{"id":"https://openalex.org/W7224253076","doi":"https://doi.org/10.69644/ivk-2026-sia-0015","title":"Comparative analysis of the accuracy of neural network and analytical methods in modelling fatigue fracture of titanium alloy","display_name":"Comparative analysis of the accuracy of neural network and analytical methods in modelling fatigue fracture of titanium alloy","publication_year":2026,"publication_date":"2026-10-28","ids":{"openalex":"https://openalex.org/W7224253076","doi":"https://doi.org/10.69644/ivk-2026-sia-0015"},"language":"en","primary_location":{"id":"doi:10.69644/ivk-2026-sia-0015","doi":"https://doi.org/10.69644/ivk-2026-sia-0015","is_oa":true,"landing_page_url":"https://doi.org/10.69644/ivk-2026-sia-0015","pdf_url":"https://doi.org/10.69644/ivk-2026-sia-0015","source":{"id":"https://openalex.org/S2739268444","display_name":"Integritet i vek konstrukcija","issn_l":"1451-3749","issn":["1451-3749","1820-7863"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["ddh","doaj","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321131","host_organization_name":"Society for Structural Integrity and Life, Institute for Material Testing","host_organization_lineage":["https://openalex.org/P4310321131"],"host_organization_lineage_names":["Society for Structural Integrity and Life, Institute for Material Testing"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Structural Integrity and Life","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.69644/ivk-2026-sia-0015","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076767120","display_name":"Iryna Didych","orcid":"https://orcid.org/0000-0003-2846-6040","observed_orcids":["https://orcid.org/0000-0003-2846-6040"]},"institutions":[{"id":"https://openalex.org/I4210147056","display_name":"Ternopil Ivan Pului National Technical University","ror":"https://ror.org/045hmbf04","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210147056"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Iryna Didych","raw_affiliation_strings":["Department of Computer-Integrated Technologies, Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine"],"raw_orcid":"https://orcid.org/0000-0003-2846-6040","affiliations":[{"raw_affiliation_string":"Department of Computer-Integrated Technologies, Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine","institution_ids":["https://openalex.org/I4210147056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040075822","display_name":"Oleh Yasniy","orcid":"https://orcid.org/0000-0002-9820-9093","observed_orcids":["https://orcid.org/0000-0002-9820-9093"]},"institutions":[{"id":"https://openalex.org/I4210147056","display_name":"Ternopil Ivan Pului National Technical University","ror":"https://ror.org/045hmbf04","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210147056"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Oleh Yasniy","raw_affiliation_strings":["Department of Computer-Integrated Technologies, Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine"],"raw_orcid":"https://orcid.org/0000-0002-9820-9093","affiliations":[{"raw_affiliation_string":"Department of Computer-Integrated Technologies, Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine","institution_ids":["https://openalex.org/I4210147056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092599173","display_name":"Dmytro Tymoshchuk","orcid":"https://orcid.org/0000-0003-0246-2236","observed_orcids":["https://orcid.org/0000-0003-0246-2236"]},"institutions":[{"id":"https://openalex.org/I4210147056","display_name":"Ternopil Ivan Pului National Technical University","ror":"https://ror.org/045hmbf04","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210147056"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Dmytro Tymoshchuk","raw_affiliation_strings":["Department of Computer-Integrated Technologies, Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine"],"raw_orcid":"https://orcid.org/0000-0003-0246-2236","affiliations":[{"raw_affiliation_string":"Department of Computer-Integrated Technologies, Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine","institution_ids":["https://openalex.org/I4210147056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063820235","display_name":"\u041e\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440 \u0421\u0435\u0440\u0433\u0456\u0439\u043e\u0432\u0438\u0447 \u0413\u043e\u043b\u043e\u0442\u0435\u043d\u043a\u043e","orcid":"https://orcid.org/0000-0001-9251-8760","observed_orcids":["https://orcid.org/0000-0001-9251-8760"]},"institutions":[{"id":"https://openalex.org/I4210147056","display_name":"Ternopil Ivan Pului National Technical University","ror":"https://ror.org/045hmbf04","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210147056"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Oleksandr Holotenko","raw_affiliation_strings":["Department of Computer-Integrated Technologies, Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine"],"raw_orcid":"https://orcid.org/0000-0001-9251-8760","affiliations":[{"raw_affiliation_string":"Department of Computer-Integrated Technologies, Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine","institution_ids":["https://openalex.org/I4210147056"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5120910697","display_name":"\u0412\u0456\u043a\u0442\u043e\u0440 \u0411\u043e\u0439\u0447\u0443\u043d","orcid":"https://orcid.org/0009-0008-5540-5431","observed_orcids":["https://orcid.org/0009-0008-5540-5431"]},"institutions":[{"id":"https://openalex.org/I4210147056","display_name":"Ternopil Ivan Pului National Technical University","ror":"https://ror.org/045hmbf04","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210147056"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Viktor Boichun","raw_affiliation_strings":["Department of Computer-Integrated Technologies, Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine"],"raw_orcid":"https://orcid.org/0009-0008-5540-5431","affiliations":[{"raw_affiliation_string":"Department of Computer-Integrated Technologies, Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine","institution_ids":["https://openalex.org/I4210147056"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210147056"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.70444697,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"Special Issue A","first_page":"S15","last_page":"S21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10396","display_name":"Fatigue and fracture mechanics","score":0.9980000257492065,"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":0.9980000257492065,"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":0.00019999999494757503,"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":0.00019999999494757503,"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/fatigue-crack-growth-rate","display_name":"fatigue crack growth rate","score":0.9380000233650208},{"id":"https://openalex.org/keywords/titanium-alloys","display_name":"titanium alloys","score":0.8849999904632568},{"id":"https://openalex.org/keywords/neural-network","display_name":"artificial neural networks","score":0.6790000200271606},{"id":"https://openalex.org/keywords/paris-law","display_name":"Paris law","score":0.8550000190734863},{"id":"https://openalex.org/keywords/polynomial-regression","display_name":"polynomial regression","score":0.921999990940094},{"id":"https://openalex.org/keywords/stress-intensity-factor","display_name":"stress intensity factor","score":0.6159999966621399},{"id":"https://openalex.org/keywords/fracture-mechanics","display_name":"fracture mechanics","score":0.6499999761581421},{"id":"https://openalex.org/keywords/fatigue-analysis","display_name":"fatigue analysis","score":0.6150000095367432},{"id":"https://openalex.org/keywords/machine-learning","display_name":"machine learning","score":0.6669999957084656}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7968000173568726},{"id":"https://openalex.org/C43369102","wikidata":"https://www.wikidata.org/wiki/Q2307625","display_name":"Fracture (geology)","level":2,"score":0.5194000005722046},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.5163999795913696},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5103999972343445},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.4523000121116638},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.447299987077713},{"id":"https://openalex.org/C8953137","wikidata":"https://www.wikidata.org/wiki/Q3300719","display_name":"Titanium alloy","level":3,"score":0.4442000091075897},{"id":"https://openalex.org/C69809600","wikidata":"https://www.wikidata.org/wiki/Q7137166","display_name":"Paris' law","level":4,"score":0.4415000081062317},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.40389999747276306},{"id":"https://openalex.org/C188154048","wikidata":"https://www.wikidata.org/wiki/Q6803609","display_name":"Mean absolute error","level":3,"score":0.3953999876976013},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.35499998927116394},{"id":"https://openalex.org/C59085676","wikidata":"https://www.wikidata.org/wiki/Q957852","display_name":"Fracture mechanics","level":2,"score":0.33329999446868896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3160000145435333},{"id":"https://openalex.org/C128990827","wikidata":"https://www.wikidata.org/wiki/Q192830","display_name":"Coefficient of determination","level":2,"score":0.3089999854564667},{"id":"https://openalex.org/C46889948","wikidata":"https://www.wikidata.org/wiki/Q2755024","display_name":"Nonlinear regression","level":3,"score":0.3077000081539154},{"id":"https://openalex.org/C155032097","wikidata":"https://www.wikidata.org/wiki/Q798503","display_name":"Backpropagation","level":3,"score":0.29600000381469727},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.29280000925064087},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.28679999709129333},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.28610000014305115},{"id":"https://openalex.org/C150217764","wikidata":"https://www.wikidata.org/wiki/Q6803607","display_name":"Mean absolute percentage error","level":3,"score":0.2849000096321106},{"id":"https://openalex.org/C120068334","wikidata":"https://www.wikidata.org/wiki/Q45343","display_name":"Polynomial regression","level":3,"score":0.2651999890804291},{"id":"https://openalex.org/C2780092901","wikidata":"https://www.wikidata.org/wiki/Q3433612","display_name":"Correlation coefficient","level":2,"score":0.25699999928474426}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.69644/ivk-2026-sia-0015","doi":"https://doi.org/10.69644/ivk-2026-sia-0015","is_oa":true,"landing_page_url":"https://doi.org/10.69644/ivk-2026-sia-0015","pdf_url":"https://doi.org/10.69644/ivk-2026-sia-0015","source":{"id":"https://openalex.org/S2739268444","display_name":"Integritet i vek konstrukcija","issn_l":"1451-3749","issn":["1451-3749","1820-7863"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["ddh","doaj","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321131","host_organization_name":"Society for Structural Integrity and Life, Institute for Material Testing","host_organization_lineage":["https://openalex.org/P4310321131"],"host_organization_lineage_names":["Society for Structural Integrity and Life, Institute for Material Testing"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Structural Integrity and Life","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.69644/ivk-2026-sia-0015","doi":"https://doi.org/10.69644/ivk-2026-sia-0015","is_oa":true,"landing_page_url":"https://doi.org/10.69644/ivk-2026-sia-0015","pdf_url":"https://doi.org/10.69644/ivk-2026-sia-0015","source":{"id":"https://openalex.org/S2739268444","display_name":"Integritet i vek konstrukcija","issn_l":"1451-3749","issn":["1451-3749","1820-7863"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["ddh","doaj","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321131","host_organization_name":"Society for Structural Integrity and Life, Institute for Material Testing","host_organization_lineage":["https://openalex.org/P4310321131"],"host_organization_lineage_names":["Society for Structural Integrity and Life, Institute for Material Testing"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Structural Integrity and Life","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224253076.pdf","grobid_xml":"https://content.openalex.org/works/W7224253076.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W2017351364","https://openalex.org/W2041697026","https://openalex.org/W2062613656","https://openalex.org/W2098053622","https://openalex.org/W3139360122","https://openalex.org/W3216724712","https://openalex.org/W4205201743","https://openalex.org/W4385415911","https://openalex.org/W4386395364","https://openalex.org/W4399375500","https://openalex.org/W4402105891","https://openalex.org/W4407584729","https://openalex.org/W4413954458","https://openalex.org/W4414703052"],"related_works":["https://openalex.org/W3046970727","https://openalex.org/W2006480995","https://openalex.org/W3115146700","https://openalex.org/W3096655077","https://openalex.org/W883366436","https://openalex.org/W7008750137","https://openalex.org/W2725859932","https://openalex.org/W7097504947","https://openalex.org/W922778898","https://openalex.org/W1971115664"],"abstract_inverted_index":{"Fatigue":[0],"crack":[1,106],"growth":[2,107],"rate":[3],"is":[4,108],"modelled":[5],"by":[6],"neural":[7,71,88,132],"network":[8,89],"and":[9,18,43,69,140],"compared":[10],"with":[11],"analytical":[12,67],"models,":[13],"namely,":[14],"the":[15,23,30,33,35,53,56,65,70,74,80,84,87,94,123,135],"Paris'":[16],"law":[17],"polynomial":[19],"log":[20],"regressions":[21],"of":[22,32,55,77,79,96,99,105,113,125,137],"second":[24],"to":[25,51,117],"fifth":[26],"degree.":[27],"To":[28],"assess":[29,52],"accuracy":[31,54,76],"modelling,":[34],"determination":[36,114],"coefficient":[37,112],"R\u00b2,":[38],"mean":[39,44],"absolute":[40,45],"error":[41,47],"(MAE)":[42],"percentage":[46],"(MAPE)":[48],"are":[49],"used":[50],"modelling.":[57],"Results":[58],"show":[59],"that":[60],"both":[61],"approaches,":[62],"in":[63,93,130,134],"particular,":[64],"classical":[66],"models":[68],"network,":[72],"provide":[73],"high":[75,97],"approximation":[78],"experimental":[81],"data.":[82],"At":[83],"same":[85],"time,":[86],"demonstrates":[90],"an":[91],"advantage":[92],"region":[95],"values":[98],"DK,":[100],"where":[101],"a":[102,111],"nonlinear":[103],"acceleration":[104],"observed,":[109],"reaching":[110],"R\u00b2":[115],"equal":[116],"0.9994.":[118],"The":[119],"presented":[120],"approach":[121],"confirms":[122],"effectiveness":[124],"applying":[126],"machine":[127],"learning":[128],"methods,":[129],"particular":[131],"networks,":[133],"problems":[136],"fracture":[138],"mechanics":[139],"fatigue":[141],"analysis.":[142]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-10-30T00:00:00"}