{"id":"https://openalex.org/W2028895192","doi":"https://doi.org/10.1098/rspa.2008.0077","title":"On radial crack and half-penny crack induced by Vickers indentation","display_name":"On radial crack and half-penny crack induced by Vickers indentation","publication_year":2008,"publication_date":"2008-06-17","ids":{"openalex":"https://openalex.org/W2028895192","doi":"https://doi.org/10.1098/rspa.2008.0077","mag":"2028895192"},"language":"en","primary_location":{"id":"doi:10.1098/rspa.2008.0077","doi":"https://doi.org/10.1098/rspa.2008.0077","is_oa":false,"landing_page_url":"https://doi.org/10.1098/rspa.2008.0077","pdf_url":null,"source":{"id":"https://openalex.org/S3006183880","display_name":"Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences","issn_l":"1364-5021","issn":["1364-5021","1471-2946"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319787","host_organization_name":"Royal Society","host_organization_lineage":["https://openalex.org/P4310319787"],"host_organization_lineage_names":["Royal Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","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/A5044430730","display_name":"Yuye Tang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuye Tang","raw_affiliation_strings":["Department of Civil Engineering and Engineering Mechanics, Columbia UniversityNew York, NY 10027, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering and Engineering Mechanics, Columbia UniversityNew York, NY 10027, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070937669","display_name":"Akio Yonezu","orcid":"https://orcid.org/0000-0002-8324-6780","observed_orcids":["https://orcid.org/0000-0002-8324-6780"]},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akio Yonezu","raw_affiliation_strings":["Department of Mechanical Engineering, Osaka University2-1 Yamadaoka, Suita-shi, Osaka 565-0871, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Osaka University2-1 Yamadaoka, Suita-shi, Osaka 565-0871, Japan","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110052525","display_name":"Nagahisa OGASAWARA","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I443798","display_name":"National Defense Academy of Japan","ror":"https://ror.org/05xszy717","country_code":"JP","type":"education","lineage":["https://openalex.org/I443798"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Nagahisa Ogasawara","raw_affiliation_strings":["Department Mechanical Engineering, National Defense Academy1-10-20 Hashirimizu, Yokosuka, Kanagawa 239-8686, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department Mechanical Engineering, National Defense Academy1-10-20 Hashirimizu, Yokosuka, Kanagawa 239-8686, Japan","institution_ids":["https://openalex.org/I443798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108550461","display_name":"Norimasa Chiba","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I443798","display_name":"National Defense Academy of Japan","ror":"https://ror.org/05xszy717","country_code":"JP","type":"education","lineage":["https://openalex.org/I443798"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Norimasa Chiba","raw_affiliation_strings":["Department Mechanical Engineering, National Defense Academy1-10-20 Hashirimizu, Yokosuka, Kanagawa 239-8686, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department Mechanical Engineering, National Defense Academy1-10-20 Hashirimizu, Yokosuka, Kanagawa 239-8686, Japan","institution_ids":["https://openalex.org/I443798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100329996","display_name":"Xi Chen","orcid":"https://orcid.org/0000-0002-8911-4172","observed_orcids":["https://orcid.org/0000-0002-8911-4172","https://orcid.org/0000-0002-1263-1024","https://orcid.org/0000-0003-1896-9007","https://orcid.org/0000-0003-3922-3474","https://orcid.org/0000-0003-4210-1873","https://orcid.org/0009-0005-7150-4526"]},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xi Chen","raw_affiliation_strings":["Department of Civil Engineering and Engineering Mechanics, Columbia UniversityNew York, NY 10027, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering and Engineering Mechanics, Columbia UniversityNew York, NY 10027, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100329996"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":null,"apc_paid":null,"fwci":3.4417,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.90998179,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"464","issue":"2099","first_page":"2967","last_page":"2984"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10396","display_name":"Fatigue and fracture mechanics","score":0.9375,"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":0.9375,"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/T10377","display_name":"Metal and Thin Film Mechanics","score":0.02070000022649765,"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/T10700","display_name":"Metal Forming Simulation Techniques","score":0.004999999888241291,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/vickers-indentation","display_name":"Vickers indentation","score":0.9430000185966492},{"id":"https://openalex.org/keywords/radial-cracking","display_name":"radial cracks","score":0.8700000047683716},{"id":"https://openalex.org/keywords/indentation-induced-cracking","display_name":"indentation-induced cracking","score":0.796999990940094},{"id":"https://openalex.org/keywords/stress-intensity-factor","display_name":"stress intensity factor","score":0.9559999704360962},{"id":"https://openalex.org/keywords/fracture-toughness","display_name":"fracture toughness","score":0.9710000157356262},{"id":"https://openalex.org/keywords/crack-length","display_name":"crack length","score":0.6050000190734863},{"id":"https://openalex.org/keywords/elastoplastic-properties","display_name":"elastic-plastic properties","score":0.7850000262260437},{"id":"https://openalex.org/keywords/inverse-analysis","display_name":"inverse analysis","score":0.7310000061988831},{"id":"https://openalex.org/keywords/stress-field","display_name":"stress field","score":0.527999997138977}],"concepts":[{"id":"https://openalex.org/C2780902562","wikidata":"https://www.wikidata.org/wiki/Q1154141","display_name":"Indentation","level":2,"score":0.8566089868545532},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.7342544794082642},{"id":"https://openalex.org/C133392424","wikidata":"https://www.wikidata.org/wiki/Q223404","display_name":"Vickers hardness test","level":3,"score":0.6729444265365601},{"id":"https://openalex.org/C97549433","wikidata":"https://www.wikidata.org/wiki/Q911969","display_name":"Fracture toughness","level":2,"score":0.6687138080596924},{"id":"https://openalex.org/C54303661","wikidata":"https://www.wikidata.org/wiki/Q1754376","display_name":"Stress intensity factor","level":3,"score":0.5794494152069092},{"id":"https://openalex.org/C58396970","wikidata":"https://www.wikidata.org/wiki/Q212749","display_name":"Cracking","level":2,"score":0.5352884531021118},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.5302737951278687},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5073568224906921},{"id":"https://openalex.org/C51830879","wikidata":"https://www.wikidata.org/wiki/Q17008045","display_name":"Crack tip opening displacement","level":4,"score":0.47348296642303467},{"id":"https://openalex.org/C75512024","wikidata":"https://www.wikidata.org/wiki/Q17009280","display_name":"Crack closure","level":3,"score":0.44207048416137695},{"id":"https://openalex.org/C101386981","wikidata":"https://www.wikidata.org/wiki/Q17008035","display_name":"Crack growth resistance curve","level":4,"score":0.434251606464386},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.42432114481925964},{"id":"https://openalex.org/C43369102","wikidata":"https://www.wikidata.org/wiki/Q2307625","display_name":"Fracture (geology)","level":2,"score":0.41230320930480957},{"id":"https://openalex.org/C59085676","wikidata":"https://www.wikidata.org/wiki/Q957852","display_name":"Fracture mechanics","level":2,"score":0.39112362265586853},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3880499005317688},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08965900540351868},{"id":"https://openalex.org/C87976508","wikidata":"https://www.wikidata.org/wiki/Q1498213","display_name":"Microstructure","level":2,"score":0.048710137605667114},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1098/rspa.2008.0077","doi":"https://doi.org/10.1098/rspa.2008.0077","is_oa":false,"landing_page_url":"https://doi.org/10.1098/rspa.2008.0077","pdf_url":null,"source":{"id":"https://openalex.org/S3006183880","display_name":"Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences","issn_l":"1364-5021","issn":["1364-5021","1471-2946"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319787","host_organization_name":"Royal Society","host_organization_lineage":["https://openalex.org/P4310319787"],"host_organization_lineage_names":["Royal Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W154193794","https://openalex.org/W203907636","https://openalex.org/W1513751997","https://openalex.org/W1546625087","https://openalex.org/W1971647216","https://openalex.org/W1971742874","https://openalex.org/W1972051343","https://openalex.org/W1972402137","https://openalex.org/W1981268364","https://openalex.org/W1988621188","https://openalex.org/W1992446275","https://openalex.org/W1998655569","https://openalex.org/W2000769486","https://openalex.org/W2002543968","https://openalex.org/W2012640856","https://openalex.org/W2018234105","https://openalex.org/W2019131424","https://openalex.org/W2020108307","https://openalex.org/W2023914723","https://openalex.org/W2027555771","https://openalex.org/W2036054144","https://openalex.org/W2037694553","https://openalex.org/W2038268939","https://openalex.org/W2041640889","https://openalex.org/W2055147874","https://openalex.org/W2055955464","https://openalex.org/W2060920047","https://openalex.org/W2061627962","https://openalex.org/W2063246081","https://openalex.org/W2066887944","https://openalex.org/W2069931297","https://openalex.org/W2096278928","https://openalex.org/W2096687041","https://openalex.org/W2105604213","https://openalex.org/W2108140695","https://openalex.org/W2114482021","https://openalex.org/W2118917549","https://openalex.org/W2122972324","https://openalex.org/W2123832212","https://openalex.org/W2124316323","https://openalex.org/W2132314295","https://openalex.org/W2133054247","https://openalex.org/W2134030746","https://openalex.org/W2134231346","https://openalex.org/W2135624181","https://openalex.org/W2136133880","https://openalex.org/W2145293125","https://openalex.org/W2148480252","https://openalex.org/W2151501982","https://openalex.org/W2152757096","https://openalex.org/W2153396730","https://openalex.org/W2159020904","https://openalex.org/W2166107623","https://openalex.org/W2166672694","https://openalex.org/W2167033118","https://openalex.org/W2169134733"],"related_works":["https://openalex.org/W2144995128","https://openalex.org/W2024087687","https://openalex.org/W2595420829","https://openalex.org/W2127446777","https://openalex.org/W2032952755","https://openalex.org/W1998981212","https://openalex.org/W2319392251","https://openalex.org/W3011931105","https://openalex.org/W2098696843","https://openalex.org/W2189001997"],"abstract_inverted_index":{"Based":[0],"on":[1],"the":[2,9,28,34,55,65,81],"stress":[3,29],"fields":[4],"formed":[5],"upon":[6],"Vickers":[7,89],"indentation,":[8],"radial":[10],"crack":[11,14,23,35,66],"and":[12,37],"half-penny":[13],"systems":[15],"are":[16],"analysed":[17],"separately":[18],"using":[19],"finite-element":[20],"analyses.":[21],"The":[22,70],"length":[24,67],"is":[25,68,73],"correlated":[26],"with":[27,77],"intensity":[30],"factor":[31],"(SIF)":[32],"at":[33],"front":[36],"material":[38],"elastoplastic":[39],"properties":[40],"via":[41],"explicit":[42],"relationships,":[43],"from":[44],"which":[45],"a":[46],"reverse":[47],"analysis":[48],"can":[49,60],"be":[50,61],"carried":[51],"out":[52],"such":[53],"that":[54],"critical":[56],"SIF":[57],"(fracture":[58],"toughness)":[59],"readily":[62],"derived":[63],"once":[64],"measured.":[69],"proposed":[71],"technique":[72],"validated":[74],"by":[75],"comparing":[76],"experimental":[78],"data":[79],"in":[80],"literature":[82],"as":[83,85],"well":[84],"parallel":[86],"experiments":[87],"of":[88],"indentation-induced":[90],"cracking.":[91]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
