{"id":"https://openalex.org/W2120802133","doi":"https://doi.org/10.1098/rspa.2013.0856","title":"Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state","display_name":"Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state","publication_year":2014,"publication_date":"2014-05-15","ids":{"openalex":"https://openalex.org/W2120802133","doi":"https://doi.org/10.1098/rspa.2013.0856","mag":"2120802133","pmid":"https://pubmed.ncbi.nlm.nih.gov/25002823","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/4032554"},"language":"en","primary_location":{"id":"doi:10.1098/rspa.2013.0856","doi":"https://doi.org/10.1098/rspa.2013.0856","is_oa":true,"landing_page_url":"https://doi.org/10.1098/rspa.2013.0856","pdf_url":null,"source":{"id":"https://openalex.org/S3006183880","display_name":"Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences","issn_l":"1364-5021","issn":["1364-5021","1471-2946"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319787","host_organization_name":"Royal Society","host_organization_lineage":["https://openalex.org/P4310319787"],"host_organization_lineage_names":["Royal Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1098/rspa.2013.0856","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038618040","display_name":"Babak Haghpanah","orcid":"https://orcid.org/0000-0003-4982-5364","observed_orcids":["https://orcid.org/0000-0003-4982-5364"]},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Babak Haghpanah","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035054266","display_name":"Jim Papadopoulos","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jim Papadopoulos","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085031543","display_name":"Davood Mousanezhad","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Davood Mousanezhad","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050138943","display_name":"Hamid Nayeb\u2010Hashemi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hamid Nayeb-Hashemi","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112022996","display_name":"Ashkan Vaziri","orcid":"https://orcid.org/0009-0009-2151-8267","observed_orcids":["https://orcid.org/0009-0009-2151-8267"]},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ashkan Vaziri","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112022996"],"corresponding_institution_ids":["https://openalex.org/I12912129"],"apc_list":null,"apc_paid":null,"fwci":9.089,"has_fulltext":false,"cited_by_count":103,"citation_normalized_percentile":{"value":0.9809018,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"470","issue":"2167","first_page":"20130856","last_page":"20130856"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10707","display_name":"Cellular and Composite Structures","score":0.9550999999046326,"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":0.9550999999046326,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.02630000002682209,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10713","display_name":"Structural Load-Bearing Analysis","score":0.0031999999191612005,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/buckling-strength","display_name":"buckling resistance","score":0.7429999709129333},{"id":"https://openalex.org/keywords/honeycomb","display_name":"honeycomb","score":0.9729999899864197},{"id":"https://openalex.org/keywords/hierarchical-honeycombs","display_name":"hierarchical honeycombs","score":0.9769999980926514},{"id":"https://openalex.org/keywords/closed-form-expressions","display_name":"closed-form expressions","score":0.6909999847412109},{"id":"https://openalex.org/keywords/eigenvalue-analysis","display_name":"eigenvalue analysis","score":0.7549999952316284}],"concepts":[{"id":"https://openalex.org/C85476182","wikidata":"https://www.wikidata.org/wiki/Q693104","display_name":"Buckling","level":2,"score":0.9076749086380005},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6796834468841553},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5880791544914246},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.5631619095802307},{"id":"https://openalex.org/C128765274","wikidata":"https://www.wikidata.org/wiki/Q663314","display_name":"Hexagonal crystal system","level":2,"score":0.5593957901000977},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.5417043566703796},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.5190309286117554},{"id":"https://openalex.org/C145665481","wikidata":"https://www.wikidata.org/wiki/Q123339","display_name":"Honeycomb","level":2,"score":0.49237048625946045},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4707287549972534},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4668562710285187},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.4537026584148407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39525091648101807},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32311201095581055},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21152642369270325},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.20750579237937927},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.147354394197464},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11785954236984253},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1098/rspa.2013.0856","doi":"https://doi.org/10.1098/rspa.2013.0856","is_oa":true,"landing_page_url":"https://doi.org/10.1098/rspa.2013.0856","pdf_url":null,"source":{"id":"https://openalex.org/S3006183880","display_name":"Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences","issn_l":"1364-5021","issn":["1364-5021","1471-2946"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319787","host_organization_name":"Royal Society","host_organization_lineage":["https://openalex.org/P4310319787"],"host_organization_lineage_names":["Royal Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","raw_type":"journal-article"},{"id":"pmh:oai:europepmc.org:3058046","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4032554","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:4032554","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4032554","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proc Math Phys Eng Sci","raw_type":"Text"},{"id":"pmid:25002823","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/25002823","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. Mathematical, physical, and engineering sciences","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1098/rspa.2013.0856","doi":"https://doi.org/10.1098/rspa.2013.0856","is_oa":true,"landing_page_url":"https://doi.org/10.1098/rspa.2013.0856","pdf_url":null,"source":{"id":"https://openalex.org/S3006183880","display_name":"Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences","issn_l":"1364-5021","issn":["1364-5021","1471-2946"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319787","host_organization_name":"Royal Society","host_organization_lineage":["https://openalex.org/P4310319787"],"host_organization_lineage_names":["Royal Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W197575243","https://openalex.org/W1491891466","https://openalex.org/W1520891405","https://openalex.org/W1625594280","https://openalex.org/W1966016720","https://openalex.org/W1969771581","https://openalex.org/W1969797145","https://openalex.org/W1974595916","https://openalex.org/W1974766790","https://openalex.org/W1988506100","https://openalex.org/W1992506546","https://openalex.org/W1999464225","https://openalex.org/W2004047007","https://openalex.org/W2004777295","https://openalex.org/W2006022456","https://openalex.org/W2007494032","https://openalex.org/W2007620231","https://openalex.org/W2008677227","https://openalex.org/W2016906600","https://openalex.org/W2018392480","https://openalex.org/W2018436144","https://openalex.org/W2021267625","https://openalex.org/W2021655719","https://openalex.org/W2021965384","https://openalex.org/W2027456736","https://openalex.org/W2028401395","https://openalex.org/W2030688138","https://openalex.org/W2032718866","https://openalex.org/W2034617167","https://openalex.org/W2035274406","https://openalex.org/W2043833889","https://openalex.org/W2046338963","https://openalex.org/W2050103973","https://openalex.org/W2057392698","https://openalex.org/W2057589850","https://openalex.org/W2060902130","https://openalex.org/W2067068202","https://openalex.org/W2071341429","https://openalex.org/W2072630896","https://openalex.org/W2074529919","https://openalex.org/W2076380814","https://openalex.org/W2079672217","https://openalex.org/W2080123444","https://openalex.org/W2083253108","https://openalex.org/W2084422401","https://openalex.org/W2086504700","https://openalex.org/W2090114466","https://openalex.org/W2092767579","https://openalex.org/W2097547598","https://openalex.org/W2118477912","https://openalex.org/W2131038767","https://openalex.org/W2148753202","https://openalex.org/W2156144289","https://openalex.org/W2158673433","https://openalex.org/W2163915318","https://openalex.org/W2167541649","https://openalex.org/W2734669961","https://openalex.org/W2749749390","https://openalex.org/W3145834777"],"related_works":["https://openalex.org/W7221391165","https://openalex.org/W4243347351","https://openalex.org/W2732807627","https://openalex.org/W2030688138","https://openalex.org/W2026890988","https://openalex.org/W2785026159","https://openalex.org/W1977337939","https://openalex.org/W2581129964","https://openalex.org/W2014308491","https://openalex.org/W1971271701"],"abstract_inverted_index":{"An":[0],"approach":[1],"to":[2,36,46],"obtain":[3],"analytical":[4],"closed-form":[5],"expressions":[6],"for":[7],"the":[8],"macroscopic":[9,54],"'buckling":[10],"strength'":[11],"of":[12],"various":[13],"two-dimensional":[14],"cellular":[15],"structures":[16],"is":[17,21,34],"presented.":[18],"The":[19,58],"method":[20],"based":[22],"on":[23],"classical":[24],"beam-column":[25],"end-moment":[26],"behaviour":[27],"expressed":[28],"in":[29],"a":[30,52],"matrix":[31],"form.":[32],"It":[33],"applied":[35],"sample":[37],"honeycombs":[38],"with":[39],"square,":[40],"triangular":[41],"and":[42],"hexagonal":[43],"unit":[44],"cells":[45],"determine":[47],"their":[48],"buckling":[49],"strength":[50],"under":[51],"general":[53],"in-plane":[55],"stress":[56],"state.":[57],"results":[59],"were":[60],"verified":[61],"using":[62],"finite-element":[63],"Eigenvalue":[64],"analysis.":[65]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}