{"id":"https://openalex.org/W4394713541","doi":"https://doi.org/10.1073/pnas.2322415121","title":"Uncovering the dual role of dimensionless radius in buckling of spherical shells with random geometric imperfections","display_name":"Uncovering the dual role of dimensionless radius in buckling of spherical shells with random geometric imperfections","publication_year":2024,"publication_date":"2024-04-11","ids":{"openalex":"https://openalex.org/W4394713541","doi":"https://doi.org/10.1073/pnas.2322415121","pmid":"https://pubmed.ncbi.nlm.nih.gov/38602918","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/11032445"},"language":"en","primary_location":{"id":"doi:10.1073/pnas.2322415121","doi":"https://doi.org/10.1073/pnas.2322415121","is_oa":true,"landing_page_url":"https://doi.org/10.1073/pnas.2322415121","pdf_url":null,"source":{"id":"https://openalex.org/S125754415","display_name":"Proceedings of the National Academy of Sciences","issn_l":"0027-8424","issn":["0027-8424","1091-6490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","erih-plus","jufo-3","ki-jl-3","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320052","host_organization_name":"National Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310320052"],"host_organization_lineage_names":["National Academy of Sciences"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the National Academy of 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/10.1073/pnas.2322415121","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068406745","display_name":"Zheren Baizhikova","orcid":"https://orcid.org/0009-0008-7737-7865","observed_orcids":["https://orcid.org/0009-0008-7737-7865"]},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zheren Baizhikova","raw_affiliation_strings":["Department of Civil and Environmental Engineering, University of Houston, Houston, TX 77204"],"raw_orcid":"https://orcid.org/0009-0008-7737-7865","affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, University of Houston, Houston, TX 77204","institution_ids":["https://openalex.org/I44461941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002085647","display_name":"Roberto Ballarini","orcid":"https://orcid.org/0000-0002-4827-5818","observed_orcids":["https://orcid.org/0000-0002-4827-5818"]},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Roberto Ballarini","raw_affiliation_strings":["Department of Civil and Environmental Engineering, University of Houston, Houston, TX 77204"],"raw_orcid":"https://orcid.org/0000-0002-4827-5818","affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, University of Houston, Houston, TX 77204","institution_ids":["https://openalex.org/I44461941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062311601","display_name":"Jia\u2010Liang Le","orcid":"https://orcid.org/0000-0002-9494-666X","observed_orcids":["https://orcid.org/0000-0002-9494-666X"]},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I2800403580","display_name":"University of Minnesota System","ror":"https://ror.org/03grvy078","country_code":"US","type":"education","lineage":["https://openalex.org/I2800403580"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jia-Liang Le","raw_affiliation_strings":["Department of Civil, Environmental, and Geo-Engineering, University of Minnesota, Minneapolis, MN 55455"],"raw_orcid":"https://orcid.org/0000-0002-9494-666X","affiliations":[{"raw_affiliation_string":"Department of Civil, Environmental, and Geo-Engineering, University of Minnesota, Minneapolis, MN 55455","institution_ids":["https://openalex.org/I130238516","https://openalex.org/I2800403580"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002085647","https://openalex.org/A5062311601"],"corresponding_institution_ids":["https://openalex.org/I130238516","https://openalex.org/I2800403580","https://openalex.org/I44461941"],"apc_list":null,"apc_paid":null,"fwci":5.0067,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.96519574,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"121","issue":"16","first_page":"e2322415121","last_page":"e2322415121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.5019999742507935,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.5019999742507935,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12086","display_name":"Structural Integrity and Reliability Analysis","score":0.4603999853134155,"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/T10713","display_name":"Structural Load-Bearing Analysis","score":0.010200000368058681,"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/geometric-imperfections","display_name":"geometric imperfections","score":0.8320000171661377},{"id":"https://openalex.org/keywords/weibull-distribution","display_name":"Weibull distribution","score":0.9800000190734863},{"id":"https://openalex.org/keywords/strain-localization","display_name":"strain localization","score":0.5920000076293945},{"id":"https://openalex.org/keywords/correlation-length","display_name":"correlation length","score":0.5870000123977661},{"id":"https://openalex.org/keywords/radius-to-thickness-ratio","display_name":"radius-to-thickness ratio","score":0.8399999737739563},{"id":"https://openalex.org/keywords/stochastic-finite-element-method","display_name":"stochastic finite element method","score":0.8240000009536743},{"id":"https://openalex.org/keywords/reliability-based-design","display_name":"reliability-based design","score":0.7450000047683716},{"id":"https://openalex.org/keywords/thin-walled-structures","display_name":"thin-walled structures","score":0.7440000176429749},{"id":"https://openalex.org/keywords/hemispherical-shell","display_name":"hemispherical shell","score":0.9549999833106995}],"concepts":[{"id":"https://openalex.org/C85476182","wikidata":"https://www.wikidata.org/wiki/Q693104","display_name":"Buckling","level":2,"score":0.8991307020187378},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.6497379541397095},{"id":"https://openalex.org/C173291955","wikidata":"https://www.wikidata.org/wiki/Q732332","display_name":"Weibull distribution","level":2,"score":0.6398648619651794},{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.5746057629585266},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5465514063835144},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.49869298934936523},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4967105984687805},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.4849717617034912},{"id":"https://openalex.org/C108280814","wikidata":"https://www.wikidata.org/wiki/Q12137","display_name":"Spherical shell","level":3,"score":0.4841776192188263},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4707052409648895},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.4693656265735626},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.45759162306785583},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4546043276786804},{"id":"https://openalex.org/C2778374714","wikidata":"https://www.wikidata.org/wiki/Q1135567","display_name":"Buckle","level":2,"score":0.4401707947254181},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.43961530923843384},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3354201316833496},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3335002660751343},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3032725751399994},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.285806268453598},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2291349172592163},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18371888995170593},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09675559401512146},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.08451229333877563},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1073/pnas.2322415121","doi":"https://doi.org/10.1073/pnas.2322415121","is_oa":true,"landing_page_url":"https://doi.org/10.1073/pnas.2322415121","pdf_url":null,"source":{"id":"https://openalex.org/S125754415","display_name":"Proceedings of the National Academy of Sciences","issn_l":"0027-8424","issn":["0027-8424","1091-6490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","erih-plus","jufo-3","ki-jl-3","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320052","host_organization_name":"National Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310320052"],"host_organization_lineage_names":["National Academy of Sciences"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the National Academy of Sciences","raw_type":"journal-article"},{"id":"pmh:oai:pubmedcentral.nih.gov:11032445","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11032445","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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proc Natl Acad Sci U S A","raw_type":"Text"},{"id":"pmid:38602918","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38602918","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 of the National Academy of Sciences of the United States of America","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1073/pnas.2322415121","doi":"https://doi.org/10.1073/pnas.2322415121","is_oa":true,"landing_page_url":"https://doi.org/10.1073/pnas.2322415121","pdf_url":null,"source":{"id":"https://openalex.org/S125754415","display_name":"Proceedings of the National Academy of Sciences","issn_l":"0027-8424","issn":["0027-8424","1091-6490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","doyens","erih-plus","jufo-3","ki-jl-3","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320052","host_organization_name":"National Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310320052"],"host_organization_lineage_names":["National Academy of Sciences"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the National Academy of Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W106757191","https://openalex.org/W292621941","https://openalex.org/W592060461","https://openalex.org/W748768615","https://openalex.org/W1530528502","https://openalex.org/W1552974324","https://openalex.org/W1967960870","https://openalex.org/W1981843305","https://openalex.org/W1984323858","https://openalex.org/W1992935849","https://openalex.org/W2001141328","https://openalex.org/W2016127608","https://openalex.org/W2020886891","https://openalex.org/W2034456252","https://openalex.org/W2035990458","https://openalex.org/W2038781042","https://openalex.org/W2069434804","https://openalex.org/W2071869246","https://openalex.org/W2073323073","https://openalex.org/W2074409630","https://openalex.org/W2109520050","https://openalex.org/W2122456939","https://openalex.org/W2130673537","https://openalex.org/W2142605088","https://openalex.org/W2312194337","https://openalex.org/W2327152956","https://openalex.org/W2338475822","https://openalex.org/W2514261194","https://openalex.org/W2521017078","https://openalex.org/W2550788522","https://openalex.org/W2568610671","https://openalex.org/W2727420541","https://openalex.org/W2783733993","https://openalex.org/W2789231678","https://openalex.org/W2936745238","https://openalex.org/W2958330605","https://openalex.org/W2972616349","https://openalex.org/W3008113956","https://openalex.org/W3145834777","https://openalex.org/W3189623146","https://openalex.org/W4205598956","https://openalex.org/W4220766984","https://openalex.org/W4238496877","https://openalex.org/W4312389133","https://openalex.org/W4320167697","https://openalex.org/W4380738268","https://openalex.org/W4381513106"],"related_works":["https://openalex.org/W12969132","https://openalex.org/W4393306760","https://openalex.org/W2149580766","https://openalex.org/W4416972430","https://openalex.org/W2163848511","https://openalex.org/W4320167697","https://openalex.org/W2023836812","https://openalex.org/W4383892322","https://openalex.org/W4386639638","https://openalex.org/W7214603609"],"abstract_inverted_index":{"Localized":[0],"deformation":[1,163],"and":[2,55,98],"randomly":[3],"shaped":[4],"imperfections":[5,57],"are":[6,30,85,115,233],"salient":[7],"features":[8],"of":[9,63,82,102,121,134,138,161,174,188,200,223,230],"buckling-type":[10],"instabilities":[11],"in":[12,25,79,217],"thin-walled":[13],"load-bearing":[14],"structures.":[15],"However,":[16],"it":[17],"is":[18,106,151,195],"generally":[19],"agreed":[20],"that":[21,144,182,204],"their":[22],"complex":[23],"interactions":[24],"response":[26],"to":[27,43,59,67,125],"mechanical":[28],"loading":[29],"not":[31],"yet":[32],"sufficiently":[33],"understood,":[34],"as":[35,128,130],"evidenced":[36],"by":[37,87,153],"buckling-induced":[38],"catastrophic":[39],"failures":[40],"which":[41,214],"continue":[42],"today.":[44],"This":[45],"study":[46],"investigates":[47],"how":[48,206],"the":[49,61,64,80,93,99,103,122,131,135,139,148,154,159,162,167,172,179,189,198,201,207,224],"intimate":[50],"coupling":[51],"between":[52],"localization":[53],"mechanisms":[54],"geometric":[56,77],"combine":[58],"determine":[60],"statistics":[62,199],"pressure":[65,105,150],"required":[66],"buckle":[68],"(the":[69],"illustrative":[70],"example":[71],"of)":[72],"a":[73,83,88,118,192,211],"hemispherical":[74,95],"shell.":[75],"The":[76,141,221],"imperfections,":[78],"form":[81],"surface,":[84],"defined":[86],"random":[89],"field":[90],"generated":[91],"over":[92,145],"nominally":[94],"shell":[96,231],"geometry,":[97],"probability":[100],"distribution":[101,137],"buckling":[104,149,181,202],"computed":[107],"via":[108],"stochastic":[109],"finite":[110],"element":[111],"analysis.":[112],"Monte-Carlo":[113],"simulations":[114,168],"performed":[116],"for":[117,197,227],"wide":[119],"range":[120],"shell's":[123],"radius":[124,209],"thickness":[126],"ratio,":[127],"well":[129],"correlation":[132],"length":[133],"spatial":[136],"imperfection.":[140],"results":[142],"show":[143],"this":[146],"range,":[147],"captured":[152],"Weibull":[155],"distribution.":[156],"In":[157,186],"addition,":[158],"analyses":[160],"patterns":[164],"observed":[165],"during":[166],"provide":[169],"insights":[170],"into":[171],"effects":[173],"certain":[175],"characteristic":[176],"lengths":[177],"on":[178],"local":[180],"triggers":[183],"global":[184],"instability.":[185],"light":[187],"simulation":[190],"results,":[191],"probabilistic":[193],"model":[194,226],"developed":[196],"load":[203],"reveals":[205],"dimensionless":[208],"plays":[210],"dual":[212],"role":[213],"remained":[215],"hidden":[216],"previous":[218],"deterministic":[219],"analyses.":[220],"implications":[222],"present":[225],"reliability-based":[228],"design":[229],"structures":[232],"discussed.":[234]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":2}],"updated_date":"2026-10-29T09:56:32.521200","created_date":"2024-04-12T00:00:00"}