{"id":"https://openalex.org/W4387622976","doi":"https://doi.org/10.3934/matersci.2023048","title":"Investigating parametric homogenization models for natural frequency of FGM nano beams","display_name":"Investigating parametric homogenization models for natural frequency of FGM nano beams","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4387622976","doi":"https://doi.org/10.3934/matersci.2023048"},"language":"en","primary_location":{"id":"doi:10.3934/matersci.2023048","doi":"https://doi.org/10.3934/matersci.2023048","is_oa":true,"landing_page_url":"https://doi.org/10.3934/matersci.2023048","pdf_url":"http://www.aimspress.com/aimspress-data/aimsmates/2023/5/PDF/matersci-10-05-048.pdf","source":{"id":"https://openalex.org/S4210234426","display_name":"AIMS Materials Science","issn_l":"2372-0468","issn":["2372-0468","2372-0484"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","oarl","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310315842","host_organization_name":"AIMS Press","host_organization_lineage":["https://openalex.org/P4310315842"],"host_organization_lineage_names":["AIMS Press"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIMS Materials Science","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://www.aimspress.com/aimspress-data/aimsmates/2023/5/PDF/matersci-10-05-048.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023017867","display_name":"Abdelhak Berkia","orcid":"https://orcid.org/0009-0002-2466-1148","observed_orcids":["https://orcid.org/0009-0002-2466-1148"]},"institutions":[{"id":"https://openalex.org/I4210130929","display_name":"Abb\u00e8s Laghrour University of Khenchela","ror":"https://ror.org/02yyskm09","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210130929"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Abdelhak Berkia","raw_affiliation_strings":["Faculty of Sciences & Technology, Mechanical Eng Department, University Abbes Laghrour Khenchela, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Sciences & Technology, Mechanical Eng Department, University Abbes Laghrour Khenchela, Algeria","institution_ids":["https://openalex.org/I4210130929"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071770689","display_name":"Billel Rebai","orcid":"https://orcid.org/0000-0003-3739-2784","observed_orcids":["https://orcid.org/0000-0003-3739-2784"]},"institutions":[{"id":"https://openalex.org/I4210130929","display_name":"Abb\u00e8s Laghrour University of Khenchela","ror":"https://ror.org/02yyskm09","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210130929"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Billel Rebai","raw_affiliation_strings":["Faculty of Sciences & Technology, Civil Eng Department, University Abbes Laghrour Khenchela, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Sciences & Technology, Civil Eng Department, University Abbes Laghrour Khenchela, Algeria","institution_ids":["https://openalex.org/I4210130929"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039849305","display_name":"Bilal Litouche","orcid":"https://orcid.org/0009-0002-9610-6928","observed_orcids":["https://orcid.org/0009-0002-9610-6928"]},"institutions":[{"id":"https://openalex.org/I4210155582","display_name":"Centre Universitaire de Mila","ror":"https://ror.org/05s3cw058","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210155582"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Bilal Litouche","raw_affiliation_strings":["Mechanic and Electro-Mechanic Department, University Center Abdelhafid Boussouf, Mila, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanic and Electro-Mechanic Department, University Center Abdelhafid Boussouf, Mila, Algeria","institution_ids":["https://openalex.org/I4210155582"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088854299","display_name":"Soufiane Abbas","orcid":"https://orcid.org/0009-0009-7485-0407","observed_orcids":["https://orcid.org/0009-0009-7485-0407"]},"institutions":[{"id":"https://openalex.org/I4210125514","display_name":"Universit\u00e9 Djilali de Sidi Bel Abb\u00e8s","ror":"https://ror.org/0378szg41","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210125514"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Soufiane Abbas","raw_affiliation_strings":["LMRS Laboratory, Faculty of Technology, University of Sidi Bel Abbes, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMRS Laboratory, Faculty of Technology, University of Sidi Bel Abbes, Algeria","institution_ids":["https://openalex.org/I4210125514"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102705617","display_name":"Khelifa Mansouri","orcid":"https://orcid.org/0000-0002-8523-6578","observed_orcids":["https://orcid.org/0000-0002-8523-6578"]},"institutions":[{"id":"https://openalex.org/I4210125514","display_name":"Universit\u00e9 Djilali de Sidi Bel Abb\u00e8s","ror":"https://ror.org/0378szg41","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210125514"]},{"id":"https://openalex.org/I4210130929","display_name":"Abb\u00e8s Laghrour University of Khenchela","ror":"https://ror.org/02yyskm09","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210130929"]},{"id":"https://openalex.org/I4210155582","display_name":"Centre Universitaire de Mila","ror":"https://ror.org/05s3cw058","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210155582"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Khelifa Mansouri","raw_affiliation_strings":["Faculty of Sciences & Technology, Mechanical Eng Department, University Abbes Laghrour Khenchela, Algeria","Laboratory of Eng and Sciences of Advanced Materials (ISMA), Khenchela, Algeria","Faculty of Sciences & Technology, Civil Eng Department, University Abbes Laghrour Khenchela, Algeria","LMRS Laboratory, Faculty of Technology, University of Sidi Bel Abbes, Algeria","Mechanic and Electro-Mechanic Department, University Center Abdelhafid Boussouf, Mila, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Sciences & Technology, Mechanical Eng Department, University Abbes Laghrour Khenchela, Algeria","institution_ids":["https://openalex.org/I4210130929"]},{"raw_affiliation_string":"Laboratory of Eng and Sciences of Advanced Materials (ISMA), Khenchela, Algeria","institution_ids":["https://openalex.org/I4210130929"]},{"raw_affiliation_string":"Faculty of Sciences & Technology, Civil Eng Department, University Abbes Laghrour Khenchela, Algeria","institution_ids":["https://openalex.org/I4210130929"]},{"raw_affiliation_string":"LMRS Laboratory, Faculty of Technology, University of Sidi Bel Abbes, Algeria","institution_ids":["https://openalex.org/I4210125514"]},{"raw_affiliation_string":"Mechanic and Electro-Mechanic Department, University Center Abdelhafid Boussouf, Mila, Algeria","institution_ids":["https://openalex.org/I4210155582"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102705617"],"corresponding_institution_ids":["https://openalex.org/I4210125514","https://openalex.org/I4210130929","https://openalex.org/I4210155582"],"apc_list":{"value":300,"currency":"USD","value_usd":300},"apc_paid":{"value":300,"currency":"USD","value_usd":300},"fwci":1.0954,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.68025353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"10","issue":"5","first_page":"891","last_page":"908"},"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":0.9980000257492065,"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":0.9980000257492065,"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":0.0012000000569969416,"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":0.00019999999494757503,"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/free-vibration","display_name":"free vibration","score":0.8870000243186951},{"id":"https://openalex.org/keywords/natural-frequencies","display_name":"natural frequencies","score":0.7149999737739563},{"id":"https://openalex.org/keywords/reuss","display_name":"Reuss River","score":0.9570000171661377},{"id":"https://openalex.org/keywords/voigt","display_name":"Voigt","score":0.9580000042915344},{"id":"https://openalex.org/keywords/higher-order-shear-deformation-theory","display_name":"higher-order shear deformation theory","score":0.777999997138977},{"id":"https://openalex.org/keywords/eringen-nonlocal-elasticity","display_name":"Eringen nonlocal elasticity","score":0.7590000033378601},{"id":"https://openalex.org/keywords/length-scale-parameter","display_name":"length scale parameter","score":0.7749999761581421},{"id":"https://openalex.org/keywords/small-size-effect","display_name":"small-scale effects","score":0.8600000143051147},{"id":"https://openalex.org/keywords/effective-properties","display_name":"effective properties","score":0.6119999885559082},{"id":"https://openalex.org/keywords/simply-supported-beams","display_name":"simply supported beams","score":0.7770000100135803},{"id":"https://openalex.org/keywords/analytical-solution","display_name":"analytical solution","score":0.4860000014305115},{"id":"https://openalex.org/keywords/beam-aspect-ratio","display_name":"beam aspect ratio","score":0.8109999895095825}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.90712970495224},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.6587269306182861},{"id":"https://openalex.org/C2780357685","wikidata":"https://www.wikidata.org/wiki/Q154357","display_name":"Nano-","level":2,"score":0.6219300031661987},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6114308834075928},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.5389379262924194},{"id":"https://openalex.org/C11135259","wikidata":"https://www.wikidata.org/wiki/Q2477027","display_name":"Length scale","level":2,"score":0.4551314413547516},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.44426313042640686},{"id":"https://openalex.org/C78736273","wikidata":"https://www.wikidata.org/wiki/Q946764","display_name":"Natural frequency","level":3,"score":0.4338865876197815},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.43332868814468384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41069167852401733},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3676934540271759},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3319806158542633},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.32357358932495117},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.27103835344314575},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.21559900045394897},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.1279609203338623},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3934/matersci.2023048","doi":"https://doi.org/10.3934/matersci.2023048","is_oa":true,"landing_page_url":"https://doi.org/10.3934/matersci.2023048","pdf_url":"http://www.aimspress.com/aimspress-data/aimsmates/2023/5/PDF/matersci-10-05-048.pdf","source":{"id":"https://openalex.org/S4210234426","display_name":"AIMS Materials Science","issn_l":"2372-0468","issn":["2372-0468","2372-0484"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","oarl","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310315842","host_organization_name":"AIMS Press","host_organization_lineage":["https://openalex.org/P4310315842"],"host_organization_lineage_names":["AIMS Press"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIMS Materials Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1138affc03ce47b4950696a33a55040a","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/1138affc03ce47b4950696a33a55040a","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":"AIMS Materials Science, Vol 10, Iss 5, Pp 891-908 (2023)","raw_type":"article"},{"id":"doi:10.60692/aq9tg-h6315","doi":"https://doi.org/10.60692/aq9tg-h6315","is_oa":true,"landing_page_url":"https://doi.org/10.60692/aq9tg-h6315","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.60692/yefmj-e4759","doi":"https://doi.org/10.60692/yefmj-e4759","is_oa":true,"landing_page_url":"https://doi.org/10.60692/yefmj-e4759","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.3934/matersci.2023048","doi":"https://doi.org/10.3934/matersci.2023048","is_oa":true,"landing_page_url":"https://doi.org/10.3934/matersci.2023048","pdf_url":"http://www.aimspress.com/aimspress-data/aimsmates/2023/5/PDF/matersci-10-05-048.pdf","source":{"id":"https://openalex.org/S4210234426","display_name":"AIMS Materials Science","issn_l":"2372-0468","issn":["2372-0468","2372-0484"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","oarl","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310315842","host_organization_name":"AIMS Press","host_organization_lineage":["https://openalex.org/P4310315842"],"host_organization_lineage_names":["AIMS Press"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AIMS Materials Science","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387622976.pdf","grobid_xml":"https://content.openalex.org/works/W4387622976.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W1971717868","https://openalex.org/W1985755927","https://openalex.org/W1989292230","https://openalex.org/W2005725951","https://openalex.org/W2021884780","https://openalex.org/W2026048489","https://openalex.org/W2029158180","https://openalex.org/W2034785734","https://openalex.org/W2065334714","https://openalex.org/W2069344959","https://openalex.org/W2071434224","https://openalex.org/W2072954894","https://openalex.org/W2085220819","https://openalex.org/W2126046880","https://openalex.org/W2138425920","https://openalex.org/W2147699377","https://openalex.org/W2339817631","https://openalex.org/W2591410365","https://openalex.org/W2601616753","https://openalex.org/W2614400221","https://openalex.org/W2765699492","https://openalex.org/W2791515873","https://openalex.org/W2793232970","https://openalex.org/W2795505466","https://openalex.org/W2800026140","https://openalex.org/W2808923030","https://openalex.org/W2917966067","https://openalex.org/W2932108407","https://openalex.org/W2934448330","https://openalex.org/W2948527938","https://openalex.org/W2952615730","https://openalex.org/W2972707497","https://openalex.org/W3014298284","https://openalex.org/W3033064429","https://openalex.org/W3083830242","https://openalex.org/W3097930963","https://openalex.org/W3110688296","https://openalex.org/W3120810098","https://openalex.org/W3127798798","https://openalex.org/W3138594561","https://openalex.org/W3176908837","https://openalex.org/W3195902255","https://openalex.org/W3201184866","https://openalex.org/W3214914423","https://openalex.org/W3215246865","https://openalex.org/W4220907245","https://openalex.org/W4221100581","https://openalex.org/W4280540779","https://openalex.org/W4283789443","https://openalex.org/W4285600992","https://openalex.org/W4289767100","https://openalex.org/W4309905124","https://openalex.org/W4311951735","https://openalex.org/W4313439825","https://openalex.org/W4323251346","https://openalex.org/W4323362971"],"related_works":["https://openalex.org/W3004256258","https://openalex.org/W3017060376","https://openalex.org/W4390650041","https://openalex.org/W2218285110","https://openalex.org/W2503181294","https://openalex.org/W2518091357","https://openalex.org/W6964047306","https://openalex.org/W2963590724","https://openalex.org/W2888699186","https://openalex.org/W3028833071"],"abstract_inverted_index":{"This":[0,41],"research":[1,104],"focuses":[2],"on":[3,123],"exploring":[4],"the":[5,16,20,27,30,51,70,107,113,124,128],"free":[6],"vibration":[7],"behavior":[8],"of":[9,19,54,61,78,109,127],"functionally":[10],"graded":[11],"(FG)":[12],"nano-beams.":[13],"To":[14],"calculate":[15],"effective":[17],"properties":[18],"FG":[21,95,129],"nano-beam,":[22],"which":[23],"varies":[24],"solely":[25],"in":[26,67],"thickness":[28],"direction,":[29],"four":[31],"homogenization":[32,111],"schemes":[33],"Mori-Tanaka,":[34],"Tamura,":[35],"Reuss":[36],"and":[37,49,97,119],"Voigt":[38],"are":[39,89],"employed.":[40],"study":[42],"employs":[43],"high-order":[44],"shear":[45],"deformation":[46],"nano-beam":[47,96],"theory":[48],"derives":[50],"governing":[52],"equations":[53],"motion":[55],"using":[56],"nonlocal":[57,114],"differential":[58],"constitutive":[59],"relations":[60],"Eringen.":[62],"Hamilton's":[63],"principle":[64],"is":[65],"utilized":[66],"conjunction":[68],"with":[69,99],"refined":[71],"three":[72],"variables":[73],"beam":[74,116],"theory.":[75],"The":[76,103],"consideration":[77],"a":[79,92],"length":[80],"scale":[81],"parameter":[82],"accounts":[83],"for":[84,91],"small-scale":[85],"effects.":[86],"Analytical":[87],"solutions":[88],"obtained":[90],"simply":[93],"supported":[94],"compared":[98],"existing":[100],"literature":[101],"solutions.":[102],"also":[105],"investigates":[106],"influence":[108],"different":[110],"schemes,":[112],"parameter,":[115],"aspect":[117],"ratio":[118],"various":[120],"material":[121],"compositions":[122],"dynamic":[125],"response":[126],"nano-beam.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2023-10-14T00:00:00"}
