{"id":"https://openalex.org/W2495533199","doi":"https://doi.org/10.3139/146.111409","title":"Development of a mathematical model and its application to the stress evolution of a multi-crystalline silicon billet during continuous casting","display_name":"Development of a mathematical model and its application to the stress evolution of a multi-crystalline silicon billet during continuous casting","publication_year":2016,"publication_date":"2016-07-20","ids":{"openalex":"https://openalex.org/W2495533199","doi":"https://doi.org/10.3139/146.111409","mag":"2495533199"},"language":"en","primary_location":{"id":"doi:10.3139/146.111409","doi":"https://doi.org/10.3139/146.111409","is_oa":false,"landing_page_url":"https://doi.org/10.3139/146.111409","pdf_url":null,"source":{"id":"https://openalex.org/S192423878","display_name":"International Journal of Materials Research (formerly Zeitschrift fuer Metallkunde)","issn_l":"0044-3093","issn":["0044-3093","1862-5282","2195-8556"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Materials Research","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/A5100706202","display_name":"Yan Zhu Hu","orcid":"https://orcid.org/0000-0002-1145-5276","observed_orcids":["https://orcid.org/0000-0002-1145-5276"]},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Hu","raw_affiliation_strings":["Key Laboratory of Solidification Control and Digital Preparation Technology , School of Materials Science and Engineering, Dalian University of Technology, Dalian , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Solidification Control and Digital Preparation Technology , School of Materials Science and Engineering, Dalian University of Technology, Dalian , China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Muyi Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Muyi Li","raw_affiliation_strings":["Key Laboratory of Solidification Control and Digital Preparation Technology , School of Materials Science and Engineering, Dalian University of Technology, Dalian , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Solidification Control and Digital Preparation Technology , School of Materials Science and Engineering, Dalian University of Technology, Dalian , China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070747454","display_name":"Hai Hao","orcid":"https://orcid.org/0000-0001-6564-1851","observed_orcids":["https://orcid.org/0000-0001-6564-1851"]},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hai Hao","raw_affiliation_strings":["Key Laboratory of Solidification Control and Digital Preparation Technology , School of Materials Science and Engineering, Dalian University of Technology, Dalian , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Solidification Control and Digital Preparation Technology , School of Materials Science and Engineering, Dalian University of Technology, Dalian , China","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I27357992"],"apc_list":{"value":2400,"currency":"EUR","value_usd":2712},"apc_paid":null,"fwci":0.4852,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.60144842,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"107","issue":"9","first_page":"790","last_page":"800"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11126","display_name":"Metallurgical Processes and Thermodynamics","score":0.9541000127792358,"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"}},"topics":[{"id":"https://openalex.org/T11126","display_name":"Metallurgical Processes and Thermodynamics","score":0.9541000127792358,"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"}},{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.035999998450279236,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10840","display_name":"High Temperature Alloys and Creep","score":0.0008999999845400453,"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/polycrystalline-silicon","display_name":"polycrystalline silicon","score":0.9589999914169312},{"id":"https://openalex.org/keywords/continuous-casting","display_name":"continuous casting","score":0.8349999785423279},{"id":"https://openalex.org/keywords/stress-evolution","display_name":"stress evolution","score":0.9089999794960022},{"id":"https://openalex.org/keywords/casting-process-parameters","display_name":"casting process parameters","score":0.6190000176429749},{"id":"https://openalex.org/keywords/pouring-temperature","display_name":"pouring temperature","score":0.9490000009536743},{"id":"https://openalex.org/keywords/secondary-cooling","display_name":"secondary cooling","score":0.7210000157356262},{"id":"https://openalex.org/keywords/casting-speed","display_name":"casting speed","score":0.8320000171661377},{"id":"https://openalex.org/keywords/air-cooling","display_name":"air cooling","score":0.7070000171661377},{"id":"https://openalex.org/keywords/procast-simulation","display_name":"ProCAST simulation","score":0.7400000095367432}],"concepts":[{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.8088905811309814},{"id":"https://openalex.org/C16635281","wikidata":"https://www.wikidata.org/wiki/Q496098","display_name":"Casting","level":2,"score":0.7416430711746216},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.6648937463760376},{"id":"https://openalex.org/C544956773","wikidata":"https://www.wikidata.org/wiki/Q670","display_name":"Silicon","level":2,"score":0.6082271337509155},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.6067053079605103},{"id":"https://openalex.org/C2779684419","wikidata":"https://www.wikidata.org/wiki/Q1506832","display_name":"Continuous casting","level":2,"score":0.6047976613044739},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.45072177052497864},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.432275652885437},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.38396114110946655},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.3550347089767456},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.19596901535987854},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12750858068466187},{"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:10.3139/146.111409","doi":"https://doi.org/10.3139/146.111409","is_oa":false,"landing_page_url":"https://doi.org/10.3139/146.111409","pdf_url":null,"source":{"id":"https://openalex.org/S192423878","display_name":"International Journal of Materials Research (formerly Zeitschrift fuer Metallkunde)","issn_l":"0044-3093","issn":["0044-3093","1862-5282","2195-8556"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Materials Research","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":23,"referenced_works":["https://openalex.org/W1964784127","https://openalex.org/W1970079885","https://openalex.org/W1970760662","https://openalex.org/W1971306546","https://openalex.org/W1997419748","https://openalex.org/W2012590938","https://openalex.org/W2013320946","https://openalex.org/W2034656763","https://openalex.org/W2035419140","https://openalex.org/W2039429655","https://openalex.org/W2048254273","https://openalex.org/W2051485386","https://openalex.org/W2054878854","https://openalex.org/W2070216833","https://openalex.org/W2072152843","https://openalex.org/W2079123767","https://openalex.org/W2083667500","https://openalex.org/W2086398291","https://openalex.org/W2087785913","https://openalex.org/W2122679475","https://openalex.org/W2193254993","https://openalex.org/W2209888830","https://openalex.org/W2320662655"],"related_works":["https://openalex.org/W2244428569","https://openalex.org/W2384511954","https://openalex.org/W2358818270","https://openalex.org/W2356238417","https://openalex.org/W4411135733","https://openalex.org/W2029347506","https://openalex.org/W2189393414","https://openalex.org/W2361942470","https://openalex.org/W2365617620","https://openalex.org/W2372528872"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"mathematical":[2],"model":[3],"of":[4,47,53,59,86,121,135],"the":[5,18,22,25,37,41,45,48,57,65,71,79,84,87,92,96,102,105,110,127],"continuous":[6],"casting":[7,54,103,133],"process":[8],"for":[9],"multi-crystalline":[10],"silicon":[11],"billet":[12,23,61,106,140],"has":[13],"been":[14],"developed":[15],"to":[16],"predict":[17],"stress":[19,58,80,107,143],"evolution":[20],"in":[21,95,126],"using":[24],"commercial":[26],"finite":[27],"element":[28],"package,":[29],"ProCAST.":[30],"The":[31,51,75],"calculated":[32],"temperature":[33,120],"was":[34,114],"validated":[35,69],"by":[36,70],"measured":[38],"data,":[39],"and":[40,64,100,131],"good":[42],"agreement":[43],"shows":[44],"reliability":[46],"present":[49,111],"model.":[50],"effects":[52],"parameters":[55],"on":[56],"a":[60,118,132,139],"were":[62,68],"investigated":[63],"simulation":[66],"results":[67,76],"analytical":[72],"calculation":[73],"data.":[74],"indicated":[77],"that":[78,116],"slightly":[81],"decreased":[82],"with":[83,123,141],"increasing":[85,91],"pouring":[88,119],"temperature.":[89],"With":[90],"cooling":[93,98,125,129],"intensity":[94],"secondary":[97,128],"zone":[99,130],"decreasing":[101],"speed,":[104],"increased.":[108],"In":[109],"work,":[112],"it":[113],"found":[115],"at":[117],"1560\u00b0C,":[122],"air":[124],"speed":[134],"1":[136],"mm":[137],"s\u20131,":[138],"low":[142],"could":[144],"be":[145],"continuously":[146],"cast.":[147]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-10-29T09:56:32.521200","created_date":"2016-08-23T00:00:00"}