{"id":"https://openalex.org/W2804495069","doi":"https://doi.org/10.1007/978-3-030-16423-2_18","title":"Auxetic Regions in Large Deformations of Periodic Frameworks","display_name":"Auxetic Regions in Large Deformations of Periodic Frameworks","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2804495069","doi":"https://doi.org/10.1007/978-3-030-16423-2_18","mag":"2804495069"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-16423-2_18","doi":"https://doi.org/10.1007/978-3-030-16423-2_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-16423-2_18","pdf_url":null,"source":{"id":"https://openalex.org/S4210194614","display_name":"Mechanisms and machine science","issn_l":"2211-0984","issn":["2211-0984","2211-0992"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320108","host_organization_name":"Springer Nature (Netherlands)","host_organization_lineage":["https://openalex.org/P4310320108","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature (Netherlands)","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mechanisms and Machine Science","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4243491595","display_name":"Interdisciplinary Applications of Kinematics"},"type":"book-chapter","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1805.10687","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055947023","display_name":"Ciprian S. Borcea","orcid":"https://orcid.org/0000-0002-6207-9127","observed_orcids":["https://orcid.org/0000-0002-6207-9127"]},"institutions":[{"id":"https://openalex.org/I186776151","display_name":"Rider University","ror":"https://ror.org/01dgn5344","country_code":"US","type":"education","lineage":["https://openalex.org/I186776151"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ciprian S. Borcea","raw_affiliation_strings":["Department of Mathematics, Rider University, Lawrenceville, NJ, 08648, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rider University, Lawrenceville, NJ, 08648, USA","institution_ids":["https://openalex.org/I186776151"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008565320","display_name":"Ileana Streinu","orcid":"https://orcid.org/0000-0003-2663-2615","observed_orcids":["https://orcid.org/0000-0003-2663-2615"]},"institutions":[{"id":"https://openalex.org/I202524275","display_name":"Smith College","ror":"https://ror.org/0497crr92","country_code":"US","type":"education","lineage":["https://openalex.org/I202524275"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ileana Streinu","raw_affiliation_strings":["Department of Computer Science, Smith College, Northampton, MA, 01063, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Smith College, Northampton, MA, 01063, USA","institution_ids":["https://openalex.org/I202524275"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008565320","https://openalex.org/A5055947023"],"corresponding_institution_ids":["https://openalex.org/I186776151","https://openalex.org/I202524275"],"apc_list":null,"apc_paid":null,"fwci":1.7899,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.82175066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"197","last_page":"204"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10707","display_name":"Cellular and Composite Structures","score":0.4253000020980835,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10707","display_name":"Cellular and Composite Structures","score":0.4253000020980835,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11870","display_name":"Structural Analysis and Optimization","score":0.2054000049829483,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11737","display_name":"Advanced Materials and Mechanics","score":0.18359999358654022,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/auxetic-behavior","display_name":"auxetic behavior","score":0.8799999952316284},{"id":"https://openalex.org/keywords/large-deformation","display_name":"large deformation","score":0.9160000085830688},{"id":"https://openalex.org/keywords/deformation-space","display_name":"deformation space","score":0.6340000033378601},{"id":"https://openalex.org/keywords/geometric-description","display_name":"geometric description","score":0.35100001096725464}],"concepts":[{"id":"https://openalex.org/C64904818","wikidata":"https://www.wikidata.org/wiki/Q789683","display_name":"Auxetics","level":2,"score":0.9669857025146484},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.7256649732589722},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.6796616315841675},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.6370620727539062},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5550901889801025},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4659852385520935},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4489981234073639},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.421690434217453},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29681605100631714},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.2852422595024109},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.25597596168518066},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25139403343200684},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1809731125831604},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16995754837989807},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15189015865325928},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.10933810472488403},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.10727652907371521},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.08815011382102966},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.07509469985961914}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/978-3-030-16423-2_18","doi":"https://doi.org/10.1007/978-3-030-16423-2_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-16423-2_18","pdf_url":null,"source":{"id":"https://openalex.org/S4210194614","display_name":"Mechanisms and machine science","issn_l":"2211-0984","issn":["2211-0984","2211-0992"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320108","host_organization_name":"Springer Nature (Netherlands)","host_organization_lineage":["https://openalex.org/P4310320108","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature (Netherlands)","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mechanisms and Machine Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:1805.10687","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.10687","pdf_url":"https://arxiv.org/pdf/1805.10687","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:scholarworks.smith.edu:csc_facpubs-1232","doi":null,"is_oa":false,"landing_page_url":"https://scholarworks.smith.edu/csc_facpubs/231","pdf_url":null,"source":{"id":"https://openalex.org/S4377196392","display_name":"Smith ScholarWorks (Smith College)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I202524275","host_organization_name":"Smith College","host_organization_lineage":["https://openalex.org/I202524275"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Science: Faculty Publications","raw_type":"text"},{"id":"pmh:oai:scholarworks.smith.edu:csc_facpubs-1284","doi":null,"is_oa":false,"landing_page_url":"https://scholarworks.smith.edu/csc_facpubs/283","pdf_url":null,"source":{"id":"https://openalex.org/S4377196392","display_name":"Smith ScholarWorks (Smith College)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I202524275","host_organization_name":"Smith College","host_organization_lineage":["https://openalex.org/I202524275"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Science: Faculty Publications","raw_type":"text"},{"id":"doi:10.48550/arxiv.1805.10687","doi":"https://doi.org/10.48550/arxiv.1805.10687","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1805.10687","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1805.10687","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.10687","pdf_url":"https://arxiv.org/pdf/1805.10687","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1685336819","display_name":"AF:Medium:Collaborative:RUI:Structure in Motion:Algorithms for Kinematic Design","funder_award_id":"1704285","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5641341251","display_name":"AF: Small: Collaborative:RUI:  Mathematical foundations of reconfiguration algorithms for geometrically constraint structures","funder_award_id":"1319389","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6962459910","display_name":"AF: Small: Collaborative:RUI: Mathematical foundations of reconfiguration algorithms for geometrically constraint structures","funder_award_id":"1319366","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7430259102","display_name":"AF:Medium:Collaborative:RUI:Structure in Motion:Algorithms for Kinematic Design","funder_award_id":"1703765","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8816403436","display_name":"Rigidity and flexibility of large bio-molecular assemblies","funder_award_id":"R01GM109456","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337354","display_name":"National Institute of General Medical Sciences","ror":"https://ror.org/04q48ey07"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W567987806","https://openalex.org/W1780182338","https://openalex.org/W1833149396","https://openalex.org/W1969962394","https://openalex.org/W1976962893","https://openalex.org/W2014550273","https://openalex.org/W2060579930","https://openalex.org/W2097680729","https://openalex.org/W2142437554","https://openalex.org/W2170066676","https://openalex.org/W2271765275","https://openalex.org/W2400011355","https://openalex.org/W2471681151","https://openalex.org/W2492174569","https://openalex.org/W2571028171","https://openalex.org/W2574398678","https://openalex.org/W2596604653","https://openalex.org/W2606144844","https://openalex.org/W2747295185","https://openalex.org/W2758946898","https://openalex.org/W2765802355","https://openalex.org/W2912833207","https://openalex.org/W3037144901","https://openalex.org/W3037902555","https://openalex.org/W4252383154"],"related_works":["https://openalex.org/W3081066848","https://openalex.org/W3196924688","https://openalex.org/W3189817387","https://openalex.org/W2889453089","https://openalex.org/W2952733314","https://openalex.org/W3037144901","https://openalex.org/W2747295185","https://openalex.org/W2559970456","https://openalex.org/W3201051379","https://openalex.org/W1975771611"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-11-01T11:40:01.658920","created_date":"2018-06-01T00:00:00"}