{"id":"https://openalex.org/W4310195628","doi":"https://doi.org/10.1080/15376494.2022.2142342","title":"Effect of two-dimensional material distribution on dynamic and buckling responses of graded ceramic-metal higher order beams with stretch effect","display_name":"Effect of two-dimensional material distribution on dynamic and buckling responses of graded ceramic-metal higher order beams with stretch effect","publication_year":2022,"publication_date":"2022-11-28","ids":{"openalex":"https://openalex.org/W4310195628","doi":"https://doi.org/10.1080/15376494.2022.2142342"},"language":"en","primary_location":{"id":"doi:10.1080/15376494.2022.2142342","doi":"https://doi.org/10.1080/15376494.2022.2142342","is_oa":false,"landing_page_url":"https://doi.org/10.1080/15376494.2022.2142342","pdf_url":null,"source":{"id":"https://openalex.org/S87569533","display_name":"Mechanics of Advanced Materials and Structures","issn_l":"1537-6494","issn":["1537-6494","1537-6532"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","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 of Advanced Materials and Structures","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/A5063184233","display_name":"Ismail Bensaid","orcid":"https://orcid.org/0000-0003-4316-0648","observed_orcids":["https://orcid.org/0000-0003-4316-0648"]},"institutions":[{"id":"https://openalex.org/I233209018","display_name":"University of Abou Bekr Belka\u00efd","ror":"https://ror.org/00jsjm362","country_code":"DZ","type":"education","lineage":["https://openalex.org/I233209018"]},{"id":"https://openalex.org/I4210100912","display_name":"Institut de Sciences des Mat\u00e9riaux de Mulhouse","ror":"https://ror.org/012wxdw12","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I2800745255","https://openalex.org/I4210100912","https://openalex.org/I4210128300"]}],"countries":["DZ","FR"],"is_corresponding":true,"raw_author_name":"Ismail Bensaid","raw_affiliation_strings":["IS2M Laboratory, Mechanical Engineering Department, Faculty of Technology, University Abou Beckr Beklaid (UABT), Tlemcen, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IS2M Laboratory, Mechanical Engineering Department, Faculty of Technology, University Abou Beckr Beklaid (UABT), Tlemcen, Algeria","institution_ids":["https://openalex.org/I233209018","https://openalex.org/I4210100912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028482847","display_name":"Ahmed Saimi","orcid":"https://orcid.org/0000-0002-3722-2526","observed_orcids":["https://orcid.org/0000-0002-3722-2526"]},"institutions":[{"id":"https://openalex.org/I233209018","display_name":"University of Abou Bekr Belka\u00efd","ror":"https://ror.org/00jsjm362","country_code":"DZ","type":"education","lineage":["https://openalex.org/I233209018"]},{"id":"https://openalex.org/I4210100912","display_name":"Institut de Sciences des Mat\u00e9riaux de Mulhouse","ror":"https://ror.org/012wxdw12","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I2800745255","https://openalex.org/I4210100912","https://openalex.org/I4210128300"]}],"countries":["DZ","FR"],"is_corresponding":false,"raw_author_name":"Ahmed Saimi","raw_affiliation_strings":["IS2M Laboratory, Mechanical Engineering Department, Faculty of Technology, University Abou Beckr Beklaid (UABT), Tlemcen, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IS2M Laboratory, Mechanical Engineering Department, Faculty of Technology, University Abou Beckr Beklaid (UABT), Tlemcen, Algeria","institution_ids":["https://openalex.org/I233209018","https://openalex.org/I4210100912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011252592","display_name":"\u00d6mer C\u00edvalek","orcid":"https://orcid.org/0000-0003-1907-9479","observed_orcids":["https://orcid.org/0000-0003-1907-9479"]},"institutions":[{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I197907453","display_name":"Akdeniz University","ror":"https://ror.org/01m59r132","country_code":"TR","type":"education","lineage":["https://openalex.org/I197907453"]},{"id":"https://openalex.org/I4210126829","display_name":"China Medical University Hospital","ror":"https://ror.org/0368s4g32","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I4210126829"]}],"countries":["TR","TW"],"is_corresponding":false,"raw_author_name":"\u00d6mer Civalek","raw_affiliation_strings":["Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan","Division of Mechanics, Civil Engineering Department, Akdeniz University, Antalya, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan","institution_ids":["https://openalex.org/I184693016","https://openalex.org/I4210126829"]},{"raw_affiliation_string":"Division of Mechanics, Civil Engineering Department, Akdeniz University, Antalya, Turkey","institution_ids":["https://openalex.org/I197907453"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5063184233"],"corresponding_institution_ids":["https://openalex.org/I233209018","https://openalex.org/I4210100912"],"apc_list":null,"apc_paid":null,"fwci":1.7229,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.81197126,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"31","issue":"8","first_page":"1760","last_page":"1776"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9970999956130981,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9970999956130981,"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/T11646","display_name":"Nonlocal and gradient elasticity in micro/nano structures","score":0.0024999999441206455,"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/T11096","display_name":"Aeroelasticity and Vibration Control","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/higher-order-shear-deformation-theory","display_name":"higher-order shear deformation theory","score":0.7580000162124634},{"id":"https://openalex.org/keywords/stretch-effects","display_name":"stretch effects","score":0.6740000247955322},{"id":"https://openalex.org/keywords/free-vibration","display_name":"free vibration","score":0.8960000276565552},{"id":"https://openalex.org/keywords/buckling","display_name":"buckling","score":0.8650000095367432},{"id":"https://openalex.org/keywords/natural-frequencies","display_name":"natural frequencies","score":0.9869999885559082},{"id":"https://openalex.org/keywords/boundary-conditions","display_name":"boundary conditions","score":0.7120000123977661},{"id":"https://openalex.org/keywords/porosity","display_name":"porosity","score":0.7620000243186951},{"id":"https://openalex.org/keywords/power-law-gradation","display_name":"power-law gradation","score":0.8740000128746033}],"concepts":[{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.7122278809547424},{"id":"https://openalex.org/C29314403","wikidata":"https://www.wikidata.org/wiki/Q15637103","display_name":"Gradation","level":2,"score":0.6169373989105225},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.57795649766922},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.5403990149497986},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.4845384955406189},{"id":"https://openalex.org/C31555180","wikidata":"https://www.wikidata.org/wiki/Q3523867","display_name":"Material properties","level":2,"score":0.46067556738853455},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.45226895809173584},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.44618457555770874},{"id":"https://openalex.org/C154954056","wikidata":"https://www.wikidata.org/wiki/Q1604164","display_name":"Transverse plane","level":2,"score":0.43181464076042175},{"id":"https://openalex.org/C85476182","wikidata":"https://www.wikidata.org/wiki/Q693104","display_name":"Buckling","level":2,"score":0.4138701558113098},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4119395315647125},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.38368189334869385},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35607683658599854},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3339061141014099},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3310416042804718},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1526148021221161},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14330413937568665},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12473735213279724},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10699290037155151},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.09507381916046143},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0904364287853241},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/15376494.2022.2142342","doi":"https://doi.org/10.1080/15376494.2022.2142342","is_oa":false,"landing_page_url":"https://doi.org/10.1080/15376494.2022.2142342","pdf_url":null,"source":{"id":"https://openalex.org/S87569533","display_name":"Mechanics of Advanced Materials and Structures","issn_l":"1537-6494","issn":["1537-6494","1537-6532"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","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 of Advanced Materials and Structures","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W316246272","https://openalex.org/W1061969702","https://openalex.org/W1132403050","https://openalex.org/W1149197489","https://openalex.org/W1149333185","https://openalex.org/W1969151035","https://openalex.org/W1979476354","https://openalex.org/W1985041089","https://openalex.org/W1985655323","https://openalex.org/W1989999879","https://openalex.org/W1996935227","https://openalex.org/W2004059794","https://openalex.org/W2010859228","https://openalex.org/W2035318648","https://openalex.org/W2041407833","https://openalex.org/W2044675897","https://openalex.org/W2063129809","https://openalex.org/W2063556443","https://openalex.org/W2065779196","https://openalex.org/W2067333960","https://openalex.org/W2073005612","https://openalex.org/W2073828309","https://openalex.org/W2107300072","https://openalex.org/W2112559156","https://openalex.org/W2123870178","https://openalex.org/W2124137003","https://openalex.org/W2125023642","https://openalex.org/W2126369485","https://openalex.org/W2132165664","https://openalex.org/W2140855608","https://openalex.org/W2142263219","https://openalex.org/W2155897712","https://openalex.org/W2166864868","https://openalex.org/W2198437272","https://openalex.org/W2336676381","https://openalex.org/W2510224654","https://openalex.org/W2519665915","https://openalex.org/W2544757707","https://openalex.org/W2601713467","https://openalex.org/W2606523051","https://openalex.org/W2797522104","https://openalex.org/W2808103921","https://openalex.org/W2916984235","https://openalex.org/W2955591001","https://openalex.org/W2961023474","https://openalex.org/W3024668840","https://openalex.org/W3101201201","https://openalex.org/W3153212902","https://openalex.org/W3154435848","https://openalex.org/W3162378875","https://openalex.org/W3167998087","https://openalex.org/W3195952207","https://openalex.org/W3202354129","https://openalex.org/W3211326071","https://openalex.org/W3217091585","https://openalex.org/W3217543908","https://openalex.org/W4221100581","https://openalex.org/W4250713030","https://openalex.org/W4283168743","https://openalex.org/W4285600992","https://openalex.org/W4285807101"],"related_works":["https://openalex.org/W4368371420","https://openalex.org/W4388829694","https://openalex.org/W3196850368","https://openalex.org/W2797522104","https://openalex.org/W2336676381","https://openalex.org/W2986187403","https://openalex.org/W3084855583","https://openalex.org/W1061969702","https://openalex.org/W6938949839","https://openalex.org/W3003888672"],"abstract_inverted_index":{"The":[0,24,45,113,151],"contribution":[1],"provided":[2],"in":[3,33,70,126,147],"this":[4],"article":[5],"is":[6,68,88],"to":[7,51,72,97,184,203],"examine":[8],"free":[9],"vibration":[10],"and":[11,59,93,103,119,139,189,197],"stability":[12,101,200],"response":[13],"of":[14,29,77,106,123,131,153,174,199],"bidirectional":[15],"graded":[16,164],"material":[17,179],"beams":[18,167,207],"(BDFB)":[19],"considering":[20],"different":[21],"boundary":[22,144],"conditions.":[23],"stretch":[25],"effect":[26],"by":[27],"means":[28],"a":[30],"normal":[31],"deformation":[32,38],"conjunction":[34],"with":[35,128,142],"the":[36,57,74,99,110,124,129,132,154,158,172,194,204],"shear":[37],"influence":[39],"are":[40,49,208],"integrated":[41],"for":[42,109,135,161],"accurate":[43,94,149],"results.":[44,150],"beam":[46,108],"materials":[47,165],"features":[48,116],"expected":[50],"depend":[52],"on":[53,193],"gradation":[54],"pattern":[55],"over":[56],"length":[58,183],"transverse":[60],"directions":[61],"via":[62],"power":[63],"law":[64],"form.":[65],"Lagrange\u2019s":[66],"principle":[67],"employed":[69],"order":[71],"extract":[73],"governing":[75],"equations":[76],"motion.":[78],"A":[79],"novel":[80],"approach":[81,114,160],"namely":[82],"differential":[83],"quadrature-based":[84],"Galerkin":[85,133],"method":[86,134],"(DQGM)":[87],"used":[89],"as":[90,178],"an":[91],"effective":[92],"semi-analytical":[95],"tool":[96],"compute":[98],"critical":[100],"loads":[102,201],"natural":[104,195],"frequencies":[105,196],"(BD-FG)":[107],"first":[111],"time.":[112],"takes":[115],"from":[117,157],"simplicity":[118],"reduced":[120],"computational":[121],"cost":[122],"DQ":[125],"combination":[127],"efficacy":[130],"its":[136],"analytical":[137],"aspect":[138],"easy":[140],"dealing":[141],"mixed":[143],"conditions":[145],"resulting":[146],"more":[148],"correctness":[152],"results":[155],"obtained":[156],"present":[159,205],"two-directional":[162],"functionally":[163],"(FGMs)":[166],"have":[168],"been":[169],"verified.":[170],"Finally,":[171],"impacts":[173],"design":[175],"parameters":[176],"such":[177],"grading":[180],"exponent":[181],"distributions,":[182],"thickness":[185],"ratios,":[186],"porosity":[187],"amount,":[188],"end":[190],"support":[191],"types":[192],"maximum":[198],"related":[202],"2D-FGM":[206],"examined.":[209]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2022-11-30T00:00:00"}