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Here, we present reduced-order analytical models describing the prestrain-induced bistable effect of two particular tensegrity units. Closed-form expressions of the critical prestrain at which a unit transitions into a bistable regime are derived. Such expressions depend only on the geometry of the units. The predictions of the reduced-order model are verified by numerical simulations and by the realization of physical models. The present results can be generalized to analogous units with polygonal base, and the proposed tensegrity units can be assembled together to form one-dimensional metamaterials with tailorable nonlinear features such as multistability and solitary wave propagation.<\/jats:p>","DOI":"10.1063\/5.0160023","type":"journal-article","created":{"date-parts":[[2023,9,19]],"date-time":"2023-09-19T13:31:51Z","timestamp":1695130311000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":17,"title":["Prestrain-induced bistability in the design of tensegrity units for mechanical metamaterials"],"prefix":"10.1063","volume":"123","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7842-5912","authenticated-orcid":false,"given":"Andrea","family":"Micheletti","sequence":"first","affiliation":[{"name":"Department of Civil and Computer Science Engineering, University of Rome Tor Vergata 1 , via Politecnico 1, 00133 Rome, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5815-4622","authenticated-orcid":false,"given":"Filipe A.","family":"dos Santos","sequence":"additional","affiliation":[{"name":"CERIS-NOVA, Department of Civil Engineering, NOVA School of Science and Technology, NOVA University of Lisbon 2 , Quinta da Torre, 2829-516 Caparica, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0152-6579","authenticated-orcid":false,"given":"Simon D.","family":"Guest","sequence":"additional","affiliation":[{"name":"Department of Engineering, University of Cambridge 3 , Trumpington Street, Cambridge CB2 1PZ, United Kingdom"}]}],"member":"317","published-online":{"date-parts":[[2023,9,19]]},"reference":[{"key":"2023121216162807100_c1","doi-asserted-by":"publisher","first-page":"051109","DOI":"10.1063\/5.0003655","article-title":"Hierarchical metastructures with programmable stiffness and zero Poisson's ratio","volume":"8","year":"2020","journal-title":"APL Mater."},{"key":"2023121216162807100_c2","doi-asserted-by":"publisher","first-page":"020904","DOI":"10.1063\/5.0026817","article-title":"Digital strategies for structured and architected materials design","volume":"9","year":"2021","journal-title":"APL Mater."},{"key":"2023121216162807100_c3","doi-asserted-by":"publisher","first-page":"4296","DOI":"10.1002\/adma.201501708","article-title":"Multistable architected materials for trapping elastic strain energy","volume":"27","year":"2015","journal-title":"Adv. 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