{"id":"https://openalex.org/W4200401985","doi":"https://doi.org/10.34117/bjdv7n11-315","title":"Modeling the subcritical spread of cracks grown by fatigue / Modelando a propaga\u00e7\u00e3o subcr\u00edtica de rachaduras crescidas por fadiga","display_name":"Modeling the subcritical spread of cracks grown by fatigue / Modelando a propaga\u00e7\u00e3o subcr\u00edtica de rachaduras crescidas por fadiga","publication_year":2021,"publication_date":"2021-11-19","ids":{"openalex":"https://openalex.org/W4200401985","doi":"https://doi.org/10.34117/bjdv7n11-315"},"language":"en","primary_location":{"id":"doi:10.34117/bjdv7n11-315","doi":"https://doi.org/10.34117/bjdv7n11-315","is_oa":true,"landing_page_url":"https://doi.org/10.34117/bjdv7n11-315","pdf_url":null,"source":{"id":"https://openalex.org/S4210234566","display_name":"Brazilian Journal of Development","issn_l":"2525-8761","issn":["2525-8761"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310312106","host_organization_name":"Brazilian Journal of Development","host_organization_lineage":["https://openalex.org/P4310312106"],"host_organization_lineage_names":["Brazilian Journal of Development"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Brazilian Journal of Development","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W4200401985"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.34117/bjdv7n11-315","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079162719","display_name":"Manuel Emiliano Esteves Pairazam\u00e1n","orcid":"https://orcid.org/0000-0001-9456-5384","observed_orcids":["https://orcid.org/0000-0001-9456-5384"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Manuel Emiliano Esteves Pairazam\u00e1n","raw_affiliation_strings":["Brazilian Journals Publica\u00e7\u00f5es de Peri\u00f3dicos, S\u00e3o Jos\u00e9 dos Pinhais, Paran\u00e1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Brazilian Journals Publica\u00e7\u00f5es de Peri\u00f3dicos, S\u00e3o Jos\u00e9 dos Pinhais, Paran\u00e1","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061483665","display_name":"Ar\u00edstides T\u00e1vara Aponte","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ar\u00edstides T\u00e1vara Aponte","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026867864","display_name":"Luis Alberto Rabanal Ramirez","orcid":"https://orcid.org/0000-0003-2123-2487","observed_orcids":["https://orcid.org/0000-0003-2123-2487"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luis Alberto Rabanal Ramirez","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089941562","display_name":"Wilfredo Javier Valdivia Rojas","orcid":"https://orcid.org/0000-0002-2866-0196","observed_orcids":["https://orcid.org/0000-0002-2866-0196"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wilfredo Javier Valdivia Rojas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080201560","display_name":"Yovana Torres Gonzales","orcid":"https://orcid.org/0000-0002-8486-8637","observed_orcids":["https://orcid.org/0000-0002-8486-8637"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yovana Torres Gonzales","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062745032","display_name":"Johnnathan Ruber Vilcapoma Ju\u00f1o","orcid":"https://orcid.org/0000-0002-0714-4440","observed_orcids":["https://orcid.org/0000-0002-0714-4440"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Johnnathan Ruber Vilcapoma Ju\u00f1o","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5029409464","display_name":"Andr\u00e9s Z\u00f3simo \u00d1ahui Gaspar","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andr\u00e9s Zosimo \u00d1ahui Gaspar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"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":"7","issue":"11","first_page":"106176","last_page":"106190"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10396","display_name":"Fatigue and fracture mechanics","score":0.9994999766349792,"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/T10396","display_name":"Fatigue and fracture mechanics","score":0.9994999766349792,"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/T10219","display_name":"Mechanical Behavior of Composites","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"}},{"id":"https://openalex.org/T10736","display_name":"Hydrogen embrittlement and corrosion behaviors in metals","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2506","display_name":"Metals and Alloys"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subcritical-crack-growth","display_name":"subcritical crack growth","score":0.8899999856948853},{"id":"https://openalex.org/keywords/fatigue-crack-growth","display_name":"fatigue crack growth","score":0.9049999713897705},{"id":"https://openalex.org/keywords/paris-law","display_name":"Paris law","score":0.6169999837875366},{"id":"https://openalex.org/keywords/stress-intensity-factor","display_name":"stress intensity factor","score":0.8519999980926514},{"id":"https://openalex.org/keywords/fracture-toughness","display_name":"fracture toughness","score":0.6650000214576721},{"id":"https://openalex.org/keywords/astm-a36-steel","display_name":"ASTM A36 steel","score":0.7390000224113464},{"id":"https://openalex.org/keywords/three-point-bending","display_name":"three-point bending","score":0.6399999856948853},{"id":"https://openalex.org/keywords/crack-growth-rate","display_name":"crack growth rate","score":0.671999990940094}],"concepts":[{"id":"https://openalex.org/C54303661","wikidata":"https://www.wikidata.org/wiki/Q1754376","display_name":"Stress intensity factor","level":3,"score":0.6811798214912415},{"id":"https://openalex.org/C59085676","wikidata":"https://www.wikidata.org/wiki/Q957852","display_name":"Fracture mechanics","level":2,"score":0.6646525263786316},{"id":"https://openalex.org/C97549433","wikidata":"https://www.wikidata.org/wiki/Q911969","display_name":"Fracture toughness","level":2,"score":0.6385456323623657},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.6127969622612},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.5102291107177734},{"id":"https://openalex.org/C87210426","wikidata":"https://www.wikidata.org/wiki/Q1072476","display_name":"Bending","level":2,"score":0.479773610830307},{"id":"https://openalex.org/C15469602","wikidata":"https://www.wikidata.org/wiki/Q1783614","display_name":"Concentrator","level":2,"score":0.4730769097805023},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43587151169776917},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.43555331230163574},{"id":"https://openalex.org/C29320194","wikidata":"https://www.wikidata.org/wiki/Q7201019","display_name":"Plane stress","level":3,"score":0.4312150478363037},{"id":"https://openalex.org/C28539199","wikidata":"https://www.wikidata.org/wiki/Q542690","display_name":"Stress concentration","level":3,"score":0.42690175771713257},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42112284898757935},{"id":"https://openalex.org/C43369102","wikidata":"https://www.wikidata.org/wiki/Q2307625","display_name":"Fracture (geology)","level":2,"score":0.41861778497695923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27086955308914185},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.248031347990036},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2275477945804596},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21895581483840942},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1794813871383667},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.14369332790374756},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.13341861963272095},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.34117/bjdv7n11-315","doi":"https://doi.org/10.34117/bjdv7n11-315","is_oa":true,"landing_page_url":"https://doi.org/10.34117/bjdv7n11-315","pdf_url":null,"source":{"id":"https://openalex.org/S4210234566","display_name":"Brazilian Journal of Development","issn_l":"2525-8761","issn":["2525-8761"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310312106","host_organization_name":"Brazilian Journal of Development","host_organization_lineage":["https://openalex.org/P4310312106"],"host_organization_lineage_names":["Brazilian Journal of Development"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Brazilian Journal of Development","raw_type":"journal-article"},{"id":"pmh:oai:ojs2.ojs.brazilianjournals.com.br:article/39827","doi":null,"is_oa":false,"landing_page_url":"https://ojs.brazilianjournals.com.br/ojs/index.php/BRJD/article/view/39827","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"instacron:VERACRUZ","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.34117/bjdv7n11-315","doi":"https://doi.org/10.34117/bjdv7n11-315","is_oa":true,"landing_page_url":"https://doi.org/10.34117/bjdv7n11-315","pdf_url":null,"source":{"id":"https://openalex.org/S4210234566","display_name":"Brazilian Journal of Development","issn_l":"2525-8761","issn":["2525-8761"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310312106","host_organization_name":"Brazilian Journal of Development","host_organization_lineage":["https://openalex.org/P4310312106"],"host_organization_lineage_names":["Brazilian Journal of Development"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Brazilian Journal of Development","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4390757194","https://openalex.org/W4288052553","https://openalex.org/W7064006361","https://openalex.org/W2898588272","https://openalex.org/W2066350343","https://openalex.org/W2966584423","https://openalex.org/W2110476812","https://openalex.org/W2063608282","https://openalex.org/W2057277603","https://openalex.org/W2051222161"],"abstract_inverted_index":{"The":[0],"objective":[1],"of":[2,12,21,33,68,91,166,170,178,184,192,196],"this":[3,110,151],"article":[4],"is":[5,59,142,154,212],"to":[6,36,45,129,156,204,232],"mathematically":[7],"model":[8,202,211],"the":[9,31,34,43,48,74,83,89,92,95,105,119,131,135,163,167,175,179,185,193,205,209,215,218,233],"subcritical":[10,66,168],"propagation":[11,67,169],"fatigue-grown":[13],"cracks.":[14],"Three":[15],"fatigue":[16,54,69],"specimens":[17],"were":[18,28,116],"used,":[19],"made":[20],"ASTM":[22],"A":[23,51],"36":[24],"structural":[25],"steel,":[26],"which":[27,58,87,141,173,200],"notched":[29],"in":[30,47,148,238],"center":[32],"specimen":[35],"simulate":[37],"a":[38,98,158,171,182,190,201],"stress":[39,132],"concentrator,":[40],"and":[41,78,104,118,128,225],"for":[42,208,217],"crack":[44,120,124,180],"propagate":[46],"same":[49],"plane.":[50],"three-point":[52],"bending":[53],"machine":[55],"was":[56,71,80,102,112,126,139],"used":[57],"equipped":[60],"with":[61,82,214],"computer":[62],"data":[63,96],"acquisition":[64],"equipment.The":[65],"cracks":[70],"monitored,":[72],"using":[73],"strain":[75],"gage":[76],"technique,":[77],"it":[79,153],"verified":[81,144],"beach":[84],"marking":[85],"technique;":[86],"guaranteed":[88],"reliability":[90],"method.":[93],"With":[94,199],"obtained,":[97],"vs":[99],"N":[100],"graph":[101],"made,":[103],"empirical":[106],"equation":[107],"that":[108,161,229],"governs":[109],"phenomenon":[111],"found;":[113],"Likewise,":[114],"derivatives":[115],"applied":[117],"advance":[121,176],"speed":[122,177],"versus":[123],"size":[125],"calculated;":[127],"calculate":[130],"intensity":[133,194],"factor,":[134],"Newman":[136],"Raju":[137],"method":[138],"applied,":[140],"being":[143],"by":[145,236],"many":[146],"researchers":[147,237],"recent":[149],"years.In":[150],"way,":[152],"possible":[155],"find":[157],"mathematical":[159],"expression":[160],"modulates":[162],"fracto-mechanical":[164],"behavior":[165],"crack,":[172],"relates":[174],"as":[181,189],"function":[183,191],"fracture":[186],"toughness":[187],"evaluated":[188],"factor":[195],"tensions":[197],"K.":[198],"similar":[203,239],"one":[206],"proposed":[207],"Paris":[210],"achieved,":[213],"values":[216,234],"parameters":[219],"C":[220],"=":[221,227],"m":[222,226],"/":[223],"Cycle":[224],"2.0252":[228],"are":[230],"close":[231],"obtained":[235],"materials.":[240]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2021-12-31T00:00:00"}