{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T14:39:44Z","timestamp":1787236784806,"version":"build-2736575974"},"reference-count":20,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"DOI":"10.13039\/100000002","name":"National Institutes of Health","doi-asserted-by":"publisher","award":["1R01GM109456"],"award-info":[{"award-number":["1R01GM109456"]}],"id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1319366"],"award-info":[{"award-number":["1319366"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1319389"],"award-info":[{"award-number":["1319389"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Algebra Geometry"],"published-print":{"date-parts":[[2017,1]]},"abstract":"<jats:p>We show that, for any given dimension $d\\geq 2$, the range of distinct possible designs for periodic frameworks with auxetic capabilities is infinite. We rely on a purely geometric approach to auxetic trajectories developed within our general theory of deformations of periodic frameworks.<\/jats:p>","DOI":"10.1137\/16m1088259","type":"journal-article","created":{"date-parts":[[2017,8,3]],"date-time":"2017-08-03T13:23:55Z","timestamp":1501766635000},"page":"442-458","source":"Crossref","is-referenced-by-count":7,"title":["New Principles for Auxetic Periodic Design"],"prefix":"10.1137","volume":"1","author":[{"given":"Ciprian S.","family":"Borcea","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ileana","family":"Streinu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2017,8,3]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1002\/adma.200901956"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2009.0676"},{"key":"atypb3","first-page":"395","author":"Borcea C. S.","year":"2014","journal-title":"New York"},{"key":"atypb4","doi-asserted-by":"crossref","unstructured":"C. S. Borcea and I. Streinu,\n                      Expansive periodic mechanisms\n                      , in IMA Conference on Mathematics of Robotics, 2015; preprint,https:\/\/arxiv.org\/abs\/1507.03132, 2015.","DOI":"10.19124\/ima.2015.001.05"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-015-9689-7"},{"key":"atypb6","first-page":"20150033","volume":"471","author":"Borcea C. S.","year":"2015","journal-title":"Proc. A"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2014.0538"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1088\/0964-1726\/21\/10\/105004"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1038\/353124a0"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1098\/rsnr.2012.0021"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1038\/nmat3134"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1002\/pssb.200460376"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1126\/science.235.4792.1038"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1002\/adma.201201644"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5096(92)90063-8"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2012.0465"},{"key":"atypb17","first-page":"1","author":"Mitschke H.","year":"2016","journal-title":"Internat. J. Solids Structures, 100--101 ("},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1016\/j.eml.2015.09.004"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2013.0063"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmps.2014.05.003"}],"container-title":["SIAM Journal on Applied Algebra and Geometry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/16M1088259","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T14:03:25Z","timestamp":1787234605000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/16M1088259"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,1]]}},"alternative-id":["10.1137\/16M1088259"],"URL":"https:\/\/doi.org\/10.1137\/16m1088259","relation":{},"ISSN":["2470-6566"],"issn-type":[{"value":"2470-6566","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1]]}}}