{"id":"https://openalex.org/W4414288237","doi":"https://doi.org/10.35887/2305-2538-2025-4-139-148","title":"PHYSICAL AND MATHEMATICAL MODEL OF ABRASIVE WEAR OF SORMAITE SURFACES AFTER VACUUM HEAT TREATMENT","display_name":"PHYSICAL AND MATHEMATICAL MODEL OF ABRASIVE WEAR OF SORMAITE SURFACES AFTER VACUUM HEAT TREATMENT","publication_year":2025,"publication_date":"2025-08-29","ids":{"openalex":"https://openalex.org/W4414288237","doi":"https://doi.org/10.35887/2305-2538-2025-4-139-148"},"language":"en","primary_location":{"id":"doi:10.35887/2305-2538-2025-4-139-148","doi":"https://doi.org/10.35887/2305-2538-2025-4-139-148","is_oa":true,"landing_page_url":"https://doi.org/10.35887/2305-2538-2025-4-139-148","pdf_url":"https://doi.org/10.35887/2305-2538-2025-4-139-148","source":{"id":"https://openalex.org/S4210217655","display_name":"SCIENCE IN THE CENTRAL RUSSIA","issn_l":"2305-2538","issn":["2305-2538"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["russia-white-list-4"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SCIENCE IN THE CENTRAL RUSSIA","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.35887/2305-2538-2025-4-139-148","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037055324","display_name":"M. Yu. Badekin","orcid":"https://orcid.org/0000-0002-3911-5900","observed_orcids":["https://orcid.org/0000-0002-3911-5900"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maxim Badekin","raw_affiliation_strings":["Donetsk State University , Donetsk , Russian Federation"],"raw_orcid":"https://orcid.org/0000-0002-3911-5900","affiliations":[{"raw_affiliation_string":"Donetsk State University , Donetsk , Russian Federation","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001114103","display_name":"\u0411\u043e\u0440\u0443\u043b\u044c\u043a\u043e \u0412\u044f\u0447\u0435\u0441\u043b\u0430\u0432 \u0413\u0440\u0438\u0433\u043e\u0440\u044c\u0435\u0432\u0438\u0447","orcid":"https://orcid.org/0000-0002-3221-3567","observed_orcids":["https://orcid.org/0000-0002-3221-3567"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vyacheslav Borulko","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-3221-3567","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087463844","display_name":"\u0412. \u0418. \u0411\u0430\u043b\u0430\u0431\u0430\u043d\u043e\u0432","orcid":"https://orcid.org/0000-0001-6486-6485","observed_orcids":["https://orcid.org/0000-0001-6486-6485"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Viktor Balabanov","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-6486-6485","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5032047610","display_name":"\u041d. \u041d. \u0418\u0432\u0430\u0445\u043d\u0435\u043d\u043a\u043e","orcid":"https://orcid.org/0000-0002-7328-7634","observed_orcids":["https://orcid.org/0000-0002-7328-7634"]},"institutions":[{"id":"https://openalex.org/I11954620","display_name":"Russian State Agrarian University - Moscow Timiryazev Agricultural Academy","ror":"https://ror.org/0485fyg31","country_code":"RU","type":"education","lineage":["https://openalex.org/I11954620"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Natalia Ivakhnenko","raw_affiliation_strings":["Donetsk State University , Donetsk , Russian Federation","Russian State Agrarian University -Moscow Agricultural Academy named after K. A. Timiryazev , Moscow , Russian Federation"],"raw_orcid":"https://orcid.org/0000-0002-7328-7634","affiliations":[{"raw_affiliation_string":"Donetsk State University , Donetsk , Russian Federation","institution_ids":[]},{"raw_affiliation_string":"Russian State Agrarian University -Moscow Agricultural Academy named after K. A. Timiryazev , Moscow , Russian Federation","institution_ids":["https://openalex.org/I11954620"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11226254,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":"4","first_page":"139","last_page":"148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12427","display_name":"Metal Alloys Wear and Properties","score":0.9990000128746033,"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/T12427","display_name":"Metal Alloys Wear and Properties","score":0.9990000128746033,"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/T13470","display_name":"Surface Treatment and Coatings","score":0.000699999975040555,"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"}},{"id":"https://openalex.org/T12252","display_name":"Mechanical stress and fatigue analysis","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/abrasive-wear","display_name":"abrasive wear","score":0.9850000143051147},{"id":"https://openalex.org/keywords/vacuum-heat-treatment","display_name":"vacuum heat treatment","score":0.8709999918937683},{"id":"https://openalex.org/keywords/vacuum-annealing","display_name":"vacuum annealing","score":0.9700000286102295},{"id":"https://openalex.org/keywords/multilayer-systems","display_name":"multilayer systems","score":0.7879999876022339},{"id":"https://openalex.org/keywords/hardness-gradient","display_name":"hardness gradient","score":0.7149999737739563},{"id":"https://openalex.org/keywords/diffusion-alloying","display_name":"diffusion alloying","score":0.8859999775886536},{"id":"https://openalex.org/keywords/carbide-precipitation","display_name":"carbide precipitation","score":0.875},{"id":"https://openalex.org/keywords/damage-accumulation","display_name":"damage accumulation","score":0.8700000047683716},{"id":"https://openalex.org/keywords/cyclic-loading","display_name":"cyclic loading","score":0.9089999794960022},{"id":"https://openalex.org/keywords/wear-resistance","display_name":"wear resistance","score":0.7839999794960022},{"id":"https://openalex.org/keywords/wear-prediction-model","display_name":"wear prediction model","score":0.4169999957084656}],"concepts":[{"id":"https://openalex.org/C2780957350","wikidata":"https://www.wikidata.org/wiki/Q372301","display_name":"Abrasive","level":2,"score":0.8723999857902527},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.7301999926567078},{"id":"https://openalex.org/C2777855556","wikidata":"https://www.wikidata.org/wiki/Q4339544","display_name":"Annealing (glass)","level":2,"score":0.5324000120162964},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5041999816894531},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.46160000562667847},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.4020000100135803},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.3880000114440918},{"id":"https://openalex.org/C19474535","wikidata":"https://www.wikidata.org/wiki/Q131172","display_name":"Welding","level":2,"score":0.33739998936653137},{"id":"https://openalex.org/C195839","wikidata":"https://www.wikidata.org/wiki/Q901959","display_name":"Surface energy","level":2,"score":0.30469998717308044},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.29440000653266907},{"id":"https://openalex.org/C87976508","wikidata":"https://www.wikidata.org/wiki/Q1498213","display_name":"Microstructure","level":2,"score":0.28700000047683716},{"id":"https://openalex.org/C31555180","wikidata":"https://www.wikidata.org/wiki/Q3523867","display_name":"Material properties","level":2,"score":0.2773999869823456},{"id":"https://openalex.org/C2776001022","wikidata":"https://www.wikidata.org/wiki/Q537460","display_name":"Tool steel","level":2,"score":0.27160000801086426},{"id":"https://openalex.org/C42698342","wikidata":"https://www.wikidata.org/wiki/Q3236003","display_name":"Hardness","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.26989999413490295},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.2597000002861023},{"id":"https://openalex.org/C2780488498","wikidata":"https://www.wikidata.org/wiki/Q910447","display_name":"Wear coefficient","level":3,"score":0.2567000091075897},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.25600001215934753},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2513999938964844}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.35887/2305-2538-2025-4-139-148","doi":"https://doi.org/10.35887/2305-2538-2025-4-139-148","is_oa":true,"landing_page_url":"https://doi.org/10.35887/2305-2538-2025-4-139-148","pdf_url":"https://doi.org/10.35887/2305-2538-2025-4-139-148","source":{"id":"https://openalex.org/S4210217655","display_name":"SCIENCE IN THE CENTRAL RUSSIA","issn_l":"2305-2538","issn":["2305-2538"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["russia-white-list-4"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SCIENCE IN THE CENTRAL RUSSIA","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.35887/2305-2538-2025-4-139-148","doi":"https://doi.org/10.35887/2305-2538-2025-4-139-148","is_oa":true,"landing_page_url":"https://doi.org/10.35887/2305-2538-2025-4-139-148","pdf_url":"https://doi.org/10.35887/2305-2538-2025-4-139-148","source":{"id":"https://openalex.org/S4210217655","display_name":"SCIENCE IN THE CENTRAL RUSSIA","issn_l":"2305-2538","issn":["2305-2538"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["russia-white-list-4"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SCIENCE IN THE CENTRAL RUSSIA","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414288237.pdf","grobid_xml":"https://content.openalex.org/works/W4414288237.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0,114,151,191,203,229,252],"working":[1],"bodies":[2],"of":[3,28,67,92,110,117,123,131,134,140,153,168,198,213,263],"tillage":[4],"machinery":[5],"are":[6],"subject":[7],"to":[8,89,101,105,136,209,219,236,245],"abrasive":[9,18,172],"wear.":[10],"A":[11,64,174],"fundamentally":[12],"new":[13],"microscopic":[14],"model":[15,66,231],"for":[16,20,226],"assessing":[17],"wear":[19,165,183,215],"multilayer":[21,247],"systems":[22],"is":[23,75,126,189,193,232],"proposed":[24,42],"using":[25],"the":[26,41,68,72,93,96,121,129,132,137,145,196,211,221,237,261],"example":[27,177],"L53":[29,238],"steel":[30,239],"with":[31,171,249],"sormite":[32,241],"surfacing":[33,222],"after":[34,186],"vacuum":[35,86],"annealing.":[36],"Unlike":[37],"traditional":[38],"macroscopic":[39],"models,":[40],"approach":[43],"takes":[44],"into":[45,160],"account":[46],"microstructural":[47],"features:":[48],"hardness":[49,69,97],"gradients,":[50],"diffusion":[51,106],"processes,":[52],"phase":[53],"transformations,":[54],"damage":[55,154],"accumulation,":[56],"and":[57,62,108,223,257,267],"destruction":[58,135],"energy":[59,115,139],"at":[60],"nano-":[61],"microscales.":[63],"mathematical":[65],"profile":[70],"in":[71,119,181,260],"interface":[73],"zone":[74],"constructed":[76],"based":[77],"on":[78,144],"Fick's":[79],"second":[80],"law.":[81],"It":[82],"was":[83,158],"found":[84],"that":[85],"annealing":[87,224],"leads":[88],"significant":[90],"strengthening":[91],"deposited":[94],"layer:":[95],"increases":[98],"from":[99],"4.24":[100],"8.58":[102],"GPa":[103],"due":[104],"alloying":[107],"precipitation":[109],"finely":[111],"dispersed":[112],"carbides.":[113],"criterion":[116],"wear,":[118],"which":[120,162],"volume":[122],"removed":[124],"material":[125],"defined":[127],"as":[128],"ratio":[130],"work":[133,253],"specific":[138],"surface":[141],"destruction,":[142],"depending":[143],"local":[146],"hardness,":[147],"has":[148,254],"been":[149],"developed.":[150],"accumulation":[152],"under":[155,166],"cyclic":[156],"loading":[157],"taken":[159],"account,":[161],"allows":[163],"predicting":[164],"conditions":[167],"repeated":[169],"contact":[170],"particles.":[173],"detailed":[175],"calculation":[176,199],"demonstrating":[178],"a":[179],"decrease":[180],"total":[182],"by":[184,195],"41.7%":[185],"heat":[187],"treatment":[188],"given.":[190],"theory":[192],"accompanied":[194],"derivation":[197],"formulas,":[200],"numerical":[201],"verification.":[202],"research":[204],"results":[205],"allow":[206],"not":[207,234],"only":[208,235],"explain":[210],"mechanisms":[212],"increasing":[214],"resistance,":[216],"but":[217,243],"also":[218,244],"optimize":[220],"modes":[225],"industrial":[227],"applications.":[228],"developed":[230],"applicable":[233],"-":[240],"system,":[242],"other":[246],"materials":[248,265],"gradient":[250],"properties.":[251],"both":[255],"fundamental":[256],"applied":[258],"significance":[259],"field":[262],"tribology,":[264],"science":[266],"engineering":[268],"physics,":[269],"etc.":[270]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-09-18T00:00:00"}