{"id":"https://openalex.org/W4387711957","doi":"https://doi.org/10.1109/acit58437.2023.10275487","title":"Mathematical Modeling of Hydrogen Cracks Growth Kinetics in Metallic Materials at High Hydrogen Parameters","display_name":"Mathematical Modeling of Hydrogen Cracks Growth Kinetics in Metallic Materials at High Hydrogen Parameters","publication_year":2023,"publication_date":"2023-09-21","ids":{"openalex":"https://openalex.org/W4387711957","doi":"https://doi.org/10.1109/acit58437.2023.10275487"},"language":"en","primary_location":{"id":"doi:10.1109/acit58437.2023.10275487","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acit58437.2023.10275487","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 13th International Conference on Advanced Computer Information Technologies (ACIT)","raw_type":"proceedings-article"},"type":"article","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/A5108298943","display_name":"Oleksandr Andreykiv","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Oleksandr Andreykiv","raw_affiliation_strings":["Ivan Franko National University, Karpenko Physico-mechanical Institute of NAS of Ukraine,Lviv,Ukraine","Ivan Franko National University, Karpenko Physico-mechanical Institute of NAS of Ukraine, Lviv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Ivan Franko National University, Karpenko Physico-mechanical Institute of NAS of Ukraine,Lviv,Ukraine","institution_ids":[]},{"raw_affiliation_string":"Ivan Franko National University, Karpenko Physico-mechanical Institute of NAS of Ukraine, Lviv, Ukraine","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035559643","display_name":"Iryna Dolinska","orcid":"https://orcid.org/0000-0003-1143-8895"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Iryna Dolinska","raw_affiliation_strings":["Karpenko Physico-mechanical Institute of NAS of Ukraine, Ivan Franko National University,Lviv,Ukraine","Karpenko Physico-mechanical Institute of NAS of Ukraine, Ivan Franko National University, Lviv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Karpenko Physico-mechanical Institute of NAS of Ukraine, Ivan Franko National University,Lviv,Ukraine","institution_ids":[]},{"raw_affiliation_string":"Karpenko Physico-mechanical Institute of NAS of Ukraine, Ivan Franko National University, Lviv, Ukraine","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041705469","display_name":"S. V. Nastasiak","orcid":"https://orcid.org/0009-0008-4733-5955"},"institutions":[{"id":"https://openalex.org/I200280692","display_name":"Lviv University","ror":"https://ror.org/01s7y5e82","country_code":"UA","type":"education","lineage":["https://openalex.org/I200280692"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Sviatoslav Nastasiak","raw_affiliation_strings":["Ivan Franko National University,Lviv,Ukraine","Ivan Franko National University, Lviv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Ivan Franko National University,Lviv,Ukraine","institution_ids":["https://openalex.org/I200280692"]},{"raw_affiliation_string":"Ivan Franko National University, Lviv, Ukraine","institution_ids":["https://openalex.org/I200280692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083166039","display_name":"Vasyl Sheketa","orcid":"https://orcid.org/0000-0002-1318-4895"},"institutions":[{"id":"https://openalex.org/I33616363","display_name":"Ivano-Frankivsk National Technical University of Oil and Gas","ror":"https://ror.org/01f1ses45","country_code":"UA","type":"education","lineage":["https://openalex.org/I33616363"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Vasyl Sheketa","raw_affiliation_strings":["Ivano-Frankivsk National Technical University of Oil and Gas,Ivano-Frankivsk,Ukraine","Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, Ukraine"],"affiliations":[{"raw_affiliation_string":"Ivano-Frankivsk National Technical University of Oil and Gas,Ivano-Frankivsk,Ukraine","institution_ids":["https://openalex.org/I33616363"]},{"raw_affiliation_string":"Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, Ukraine","institution_ids":["https://openalex.org/I33616363"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5108298943"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1961,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.41866319,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"88","last_page":"91"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14076","display_name":"Material Properties and Failure Mechanisms","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T14076","display_name":"Material Properties and Failure Mechanisms","score":0.9994999766349792,"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/T13891","display_name":"Engineering Diagnostics and Reliability","score":0.9991000294685364,"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/T13045","display_name":"Industrial Engineering and Technologies","score":0.9886000156402588,"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/bimetal","display_name":"Bimetal","score":0.8382741212844849},{"id":"https://openalex.org/keywords/hydrogen","display_name":"Hydrogen","score":0.7893063426017761},{"id":"https://openalex.org/keywords/cracking","display_name":"Cracking","score":0.7207916378974915},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.672904372215271},{"id":"https://openalex.org/keywords/fracture","display_name":"Fracture (geology)","score":0.547105610370636},{"id":"https://openalex.org/keywords/fracture-mechanics","display_name":"Fracture mechanics","score":0.5292448401451111},{"id":"https://openalex.org/keywords/mathematical-model","display_name":"Mathematical model","score":0.48845210671424866},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4752119183540344},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.41911688446998596},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.3813017010688782},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3730311989784241},{"id":"https://openalex.org/keywords/metallurgy","display_name":"Metallurgy","score":0.3711611032485962},{"id":"https://openalex.org/keywords/forensic-engineering","display_name":"Forensic engineering","score":0.32094019651412964},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.20091894268989563},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.08120685815811157},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07963275909423828}],"concepts":[{"id":"https://openalex.org/C74793105","wikidata":"https://www.wikidata.org/wiki/Q746634","display_name":"Bimetal","level":2,"score":0.8382741212844849},{"id":"https://openalex.org/C512968161","wikidata":"https://www.wikidata.org/wiki/Q556","display_name":"Hydrogen","level":2,"score":0.7893063426017761},{"id":"https://openalex.org/C58396970","wikidata":"https://www.wikidata.org/wiki/Q212749","display_name":"Cracking","level":2,"score":0.7207916378974915},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.672904372215271},{"id":"https://openalex.org/C43369102","wikidata":"https://www.wikidata.org/wiki/Q2307625","display_name":"Fracture (geology)","level":2,"score":0.547105610370636},{"id":"https://openalex.org/C59085676","wikidata":"https://www.wikidata.org/wiki/Q957852","display_name":"Fracture mechanics","level":2,"score":0.5292448401451111},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.48845210671424866},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4752119183540344},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.41911688446998596},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.3813017010688782},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3730311989784241},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.3711611032485962},{"id":"https://openalex.org/C77595967","wikidata":"https://www.wikidata.org/wiki/Q3151013","display_name":"Forensic engineering","level":1,"score":0.32094019651412964},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.20091894268989563},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.08120685815811157},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07963275909423828},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acit58437.2023.10275487","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acit58437.2023.10275487","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 13th International Conference on Advanced Computer Information Technologies (ACIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2080102633","https://openalex.org/W4319335511"],"related_works":["https://openalex.org/W2349813156","https://openalex.org/W2062761185","https://openalex.org/W3158960024","https://openalex.org/W2799532055","https://openalex.org/W2334256141","https://openalex.org/W2061542128","https://openalex.org/W2970344547","https://openalex.org/W2393810422","https://openalex.org/W1968956592","https://openalex.org/W2373318203"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,40,121,201],"mathematical":[4,41,107,129,202],"model":[5,42,66,108,203],"for":[6],"analyzing":[7],"local":[8],"fractures":[9],"in":[10,53,75,85,120,146],"metal":[11],"materials":[12,26,55],"and":[13,30,60,92,98],"structural":[14],"elements":[15],"induced":[16],"by":[17,57,173,178],"extremely":[18],"high":[19,58,61,174,180],"concentrations":[20,62],"of":[21,25,32,50,63,72,82,90,115,118,127,144,167,200,204],"hydrogen.":[22,64],"Local":[23],"fracture":[24,145,157],"is":[27],"the":[28,37,48,70,76,80,86,99,113,125,133,142,147,156,160,165,179,184,198,205],"initiation":[29],"propagation":[31],"crack-liked":[33],"defects.":[34],"Based":[35],"on":[36],"deformation":[38],"approach,":[39],"has":[43,103],"been":[44,96,104],"developed":[45],"to":[46,68,111,140,164],"study":[47,112],"development":[49],"hydrogen":[51,73,83,168,175,181],"cracks":[52],"metallic":[54],"caused":[56,177],"pressures":[59,176],"The":[65,106,152],"aims":[67],"determine":[69,79,141],"amount":[71,81],"present":[74,84],"crack.":[77],"To":[78],"crack,":[87],"Fick\u2019s":[88],"laws":[89],"heat":[91],"mass":[93],"transfer":[94],"have":[95],"applied,":[97],"corresponding":[100,134],"diffusion":[101],"problem":[102,192],"formulated.":[105],"was":[109,138,193],"applied":[110],"process":[114],"deep":[116],"cracking":[117],"oil":[119,148],"bimetallic":[122],"reactor.":[123],"From":[124],"analysis":[126,153],"this":[128],"model,":[130],"which":[131,170],"includes":[132],"differential":[135],"equations,":[136],"it":[137],"possible":[139,196],"nature":[143],"hydrocracking":[149],"reactor":[150],"vessel.":[151],"revealed":[154],"that":[155],"occurs":[158],"at":[159,183],"bimetal":[161,185],"boundary":[162],"due":[163],"formation":[166],"cracks,":[169],"are":[171],"driven":[172],"concentration":[182],"boundary.":[186],"Solving":[187],"such":[188],"an":[189],"important":[190],"technical":[191],"only":[194],"made":[195],"through":[197],"utilization":[199],"process.":[206]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}