{"id":"https://openalex.org/W4288077191","doi":"https://doi.org/10.1080/15397734.2022.2088558","title":"Vibration and static buckling behavior of variable thickness flexoelectric nanoplates","display_name":"Vibration and static buckling behavior of variable thickness flexoelectric nanoplates","publication_year":2022,"publication_date":"2022-07-28","ids":{"openalex":"https://openalex.org/W4288077191","doi":"https://doi.org/10.1080/15397734.2022.2088558"},"language":"en","primary_location":{"id":"doi:10.1080/15397734.2022.2088558","doi":"https://doi.org/10.1080/15397734.2022.2088558","is_oa":false,"landing_page_url":"https://doi.org/10.1080/15397734.2022.2088558","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/A5055975548","display_name":"Doan Hong Duc","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405277486","display_name":"Tr\u01b0\u1eddng \u0110\u1ea1i h\u1ecdc Khoa h\u1ecdc v\u00e0 C\u00f4ng ngh\u1ec7 H\u00e0 N\u1ed9i","ror":"https://ror.org/02wdwrr89","country_code":"VN","type":"education","lineage":["https://openalex.org/I4405277486"]},{"id":"https://openalex.org/I94518387","display_name":"Hanoi University of Science and Technology","ror":"https://ror.org/04nyv3z04","country_code":"VN","type":"education","lineage":["https://openalex.org/I94518387"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Doan Hong Duc","raw_affiliation_strings":["School of Transportation Engineering, Hanoi University of Science and Technology, Hanoi, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Transportation Engineering, Hanoi University of Science and Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I4405277486","https://openalex.org/I94518387"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080080089","display_name":"Do Van Thom","orcid":"https://orcid.org/0000-0002-8570-0625","observed_orcids":["https://orcid.org/0000-0002-8570-0625"]},"institutions":[{"id":"https://openalex.org/I131359167","display_name":"Le Quy Don Technical University","ror":"https://ror.org/04wgyjv21","country_code":"VN","type":"education","lineage":["https://openalex.org/I131359167"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Do Van Thom","raw_affiliation_strings":["Le Quy Don Technical University, Hanoi, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Le Quy Don Technical University, Hanoi, Vietnam","institution_ids":["https://openalex.org/I131359167"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000791093","display_name":"Pham Hong Cong","orcid":"https://orcid.org/0000-0001-6609-8037","observed_orcids":["https://orcid.org/0000-0001-6609-8037"]},"institutions":[{"id":"https://openalex.org/I70349855","display_name":"Vietnam Academy of Science and Technology","ror":"https://ror.org/02wsd5p50","country_code":"VN","type":"government","lineage":["https://openalex.org/I70349855"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Pham Hong Cong","raw_affiliation_strings":["Centre for Informatics and Computing (CIC), Vietnam Academy of Science and Technology, Hanoi, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Informatics and Computing (CIC), Vietnam Academy of Science and Technology, Hanoi, Vietnam","institution_ids":["https://openalex.org/I70349855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037395631","display_name":"Phung V. Minh","orcid":"https://orcid.org/0000-0002-4457-2479","observed_orcids":["https://orcid.org/0000-0002-4457-2479"]},"institutions":[{"id":"https://openalex.org/I131359167","display_name":"Le Quy Don Technical University","ror":"https://ror.org/04wgyjv21","country_code":"VN","type":"education","lineage":["https://openalex.org/I131359167"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Phung Van Minh","raw_affiliation_strings":["Le Quy Don Technical University, Hanoi, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Le Quy Don Technical University, Hanoi, Vietnam","institution_ids":["https://openalex.org/I131359167"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068446257","display_name":"Nguyen Xuan Nguyen","orcid":"https://orcid.org/0000-0002-8389-7145","observed_orcids":["https://orcid.org/0000-0002-8389-7145"]},"institutions":[{"id":"https://openalex.org/I177233841","display_name":"Vietnam National University, Hanoi","ror":"https://ror.org/02jmfj006","country_code":"VN","type":"education","lineage":["https://openalex.org/I177233841"]},{"id":"https://openalex.org/I67868205","display_name":"VNU University of Science","ror":"https://ror.org/05w54hk79","country_code":"VN","type":"education","lineage":["https://openalex.org/I177233841","https://openalex.org/I67868205"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Nguyen Xuan Nguyen","raw_affiliation_strings":["Department of Mathematics, Mechanics and Informatics, University of Science, Vietnam National University, Hanoi City, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Mechanics and Informatics, University of Science, Vietnam National University, Hanoi City, Vietnam","institution_ids":["https://openalex.org/I177233841","https://openalex.org/I67868205"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5055975548","https://openalex.org/A5080080089"],"corresponding_institution_ids":["https://openalex.org/I131359167","https://openalex.org/I4405277486","https://openalex.org/I94518387"],"apc_list":null,"apc_paid":null,"fwci":6.9264,"has_fulltext":false,"cited_by_count":71,"citation_normalized_percentile":{"value":0.99180559,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"51","issue":"12","first_page":"7102","last_page":"7130"},"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":0.9945999979972839,"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":0.9945999979972839,"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":0.003599999938160181,"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.0005000000237487257,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/variable-thickness-plates","display_name":"variable thickness plates","score":0.8209999799728394},{"id":"https://openalex.org/keywords/free-vibration","display_name":"free vibration","score":0.9810000061988831},{"id":"https://openalex.org/keywords/static-buckling","display_name":"static buckling","score":0.9980000257492065},{"id":"https://openalex.org/keywords/mode-shapes","display_name":"mode shapes","score":0.9089999794960022},{"id":"https://openalex.org/keywords/flexoelectricity","display_name":"flexoelectricity","score":0.7260000109672546}],"concepts":[{"id":"https://openalex.org/C2778070859","wikidata":"https://www.wikidata.org/wiki/Q5459026","display_name":"Flexoelectricity","level":3,"score":0.8820908069610596},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.7243549227714539},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.6373211145401001},{"id":"https://openalex.org/C85476182","wikidata":"https://www.wikidata.org/wiki/Q693104","display_name":"Buckling","level":2,"score":0.63077712059021},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.5938020348548889},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5559769868850708},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5075458288192749},{"id":"https://openalex.org/C136560751","wikidata":"https://www.wikidata.org/wiki/Q1144923","display_name":"Virtual work","level":3,"score":0.4605526030063629},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4324013590812683},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.418373167514801},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.278921902179718},{"id":"https://openalex.org/C100082104","wikidata":"https://www.wikidata.org/wiki/Q183759","display_name":"Piezoelectricity","level":2,"score":0.22027185559272766},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.1912814974784851},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1835450530052185},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.16695469617843628},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12150168418884277},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/15397734.2022.2088558","doi":"https://doi.org/10.1080/15397734.2022.2088558","is_oa":false,"landing_page_url":"https://doi.org/10.1080/15397734.2022.2088558","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":[{"id":"https://openalex.org/F4320309617","display_name":"National Foundation for Science and Technology Development","ror":"https://ror.org/04rw64z44"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W229402755","https://openalex.org/W1966647588","https://openalex.org/W1988268834","https://openalex.org/W2010898750","https://openalex.org/W2036868661","https://openalex.org/W2053731672","https://openalex.org/W2054964267","https://openalex.org/W2061877720","https://openalex.org/W2064692448","https://openalex.org/W2084431292","https://openalex.org/W2129444291","https://openalex.org/W2130198650","https://openalex.org/W2137246723","https://openalex.org/W2167135318","https://openalex.org/W2277617300","https://openalex.org/W2284799143","https://openalex.org/W2317453929","https://openalex.org/W2398250823","https://openalex.org/W2460409177","https://openalex.org/W2473091683","https://openalex.org/W2621231992","https://openalex.org/W2725081302","https://openalex.org/W2736668709","https://openalex.org/W2751656727","https://openalex.org/W2772364893","https://openalex.org/W2794088704","https://openalex.org/W2888143157","https://openalex.org/W2891864293","https://openalex.org/W2914065239","https://openalex.org/W2921144789","https://openalex.org/W2938426936","https://openalex.org/W2950526204","https://openalex.org/W2986565148","https://openalex.org/W2992034337","https://openalex.org/W3032014739","https://openalex.org/W3033264681","https://openalex.org/W3093530966","https://openalex.org/W3094869110","https://openalex.org/W3116923288","https://openalex.org/W3119983460","https://openalex.org/W3123264194","https://openalex.org/W3156928078","https://openalex.org/W3159550433","https://openalex.org/W3167059082","https://openalex.org/W3171014190","https://openalex.org/W3178589493","https://openalex.org/W3191960602","https://openalex.org/W3211087143","https://openalex.org/W3212152745","https://openalex.org/W4200289254","https://openalex.org/W4207017483","https://openalex.org/W4213261079","https://openalex.org/W4224082468","https://openalex.org/W4226372341"],"related_works":["https://openalex.org/W4310990388","https://openalex.org/W2583070461","https://openalex.org/W2757962759","https://openalex.org/W4403489315","https://openalex.org/W4416440737","https://openalex.org/W4404073702","https://openalex.org/W3123264194","https://openalex.org/W2084431292","https://openalex.org/W3212152745","https://openalex.org/W4400984355"],"abstract_inverted_index":{"The":[0,115,152,181],"nanoplates":[1,68],"have":[2],"been":[3],"used":[4],"extensively":[5],"in":[6,223,231],"electronic":[7],"devices,":[8],"during":[9],"the":[10,22,39,47,54,59,70,82,105,109,126,133,141,148,156,164,174,179,190,206,212,216,224],"working":[11,23,182],"process":[12],"they":[13],"can":[14],"be":[15],"affected":[16],"by":[17,86],"external":[18],"forces.":[19],"To":[20],"enhance":[21],"performance":[24,183],"of":[25,42,49,65,108,118,125,135,147,178,192,203,215,228],"mechanical":[26,40,106,213],"systems,":[27],"flexoelectric":[28,67,157,207],"effects":[29],"are":[30,111,121,150],"usually":[31],"added,":[32],"therefore,":[33],"it":[34],"is":[35,53,84,92,184,219],"necessary":[36],"to":[37,57],"study":[38],"behavior":[41,170],"these":[43,50],"material":[44,138],"structures":[45,110,230],"under":[46],"effect":[48,158,162,191,208],"effects.":[51],"This":[52,91,194,218],"first":[55],"research":[56],"examine":[58],"vibration":[60,143,166,175],"response":[61,214],"and":[62,72,88,129,137,144,167,226],"static":[63,145,168],"buckling":[64],"variable":[66],"using":[69],"FEM":[71],"novel":[73],"shear":[74,101],"deformation":[75],"theory":[76],"type":[77],"hyperbolic":[78],"sine":[79],"functions,":[80],"where":[81],"thickness":[83],"adjusted":[85],"linear":[87],"nonlinear":[89],"rules.":[90],"a":[93,160],"simple":[94],"theory,":[95],"which":[96],"does":[97],"not":[98],"need":[99],"any":[100],"correction":[102],"factors,":[103],"while":[104],"responses":[107],"still":[112],"described":[113],"exactly.":[114],"numerical":[116],"results":[117],"this":[119],"work":[120,195],"compared":[122],"with":[123],"those":[124],"analytical":[127],"approach":[128],"other":[130],"methods.":[131],"Then,":[132],"influences":[134],"geometrical":[136],"parameters":[139],"on":[140,163],"free":[142,165],"bucking":[146,169],"structure":[149],"explored.":[151],"data":[153],"shows":[154,197],"that":[155,198],"has":[159],"strong":[161],"as":[171,173],"well":[172],"mode":[176],"shapes":[177],"nanoplates.":[180],"increased":[185],"when":[186],"taking":[187],"into":[188],"account":[189],"flexoelectricity.":[193],"also":[196,209],"for":[199],"each":[200],"changing":[201],"rule":[202],"plate":[204,229],"thickness,":[205],"significantly":[210],"changes":[211],"plate.":[217],"an":[220],"important":[221],"suggestion":[222],"design":[225],"use":[227],"engineering":[232],"practice.":[233]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":21},{"year":2023,"cited_by_count":27},{"year":2022,"cited_by_count":6}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2022-07-28T00:00:00"}
