{"id":"https://openalex.org/W4407124875","doi":"https://doi.org/10.1016/j.padiff.2025.101116","title":"Sinusoidal shear deformable beam theory for analytic nonlocal elasticity","display_name":"Sinusoidal shear deformable beam theory for analytic nonlocal elasticity","publication_year":2025,"publication_date":"2025-02-04","ids":{"openalex":"https://openalex.org/W4407124875","doi":"https://doi.org/10.1016/j.padiff.2025.101116"},"language":"en","primary_location":{"id":"doi:10.1016/j.padiff.2025.101116","doi":"https://doi.org/10.1016/j.padiff.2025.101116","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.padiff.2025.101116","pdf_url":null,"source":{"id":"https://openalex.org/S4210214501","display_name":"Partial Differential Equations in Applied Mathematics","issn_l":"2666-8181","issn":["2666-8181"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Partial Differential Equations in Applied Mathematics","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W4407124875"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1016/j.padiff.2025.101116","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071243552","display_name":"Indronil Devnath","orcid":"https://orcid.org/0000-0001-6714-9385","observed_orcids":["https://orcid.org/0000-0001-6714-9385"]},"institutions":[{"id":"https://openalex.org/I157386601","display_name":"North South University","ror":"https://ror.org/05wdbfp45","country_code":"BD","type":"education","lineage":["https://openalex.org/I157386601"]}],"countries":["BD"],"is_corresponding":true,"raw_author_name":"D. Indronil","raw_affiliation_strings":["Department of Civil and Environmental Engineering, North South University, Bangladesh"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, North South University, Bangladesh","institution_ids":["https://openalex.org/I157386601"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071243552"],"corresponding_institution_ids":["https://openalex.org/I157386601"],"apc_list":{"value":1470,"currency":"USD","value_usd":1470},"apc_paid":{"value":1470,"currency":"USD","value_usd":1470},"fwci":3.1589,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.92398439,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"13","issue":null,"first_page":"101116","last_page":"101116"},"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":1.0,"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":1.0,"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":9.999999747378752e-05,"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":0.0,"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/nonlocal-elasticity","display_name":"nonlocal elasticity","score":0.8100000023841858},{"id":"https://openalex.org/keywords/sinusoidal-shear-deformation-theory","display_name":"sinusoidal shear deformation theory","score":0.9380000233650208},{"id":"https://openalex.org/keywords/nanobeams","display_name":"nanobeams","score":0.9649999737739563},{"id":"https://openalex.org/keywords/bending","display_name":"bending","score":0.5400000214576721},{"id":"https://openalex.org/keywords/buckling","display_name":"buckling","score":0.9900000095367432},{"id":"https://openalex.org/keywords/free-vibration","display_name":"free vibration","score":0.9990000128746033},{"id":"https://openalex.org/keywords/small-size-effect","display_name":"small-scale effects","score":0.8820000290870667},{"id":"https://openalex.org/keywords/transverse-shear-deformation","display_name":"transverse shear deformation","score":0.9779999852180481},{"id":"https://openalex.org/keywords/buckling-load","display_name":"buckling load","score":0.7860000133514404},{"id":"https://openalex.org/keywords/natural-frequencies","display_name":"natural frequencies","score":0.5839999914169312},{"id":"https://openalex.org/keywords/laplace-transform-solution","display_name":"Laplace transform solution","score":0.6850000023841858},{"id":"https://openalex.org/keywords/hamilton-s-principle","display_name":"Hamilton's principle","score":0.6340000033378601}],"concepts":[{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.6370219588279724},{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.5650205612182617},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.5300968289375305},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.48544079065322876},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4589025378227234},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4423466622829437},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.43895265460014343},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3785156309604645},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.16272655129432678},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1595860719680786},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06049761176109314},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.padiff.2025.101116","doi":"https://doi.org/10.1016/j.padiff.2025.101116","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.padiff.2025.101116","pdf_url":null,"source":{"id":"https://openalex.org/S4210214501","display_name":"Partial Differential Equations in Applied Mathematics","issn_l":"2666-8181","issn":["2666-8181"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Partial Differential Equations in Applied Mathematics","raw_type":"journal-article"},{"id":"doi:10.2139/ssrn.4931213","doi":"https://doi.org/10.2139/ssrn.4931213","is_oa":true,"landing_page_url":"http://doi.org/10.2139/ssrn.4931213","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.1016/j.padiff.2025.101116","doi":"https://doi.org/10.1016/j.padiff.2025.101116","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.padiff.2025.101116","pdf_url":null,"source":{"id":"https://openalex.org/S4210214501","display_name":"Partial Differential Equations in Applied Mathematics","issn_l":"2666-8181","issn":["2666-8181"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Partial Differential Equations in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W1971717868","https://openalex.org/W1977925798","https://openalex.org/W1978470638","https://openalex.org/W1981714315","https://openalex.org/W1982759381","https://openalex.org/W1991035008","https://openalex.org/W1994234234","https://openalex.org/W2005879735","https://openalex.org/W2012740856","https://openalex.org/W2014958982","https://openalex.org/W2021884780","https://openalex.org/W2022016061","https://openalex.org/W2027202993","https://openalex.org/W2029480007","https://openalex.org/W2034785734","https://openalex.org/W2047081243","https://openalex.org/W2047509992","https://openalex.org/W2048658214","https://openalex.org/W2052049817","https://openalex.org/W2052453379","https://openalex.org/W2055608717","https://openalex.org/W2059534823","https://openalex.org/W2061543408","https://openalex.org/W2066658291","https://openalex.org/W2067328031","https://openalex.org/W2069344959","https://openalex.org/W2074951219","https://openalex.org/W2084400620","https://openalex.org/W2085220819","https://openalex.org/W2090818568","https://openalex.org/W2091182748","https://openalex.org/W2091235352","https://openalex.org/W2105096210","https://openalex.org/W2126046880","https://openalex.org/W2138425920","https://openalex.org/W2163866421","https://openalex.org/W2171904197","https://openalex.org/W2626034952","https://openalex.org/W3095064659","https://openalex.org/W3174791785","https://openalex.org/W3174847026","https://openalex.org/W3182086780","https://openalex.org/W3185226787","https://openalex.org/W3191333590","https://openalex.org/W3195902255","https://openalex.org/W3207794615","https://openalex.org/W3214914423","https://openalex.org/W4221100581","https://openalex.org/W4280540779","https://openalex.org/W4285088041","https://openalex.org/W4292487398","https://openalex.org/W4311951735","https://openalex.org/W4361306745","https://openalex.org/W4386011683","https://openalex.org/W4391943175","https://openalex.org/W4400095289","https://openalex.org/W4401630202","https://openalex.org/W4405142095","https://openalex.org/W4405200267","https://openalex.org/W6874223590"],"related_works":["https://openalex.org/W4401705154","https://openalex.org/W2027202993","https://openalex.org/W1986271025","https://openalex.org/W2093454438","https://openalex.org/W2027302355","https://openalex.org/W2913022803","https://openalex.org/W4415157610","https://openalex.org/W3216329107","https://openalex.org/W2337880144","https://openalex.org/W2595686925"],"abstract_inverted_index":{"This":[0,58,128],"paper":[1],"presents":[2],"a":[3,98,139,168],"unified":[4],"nonlocal":[5],"sinusoidal":[6],"shear":[7,26,34,37],"deformation":[8,35],"theory":[9],"to":[10,61,171],"comprehensively":[11],"analyze":[12],"nanobeam":[13,135],"bending,":[14,74],"buckling,":[15],"and":[16,25,32,42,50,80,94,126,141,146,176],"free":[17],"vibration.":[18],"The":[19,40,87,150],"proposed":[20],"model":[21],"effectively":[22],"distinguishes":[23],"bending":[24],"components,":[27],"accurately":[28],"capturing":[29],"small-scale":[30],"effects":[31,103],"transverse":[33],"without":[36],"correction":[38],"factors.":[39],"energy":[41],"governing":[43],"equations":[44],"were":[45,116],"derived":[46],"using":[47],"Hamilton's":[48],"principle":[49],"solved":[51],"analytically":[52],"through":[53],"the":[54,62,70,75,81,102,108,113,132,172],"Laplace":[55],"Transformation":[56],"method.":[57],"approach":[59],"led":[60],"exact":[63],"expressions":[64],"for":[65,73,78,84,144,155],"key":[66],"mechanical":[67,161],"responses,":[68],"including":[69],"displacement":[71],"equation":[72,83],"buckling":[76],"load":[77],"stability,":[79],"frequency":[82],"vibration":[85],"analysis.":[86],"results":[88],"are":[89,152],"extensively":[90],"presented":[91],"in":[92],"table":[93],"graphical":[95],"formats,":[96],"offering":[97],"detailed":[99],"study":[100,129],"of":[101,104,110,134,174],"various":[105],"parameters":[106],"on":[107],"behavior":[109],"nanobeams.":[111],"Furthermore,":[112],"model's":[114],"predictions":[115],"validated":[117],"against":[118],"existing":[119],"beam":[120],"theories,":[121],"demonstrating":[122],"its":[123],"enhanced":[124],"accuracy":[125],"robustness.":[127],"significantly":[130],"advances":[131],"understanding":[133],"mechanics":[136],"by":[137],"providing":[138],"powerful":[140],"versatile":[142],"framework":[143],"designing":[145],"analyzing":[147],"nanoscale":[148],"structures.":[149],"findings":[151],"particularly":[153],"relevant":[154],"applications":[156],"where":[157],"precise":[158],"control":[159],"over":[160],"properties":[162],"is":[163],"crucial,":[164],"making":[165],"this":[166],"work":[167],"valuable":[169],"contribution":[170],"field":[173],"nanotechnology":[175],"advanced":[177],"material":[178],"engineering.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":5}],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2025-02-05T00:00:00"}
