{"id":"https://openalex.org/W3137919927","doi":"https://doi.org/10.1080/15397734.2021.1901736","title":"Snap-through instability of slightly curved beams under sinusoidal loading based on nonlocal elasticity theory","display_name":"Snap-through instability of slightly curved beams under sinusoidal loading based on nonlocal elasticity theory","publication_year":2021,"publication_date":"2021-03-22","ids":{"openalex":"https://openalex.org/W3137919927","doi":"https://doi.org/10.1080/15397734.2021.1901736","mag":"3137919927"},"language":"en","primary_location":{"id":"doi:10.1080/15397734.2021.1901736","doi":"https://doi.org/10.1080/15397734.2021.1901736","is_oa":false,"landing_page_url":"https://doi.org/10.1080/15397734.2021.1901736","pdf_url":null,"source":{"id":"https://openalex.org/S1574008","display_name":"Mechanics Based Design of Structures and Machines","issn_l":"0360-1218","issn":["0360-1218","1536-7734","1539-7734","1539-7742","2332-3981"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mechanics Based Design of Structures and Machines","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070121655","display_name":"Ayfer Tekin Atacan","orcid":"https://orcid.org/0000-0001-8161-1345","observed_orcids":["https://orcid.org/0000-0001-8161-1345"]},"institutions":[{"id":"https://openalex.org/I4101805","display_name":"Y\u0131ld\u0131z Technical University","ror":"https://ror.org/0547yzj13","country_code":"TR","type":"education","lineage":["https://openalex.org/I4101805"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Ayfer Tekin Atacan","raw_affiliation_strings":["Faculty of Civil Engineering, Department of Civil Engineering, Yildiz Technical University","Faculty of Civil Engineering, Department of Civil Engineering, Yildiz Technical University, Istanbul, Turkey"],"raw_orcid":"https://orcid.org/0000-0001-8161-1345","affiliations":[{"raw_affiliation_string":"Faculty of Civil Engineering, Department of Civil Engineering, Yildiz Technical University","institution_ids":["https://openalex.org/I4101805"]},{"raw_affiliation_string":"Faculty of Civil Engineering, Department of Civil Engineering, Yildiz Technical University, Istanbul, Turkey","institution_ids":["https://openalex.org/I4101805"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068684368","display_name":"Receb Faruk Y\u00dcKSELER","orcid":"https://orcid.org/0000-0002-2733-580X","observed_orcids":["https://orcid.org/0000-0002-2733-580X"]},"institutions":[{"id":"https://openalex.org/I4101805","display_name":"Y\u0131ld\u0131z Technical University","ror":"https://ror.org/0547yzj13","country_code":"TR","type":"education","lineage":["https://openalex.org/I4101805"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Receb Faruk Y\u00fckseler","raw_affiliation_strings":["Faculty of Civil Engineering, Department of Civil Engineering, Yildiz Technical University","Faculty of Civil Engineering, Department of Civil Engineering, Yildiz Technical University, Istanbul, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-2733-580X","affiliations":[{"raw_affiliation_string":"Faculty of Civil Engineering, Department of Civil Engineering, Yildiz Technical University","institution_ids":["https://openalex.org/I4101805"]},{"raw_affiliation_string":"Faculty of Civil Engineering, Department of Civil Engineering, Yildiz Technical University, Istanbul, Turkey","institution_ids":["https://openalex.org/I4101805"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070121655"],"corresponding_institution_ids":["https://openalex.org/I4101805"],"apc_list":null,"apc_paid":null,"fwci":1.2373,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.73126918,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":"50","issue":"8","first_page":"2940","last_page":"2960"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11646","display_name":"Nonlocal and gradient elasticity in micro/nano structures","score":0.9878000020980835,"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"}},"topics":[{"id":"https://openalex.org/T11646","display_name":"Nonlocal and gradient elasticity in micro/nano structures","score":0.9878000020980835,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.0026000000070780516,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.002199999988079071,"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/snap-through-instability","display_name":"snap-through instability","score":0.8650000095367432},{"id":"https://openalex.org/keywords/nonlocal-elasticity","display_name":"nonlocal elasticity","score":0.7789999842643738},{"id":"https://openalex.org/keywords/eringen-nonlocal-theory","display_name":"Eringen nonlocal theory","score":0.8330000042915344},{"id":"https://openalex.org/keywords/harmonic-loading","display_name":"harmonic loading","score":0.8539999723434448},{"id":"https://openalex.org/keywords/lateral-load","display_name":"lateral loading","score":0.6600000262260437},{"id":"https://openalex.org/keywords/buckling","display_name":"buckling","score":0.5699999928474426},{"id":"https://openalex.org/keywords/post-buckling","display_name":"post-buckling","score":0.8889999985694885},{"id":"https://openalex.org/keywords/pre-buckling","display_name":"pre-buckling","score":0.8579999804496765},{"id":"https://openalex.org/keywords/initial-curvature","display_name":"initial curvature","score":0.7570000290870667},{"id":"https://openalex.org/keywords/nonlocal-parameter","display_name":"nonlocal parameter","score":0.8569999933242798},{"id":"https://openalex.org/keywords/thin-walled-beams","display_name":"thin-walled beams","score":0.7519999742507935},{"id":"https://openalex.org/keywords/equilibrium-paths","display_name":"equilibrium paths","score":0.671999990940094},{"id":"https://openalex.org/keywords/internal-forces","display_name":"internal forces","score":0.6930000185966492},{"id":"https://openalex.org/keywords/support-reactions","display_name":"support reactions","score":0.9200000166893005}],"concepts":[{"id":"https://openalex.org/C85476182","wikidata":"https://www.wikidata.org/wiki/Q693104","display_name":"Buckling","level":2,"score":0.8321706056594849},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.7645544409751892},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6048685312271118},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.60178142786026},{"id":"https://openalex.org/C108729823","wikidata":"https://www.wikidata.org/wiki/Q3716064","display_name":"Stiffening","level":2,"score":0.5399693250656128},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.5065542459487915},{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.5038835406303406},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.5038692355155945},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4644792973995209},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4376249313354492},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4360748529434204},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3907620906829834},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37801796197891235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37414443492889404},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25660452246665955},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.2132818102836609},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11977723240852356},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/15397734.2021.1901736","doi":"https://doi.org/10.1080/15397734.2021.1901736","is_oa":false,"landing_page_url":"https://doi.org/10.1080/15397734.2021.1901736","pdf_url":null,"source":{"id":"https://openalex.org/S1574008","display_name":"Mechanics Based Design of Structures and Machines","issn_l":"0360-1218","issn":["0360-1218","1536-7734","1539-7734","1539-7742","2332-3981"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mechanics Based Design of Structures and Machines","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1557297554","https://openalex.org/W1971717868","https://openalex.org/W1975566162","https://openalex.org/W1976766428","https://openalex.org/W1982327920","https://openalex.org/W2026073006","https://openalex.org/W2030375632","https://openalex.org/W2034785734","https://openalex.org/W2079493041","https://openalex.org/W2085220819","https://openalex.org/W2094466787","https://openalex.org/W2095565890","https://openalex.org/W2100474605","https://openalex.org/W2106309347","https://openalex.org/W2137865644","https://openalex.org/W2138425920","https://openalex.org/W2149462053","https://openalex.org/W2160421165","https://openalex.org/W2273767511","https://openalex.org/W2319965487","https://openalex.org/W2411757144","https://openalex.org/W2601827720","https://openalex.org/W2613102736","https://openalex.org/W2741615448","https://openalex.org/W2902458021","https://openalex.org/W2937111690","https://openalex.org/W2963361170","https://openalex.org/W2965218390","https://openalex.org/W2993678340","https://openalex.org/W3011022837","https://openalex.org/W3017597936","https://openalex.org/W3034384793","https://openalex.org/W3104422622"],"related_works":["https://openalex.org/W3036587892","https://openalex.org/W4213019354","https://openalex.org/W2291725303","https://openalex.org/W2596681855","https://openalex.org/W2003190799","https://openalex.org/W2127786373","https://openalex.org/W4389445026","https://openalex.org/W1710783932","https://openalex.org/W2497407104","https://openalex.org/W4413341429"],"abstract_inverted_index":{"The":[0,48,160],"nonlinear":[1,31],"behavior":[2],"of":[3,50,60,85,104,108,126,142,149,171,175],"thin-walled,":[4],"sinusoidal,":[5],"slightly":[6,62,110,177],"curved":[7,63,111,178],"beams":[8,179],"with":[9],"pinned":[10],"ends":[11],"under":[12,180],"lateral":[13,181],"sinusoidal":[14],"loading":[15],"is":[16,77],"considered":[17],"numerically,":[18],"based":[19],"on":[20,65,153],"Eringen\u2019s":[21],"nonlocal":[22,52,144,151],"elasticity":[23],"theory":[24],"and":[25,43,57,116,134,146,165],"the":[26,39,44,51,54,58,61,66,72,83,102,105,109,113,117,123,127,131,143,147,150,169,172,176],"Euler-Bernoulli":[27],"beam":[28,64],"theory.":[29],"Geometrically":[30],"governing":[32],"differential":[33],"equations":[34],"are":[35,69,137,156],"solved":[36],"by":[37],"using":[38],"finite":[40],"difference":[41],"method":[42],"displacement-controlled":[45],"Newton-Raphson":[46],"method.":[47],"influences":[49],"parameter,":[53],"initial":[55],"curvature,":[56],"span":[59],"buckling":[67,99,133],"values":[68,84,141],"examined.":[70],"Unlike":[71],"relevant":[73],"previous":[74],"studies,":[75],"it":[76],"stated":[78],"in":[79,93,158],"this":[80],"study":[81,161],"that":[82],"these":[86,154],"parameters":[87],"must":[88],"remain":[89],"within":[90],"certain":[91],"limits":[92],"order":[94],"to":[95,122],"have":[96],"purely":[97],"snap-through":[98,173],"behavior.":[100],"Moreover;":[101],"graphs":[103,155],"deformed":[106],"shapes":[107],"beams,":[112],"internal":[114],"forces":[115],"horizontal":[118],"support":[119],"reactions":[120],"corresponding":[121],"various":[124,140],"phases":[125],"equilibrium":[128],"paths":[129],"(including":[130],"prebuckling,":[132],"postbuckling":[135],"stages)":[136],"drawn":[138],"for":[139],"parameter":[145,152],"effect":[148],"investigated":[157],"detail.":[159],"contains":[162],"insightful":[163],"results":[164],"concluding":[166],"remarks":[167],"improving":[168],"comprehension":[170],"phenomenon":[174],"loading.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2026-10-22T09:42:04.148104","created_date":"2021-03-29T00:00:00"}
