{"id":"https://openalex.org/W7168100713","doi":"https://doi.org/10.2478/auom-2026-0024","title":"Fractal nonlocal thermoelastic dynamics of imperfect curved functionally graded nanobeam with memory effect","display_name":"Fractal nonlocal thermoelastic dynamics of imperfect curved functionally graded nanobeam with memory effect","publication_year":2026,"publication_date":"2026-07-01","ids":{"openalex":"https://openalex.org/W7168100713","doi":"https://doi.org/10.2478/auom-2026-0024"},"language":"en","primary_location":{"id":"doi:10.2478/auom-2026-0024","doi":"https://doi.org/10.2478/auom-2026-0024","is_oa":true,"landing_page_url":"https://doi.org/10.2478/auom-2026-0024","pdf_url":"https://reference-global.com/download/article/10.2478/auom-2026-0024.pdf","source":{"id":"https://openalex.org/S1019802765","display_name":"Analele Universit\u0103\u0163ii \"Ovidius\" Constan\u0163a. Seria Matematic\u0103","issn_l":"1224-1784","issn":["1224-1784","1844-0835"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","ddh","doaj","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310314586","host_organization_name":"Ovidius University","host_organization_lineage":["https://openalex.org/P4310314586"],"host_organization_lineage_names":["Ovidius University"],"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":"Analele \u015ftiin\u0163ifice ale Universit\u0103\u0163ii \"Ovidius\" Constan\u0163a. Seria Matematic\u0103","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://reference-global.com/download/article/10.2478/auom-2026-0024.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037224934","display_name":"Rajendran Selvamani","orcid":"https://orcid.org/0000-0001-5166-5449","observed_orcids":["https://orcid.org/0000-0001-5166-5449"]},"institutions":[{"id":"https://openalex.org/I119668213","display_name":"Karunya University","ror":"https://ror.org/03k23nv15","country_code":"IN","type":"education","lineage":["https://openalex.org/I119668213"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rajendran Selvamani","raw_affiliation_strings":["1 Department of Mathematics , Karunya Institute of Technology and Sciences , Karunya Nagar, Coimbatore , Tamilnadu , India "],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1 Department of Mathematics , Karunya Institute of Technology and Sciences , Karunya Nagar, Coimbatore , Tamilnadu , India ","institution_ids":["https://openalex.org/I119668213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5130456168","display_name":"Thangamuni Prabhakaran","orcid":"https://orcid.org/0009-0007-7897-0356","observed_orcids":["https://orcid.org/0009-0007-7897-0356"]},"institutions":[{"id":"https://openalex.org/I119668213","display_name":"Karunya University","ror":"https://ror.org/03k23nv15","country_code":"IN","type":"education","lineage":["https://openalex.org/I119668213"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Thangamuni Prabhakaran","raw_affiliation_strings":["2 Department of Mathematics , Karunya Institute of Technology and Sciences , Karunya Nagar, Coimbatore , Tamilnadu , India "],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"2 Department of Mathematics , Karunya Institute of Technology and Sciences , Karunya Nagar, Coimbatore , Tamilnadu , India ","institution_ids":["https://openalex.org/I119668213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015681053","display_name":"Mar\u00edn Mar\u00edn","orcid":"https://orcid.org/0000-0003-1552-3763","observed_orcids":["https://orcid.org/0000-0003-1552-3763"]},"institutions":[{"id":"https://openalex.org/I3123573182","display_name":"Transilvania University of Bra\u0219ov","ror":"https://ror.org/01cg9ws23","country_code":"RO","type":"education","lineage":["https://openalex.org/I3123573182"]},{"id":"https://openalex.org/I58077936","display_name":"Romanian Academy","ror":"https://ror.org/0561n6946","country_code":"RO","type":"archive","lineage":["https://openalex.org/I58077936"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Marin Marin","raw_affiliation_strings":["3 Department of Mathematics and Computer Science , Transilvania University of Brasov , Brasov , Romanian Academy of Romanian Scientists , Iifov street , 3, 050045 Bucharest , Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"3 Department of Mathematics and Computer Science , Transilvania University of Brasov , Brasov , Romanian Academy of Romanian Scientists , Iifov street , 3, 050045 Bucharest , Romania","institution_ids":["https://openalex.org/I3123573182","https://openalex.org/I58077936"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"2","first_page":"163","last_page":"196"},"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":0.9926999807357788,"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":0.9926999807357788,"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":0.006300000008195639,"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":0.0005000000237487257,"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/functionally-graded-materials","display_name":"functionally graded materials","score":0.9520000219345093},{"id":"https://openalex.org/keywords/porosity","display_name":"porosity","score":0.7459999918937683},{"id":"https://openalex.org/keywords/timoshenko-beam","display_name":"Timoshenko beam theory","score":0.8289999961853027},{"id":"https://openalex.org/keywords/natural-frequencies","display_name":"natural frequencies","score":0.843999981880188},{"id":"https://openalex.org/keywords/temperature-dependent-material-properties","display_name":"temperature-dependent material properties","score":0.7120000123977661},{"id":"https://openalex.org/keywords/fractal-geometry","display_name":"fractal geometry","score":0.5379999876022339},{"id":"https://openalex.org/keywords/thermal-loading","display_name":"thermal loading","score":0.4519999921321869}],"concepts":[{"id":"https://openalex.org/C92458943","wikidata":"https://www.wikidata.org/wiki/Q7783171","display_name":"Thermoelastic damping","level":3,"score":0.8378000259399414},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.7538999915122986},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.6516000032424927},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.5794000029563904},{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.5338000059127808},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4887999892234802},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.4821000099182129},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.47450000047683716},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4717999994754791},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42649999260902405},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.4189999997615814},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4099999964237213},{"id":"https://openalex.org/C137109543","wikidata":"https://www.wikidata.org/wiki/Q554388","display_name":"Temperature gradient","level":2,"score":0.38530001044273376},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34549999237060547},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33550000190734863},{"id":"https://openalex.org/C49097943","wikidata":"https://www.wikidata.org/wiki/Q898455","display_name":"Shape-memory alloy","level":2,"score":0.33180001378059387},{"id":"https://openalex.org/C31555180","wikidata":"https://www.wikidata.org/wiki/Q3523867","display_name":"Material properties","level":2,"score":0.3158999979496002},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31130000948905945},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3041999936103821},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.30059999227523804},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.3003000020980835},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.29739999771118164},{"id":"https://openalex.org/C79186407","wikidata":"https://www.wikidata.org/wiki/Q472074","display_name":"Plasticity","level":2,"score":0.29190000891685486},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.287200003862381},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2847999930381775},{"id":"https://openalex.org/C202973686","wikidata":"https://www.wikidata.org/wiki/Q1937401","display_name":"Constitutive equation","level":3,"score":0.28209999203681946},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.2777999937534332},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.25780001282691956},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.25110000371932983}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2478/auom-2026-0024","doi":"https://doi.org/10.2478/auom-2026-0024","is_oa":true,"landing_page_url":"https://doi.org/10.2478/auom-2026-0024","pdf_url":"https://reference-global.com/download/article/10.2478/auom-2026-0024.pdf","source":{"id":"https://openalex.org/S1019802765","display_name":"Analele Universit\u0103\u0163ii \"Ovidius\" Constan\u0163a. Seria Matematic\u0103","issn_l":"1224-1784","issn":["1224-1784","1844-0835"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","ddh","doaj","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310314586","host_organization_name":"Ovidius University","host_organization_lineage":["https://openalex.org/P4310314586"],"host_organization_lineage_names":["Ovidius University"],"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":"Analele \u015ftiin\u0163ifice ale Universit\u0103\u0163ii \"Ovidius\" Constan\u0163a. Seria Matematic\u0103","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9b7dc5f5cee6414fb7bc72773510fc59","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/9b7dc5f5cee6414fb7bc72773510fc59","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 34, Iss 2, Pp 163-196 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2478/auom-2026-0024","doi":"https://doi.org/10.2478/auom-2026-0024","is_oa":true,"landing_page_url":"https://doi.org/10.2478/auom-2026-0024","pdf_url":"https://reference-global.com/download/article/10.2478/auom-2026-0024.pdf","source":{"id":"https://openalex.org/S1019802765","display_name":"Analele Universit\u0103\u0163ii \"Ovidius\" Constan\u0163a. Seria Matematic\u0103","issn_l":"1224-1784","issn":["1224-1784","1844-0835"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","ddh","doaj","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310314586","host_organization_name":"Ovidius University","host_organization_lineage":["https://openalex.org/P4310314586"],"host_organization_lineage_names":["Ovidius University"],"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":"Analele \u015ftiin\u0163ifice ale Universit\u0103\u0163ii \"Ovidius\" Constan\u0163a. Seria Matematic\u0103","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7168100713.pdf","grobid_xml":"https://content.openalex.org/works/W7168100713.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W338742402","https://openalex.org/W1475701354","https://openalex.org/W1855829969","https://openalex.org/W1963587021","https://openalex.org/W1966330485","https://openalex.org/W1971651122","https://openalex.org/W1972887944","https://openalex.org/W1978264021","https://openalex.org/W1994136863","https://openalex.org/W1994225683","https://openalex.org/W1995773566","https://openalex.org/W1997360736","https://openalex.org/W1999199992","https://openalex.org/W1999544762","https://openalex.org/W2001457533","https://openalex.org/W2031513512","https://openalex.org/W2043639310","https://openalex.org/W2053992765","https://openalex.org/W2062259037","https://openalex.org/W2070510933","https://openalex.org/W2073356408","https://openalex.org/W2085330818","https://openalex.org/W2105096210","https://openalex.org/W2114759516","https://openalex.org/W2163761977","https://openalex.org/W2165879238","https://openalex.org/W2169583634","https://openalex.org/W2261031729","https://openalex.org/W2281476017","https://openalex.org/W2300130775","https://openalex.org/W2501214040","https://openalex.org/W2566653802","https://openalex.org/W2971634563","https://openalex.org/W3132413602","https://openalex.org/W3194995033","https://openalex.org/W3210878770","https://openalex.org/W4206546042","https://openalex.org/W4214902167","https://openalex.org/W4256340197","https://openalex.org/W4292975129","https://openalex.org/W4320484709","https://openalex.org/W4379259231","https://openalex.org/W4386099078","https://openalex.org/W4401807804","https://openalex.org/W4408377429","https://openalex.org/W4409306854","https://openalex.org/W4411489636","https://openalex.org/W4412873722"],"related_works":["https://openalex.org/W4414677924","https://openalex.org/W2986860773","https://openalex.org/W6903498417","https://openalex.org/W2925711816","https://openalex.org/W3212631623","https://openalex.org/W4411235713","https://openalex.org/W2991464456","https://openalex.org/W4309359867","https://openalex.org/W7220661262","https://openalex.org/W4410155614"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"study":[2,117],"presents":[3],"an":[4],"exact":[5],"analytical":[6],"investigation":[7],"into":[8],"the":[9,57,87,98],"vibrational":[10],"behavior":[11,42],"of":[12,100],"imperfect":[13],"curved":[14],"nanobeams":[15],"under":[16],"uniform":[17],"thermal":[18,103],"conditions,":[19],"incorporating":[20],"fractal":[21,82,108,122],"geometry":[22],"to":[23,38,49,60],"model":[24,37,48],"material":[25],"heterogeneity":[26],"at":[27],"multiple":[28],"scales.":[29],"The":[30,71,116],"analysis":[31],"employs":[32],"a":[33,45,61],"combined":[34],"nonlocal\u2013strain":[35],"gradient":[36,105],"account":[39],"for":[40,66,131],"scale-dependent":[41],"and":[43,81,96,110,121,140],"introduces":[44],"memory-dependent":[46,120],"constitutive":[47],"reflect":[50],"time-history":[51],"influences.":[52],"Material":[53],"properties":[54],"vary":[55],"through":[56],"thickness":[58],"according":[59],"temperature-dependent":[62],"modified":[63],"power-law,":[64],"accounting":[65],"porosity":[67,139],"induced":[68],"during":[69],"manufacturing.":[70],"governing":[72],"equations,":[73],"derived":[74],"via":[75],"Timoshenko":[76],"beam":[77],"theory":[78],"with":[79,138],"memory":[80,111],"effects,":[83],"are":[84,91],"solved":[85],"using":[86],"Navier":[88],"method.":[89],"Results":[90],"validated":[92],"against":[93],"existing":[94],"literature":[95],"emphasize":[97],"influence":[99],"nonlocality,":[101],"porosity,":[102],"loading,":[104],"index,":[106],"geometry,":[107],"scaling,":[109],"effects":[112],"on":[113,134],"natural":[114],"frequencies.":[115],"confirms":[118],"that":[119],"behaviors":[123],"significantly":[124],"affect":[125],"dynamic":[126],"responses,":[127],"offering":[128],"benchmark":[129],"solutions":[130],"future":[132],"research":[133],"functionally":[135],"graded":[136],"nanostructures":[137],"time-dependent":[141],"effects.":[142]},"counts_by_year":[],"updated_date":"2026-10-22T18:32:59.640997","created_date":"2026-07-13T00:00:00"}