletop experiments to systematically investigate the geometrically nonlinear folding process of ring-shape elastic ribbons through in-plane kinks and out-of-plane creases. We find that kinks initiate continuous folding through supercritical bifurcation, while creases trigger abrupt snapping via subcritical bifurcation. Master curves that summarize energy landscapes for ribbons with varying numbers of kinks and creases are obtained. By integrating kinks and creases, a “meta-ribbon” can be created, which shows the tunable folding behavior, transitioning from continuous to snapping, or vice versa, by strategically engineering the in-plane and out-of-plane angles guided by the constructed energy map. As a product of folding, we demonstrate the snapping-induced vibration accomplished with dynamic folding, as well as the multistability of meta-ribbons with saddle-like configurations and their transformation.</p></div>","PeriodicalId":388,"journal":{"name":"Matter","volume":null,"pages":null},"PeriodicalIF":17.3000,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2590238524002042/pdfft?md5=2f6f2b623141b4ac4d06b2915e062d5b&pid=1-s2.0-S2590238524002042-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Integration of kinks and creases enables tunable folding in meta-ribbons\",\"authors\":\"\",\"doi\":\"10.1016/j.matt.2024.04.031\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Foldable structures find diverse applications. Folding of thin structures into compact shapes involves the interplay of nonlinear mechanics and topology. In this study, we employ discrete models, theoretical analysis, and tabletop experiments to systematically investigate the geometrically nonlinear folding process of ring-shape elastic ribbons through in-plane kinks and out-of-plane creases. We find that kinks initiate continuous folding through supercritical bifurcation, while creases trigger abrupt snapping via subcritical bifurcation. Master curves that summarize energy landscapes for ribbons with varying numbers of kinks and creases are obtained. By integrating kinks and creases, a “meta-ribbon” can be created, which shows the tunable folding behavior, transitioning from continuous to snapping, or vice versa, by strategically engineering the in-plane and out-of-plane angles guided by the constructed energy map. As a product of folding, we demonstrate the snapping-induced vibration accomplished with dynamic folding, as well as the multistability of meta-ribbons with saddle-like configurations and their transformation.</p></div>\",\"PeriodicalId\":388,\"journal\":{\"name\":\"Matter\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":17.3000,\"publicationDate\":\"2024-09-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2590238524002042/pdfft?md5=2f6f2b623141b4ac4d06b2915e062d5b&pid=1-s2.0-S2590238524002042-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Matter\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2590238524002042\",\"RegionNum\":1,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Matter","FirstCategoryId":"88","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2590238524002042","RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Integration of kinks and creases enables tunable folding in meta-ribbons
Foldable structures find diverse applications. Folding of thin structures into compact shapes involves the interplay of nonlinear mechanics and topology. In this study, we employ discrete models, theoretical analysis, and tabletop experiments to systematically investigate the geometrically nonlinear folding process of ring-shape elastic ribbons through in-plane kinks and out-of-plane creases. We find that kinks initiate continuous folding through supercritical bifurcation, while creases trigger abrupt snapping via subcritical bifurcation. Master curves that summarize energy landscapes for ribbons with varying numbers of kinks and creases are obtained. By integrating kinks and creases, a “meta-ribbon” can be created, which shows the tunable folding behavior, transitioning from continuous to snapping, or vice versa, by strategically engineering the in-plane and out-of-plane angles guided by the constructed energy map. As a product of folding, we demonstrate the snapping-induced vibration accomplished with dynamic folding, as well as the multistability of meta-ribbons with saddle-like configurations and their transformation.
期刊介绍:
Matter, a monthly journal affiliated with Cell, spans the broad field of materials science from nano to macro levels,covering fundamentals to applications. Embracing groundbreaking technologies,it includes full-length research articles,reviews, perspectives,previews, opinions, personnel stories, and general editorial content.
Matter aims to be the primary resource for researchers in academia and industry, inspiring the next generation of materials scientists.