{"id":"https://openalex.org/W7225633893","doi":"https://doi.org/10.15802/bttrp2026-30-11","title":"Algorithm to identify calculation dimensions for the ground foundation-underground and surface structures system","display_name":"Algorithm to identify calculation dimensions for the ground foundation-underground and surface structures system","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7225633893","doi":"https://doi.org/10.15802/bttrp2026-30-11"},"language":"en","primary_location":{"id":"doi:10.15802/bttrp2026-30-11","doi":"https://doi.org/10.15802/bttrp2026-30-11","is_oa":true,"landing_page_url":"https://doi.org/10.15802/bttrp2026-30-11","pdf_url":"https://bttrp.ust.edu.ua/article/download/376897/359632","source":{"id":"https://openalex.org/S4210203898","display_name":"Bridges and tunnels Theory Research Practice","issn_l":"2227-1252","issn":["2227-1252","2413-6212"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bridges and tunnels: theory, research, practice","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://bttrp.ust.edu.ua/article/download/376897/359632","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113121608","display_name":"Volodymyr Shapoval","orcid":"https://orcid.org/0000-0003-2993-1311","observed_orcids":["https://orcid.org/0000-0003-2993-1311"]},"institutions":[{"id":"https://openalex.org/I64712228","display_name":"Dnipro University of Technology","ror":"https://ror.org/05hkn5555","country_code":"UA","type":"education","lineage":["https://openalex.org/I64712228"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"V. H. Shapoval","raw_affiliation_strings":["Department of Construction, Geotechnics and Geomechanics , Dnipro University of Technology , Yavornytskoho Ave. , 19 , Dnipro , Ukraine , 49005 , tel "],"raw_orcid":"https://orcid.org/0000-0003-2993-1311","affiliations":[{"raw_affiliation_string":"Department of Construction, Geotechnics and Geomechanics , Dnipro University of Technology , Yavornytskoho Ave. , 19 , Dnipro , Ukraine , 49005 , tel ","institution_ids":["https://openalex.org/I64712228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034792923","display_name":"\u041e\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440 \u0412\u0430\u0441\u0438\u043b\u044c\u043e\u0432\u0438\u0447 \u0421\u043a\u043e\u0431\u0435\u043d\u043a\u043e","orcid":"https://orcid.org/0000-0003-4606-4889","observed_orcids":["https://orcid.org/0000-0003-4606-4889","https://orcid.org/0009-0002-4509-7152","https://orcid.org/0000-0002-8122-6583"]},"institutions":[{"id":"https://openalex.org/I64712228","display_name":"Dnipro University of Technology","ror":"https://ror.org/05hkn5555","country_code":"UA","type":"education","lineage":["https://openalex.org/I64712228"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"O. V. Skobenko","raw_affiliation_strings":["Department of Construction, Geotechnics and Geomechanics , Dnipro University of Technology , Yavornytskoho Ave. , 19 , Dnipro , Ukraine , 49005 , tel "],"raw_orcid":"https://orcid.org/0009-0002-4509-7152","affiliations":[{"raw_affiliation_string":"Department of Construction, Geotechnics and Geomechanics , Dnipro University of Technology , Yavornytskoho Ave. , 19 , Dnipro , Ukraine , 49005 , tel ","institution_ids":["https://openalex.org/I64712228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083857287","display_name":"Nataliia Dereviahina","orcid":"https://orcid.org/0000-0001-5584-8592","observed_orcids":["https://orcid.org/0000-0001-5584-8592"]},"institutions":[{"id":"https://openalex.org/I64712228","display_name":"Dnipro University of Technology","ror":"https://ror.org/05hkn5555","country_code":"UA","type":"education","lineage":["https://openalex.org/I64712228"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"N. I. Dereviahina","raw_affiliation_strings":["Department of Hydrogeology and Engineering Geology , Dnipro University of Technology , Yavornytskoho Ave. , 19 , Dnipro , Ukraine , 49005 , tel "],"raw_orcid":"https://orcid.org/0000-0001-5584-8592","affiliations":[{"raw_affiliation_string":"Department of Hydrogeology and Engineering Geology , Dnipro University of Technology , Yavornytskoho Ave. , 19 , Dnipro , Ukraine , 49005 , tel ","institution_ids":["https://openalex.org/I64712228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055130681","display_name":"N.V. Khoziaikina","orcid":"https://orcid.org/0000-0002-4747-3919","observed_orcids":["https://orcid.org/0000-0002-4747-3919"]},"institutions":[{"id":"https://openalex.org/I64712228","display_name":"Dnipro University of Technology","ror":"https://ror.org/05hkn5555","country_code":"UA","type":"education","lineage":["https://openalex.org/I64712228"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"N. V. Khoziaikina","raw_affiliation_strings":["Department of Construction, Geotechnics and Geomechanics , Dnipro University of Technology , Yavornytskoho Ave. , 19 , Dnipro , Ukraine , 49005 , tel "],"raw_orcid":"https://orcid.org/0000-0002-4747-3919","affiliations":[{"raw_affiliation_string":"Department of Construction, Geotechnics and Geomechanics , Dnipro University of Technology , Yavornytskoho Ave. , 19 , Dnipro , Ukraine , 49005 , tel ","institution_ids":["https://openalex.org/I64712228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I64712228"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":"30","first_page":"108","last_page":"118"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13862","display_name":"Soil, Finite Element Methods","score":0.9702000021934509,"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/T13862","display_name":"Soil, Finite Element Methods","score":0.9702000021934509,"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/T12233","display_name":"Geotechnical Engineering and Underground Structures","score":0.021400000900030136,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10233","display_name":"Geotechnical Engineering and Soil Mechanics","score":0.0017999999690800905,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/underground-structures","display_name":"underground structures","score":0.8769999742507935},{"id":"https://openalex.org/keywords/surface-structure","display_name":"surface structure","score":0.9810000061988831},{"id":"https://openalex.org/keywords/stress-strain-state","display_name":"stress-strain state","score":0.7979999780654907},{"id":"https://openalex.org/keywords/finite-element-analysis","display_name":"finite element analysis","score":0.6330000162124634},{"id":"https://openalex.org/keywords/base-plate","display_name":"base plate","score":0.5889999866485596},{"id":"https://openalex.org/keywords/internal-forces","display_name":"internal forces","score":0.46299999952316284},{"id":"https://openalex.org/keywords/displacement","display_name":"displacement","score":0.9890000224113464},{"id":"https://openalex.org/keywords/convergence-conditions","display_name":"convergence conditions","score":0.546999990940094}],"concepts":[{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6636000275611877},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5995000004768372},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.5175999999046326},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4867999851703644},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47780001163482666},{"id":"https://openalex.org/C2780966255","wikidata":"https://www.wikidata.org/wiki/Q5474306","display_name":"Foundation (evidence)","level":2,"score":0.476500004529953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43529999256134033},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.40470001101493835},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.3727000057697296},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.3675999939441681},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.3603000044822693},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3587999939918518},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.3328000009059906},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.29679998755455017},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2903999984264374},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2897999882698059},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27959999442100525},{"id":"https://openalex.org/C126691448","wikidata":"https://www.wikidata.org/wiki/Q2028919","display_name":"Magnitude (astronomy)","level":2,"score":0.26339998841285706},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2574000060558319}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.15802/bttrp2026-30-11","doi":"https://doi.org/10.15802/bttrp2026-30-11","is_oa":true,"landing_page_url":"https://doi.org/10.15802/bttrp2026-30-11","pdf_url":"https://bttrp.ust.edu.ua/article/download/376897/359632","source":{"id":"https://openalex.org/S4210203898","display_name":"Bridges and tunnels Theory Research Practice","issn_l":"2227-1252","issn":["2227-1252","2413-6212"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bridges and tunnels: theory, research, practice","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.15802/bttrp2026-30-11","doi":"https://doi.org/10.15802/bttrp2026-30-11","is_oa":true,"landing_page_url":"https://doi.org/10.15802/bttrp2026-30-11","pdf_url":"https://bttrp.ust.edu.ua/article/download/376897/359632","source":{"id":"https://openalex.org/S4210203898","display_name":"Bridges and tunnels Theory Research Practice","issn_l":"2227-1252","issn":["2227-1252","2413-6212"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bridges and tunnels: theory, research, practice","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/W7225633893.pdf","grobid_xml":"https://content.openalex.org/works/W7225633893.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W2312711717","https://openalex.org/W4379877795","https://openalex.org/W4379877810","https://openalex.org/W7220431296"],"related_works":["https://openalex.org/W2004284703","https://openalex.org/W1965272376","https://openalex.org/W2362105076","https://openalex.org/W2140233909","https://openalex.org/W2078777355","https://openalex.org/W2350059780","https://openalex.org/W2065126702","https://openalex.org/W132560563","https://openalex.org/W1504479944","https://openalex.org/W7216669933"],"abstract_inverted_index":{"Purpose":[0],"is":[1,146],"to":[2,5,41,112,169,214,255],"elaborate":[3],"recommendations":[4],"identify":[6,215],"horizontal":[7,216],"dimensions":[8,110,145,174,217,258],"for":[9,149,159],"the":[10,23,47,56,59,68,87,107,113,118,123,130,143,160,171,184,219,231,238,244,264,267],"calculation":[11,60,108,172,186,220,261],"area":[12,61,109,144,173,221,245,262],"of":[13,22,46,81,120,177,183,218,222,230,237,259,263,269,272],"a":[14,19,31,43,150,205,227,234,260],"ground":[15,24,48,223,276],"foundation":[16,265],"while":[17],"defining":[18],"stress-strain":[20,44,235],"state":[21,45,236],"foundation-underground":[25,49],"and":[26,50,65,72,93,127,140,153,156,181,278,280],"surface":[27,51,73,161,281],"structures":[28,52],"system":[29,239],"using":[30],"finite":[32],"element":[33],"method.":[34],"Methodology.":[35],"The":[36,249],"research":[37],"applied":[38],"numerical":[39],"approach":[40,210],"model":[42],"system.":[53],"To":[54],"evaluate":[55],"impact":[57],"by":[58,142,175,275],"dimensions,":[62],"internal":[63,125],"forces":[64,126],"displacements":[66],"within":[67],"underground":[69,154,279],"structure,":[70,155],"foundation,":[71],"structure":[74,162],"elements":[75],"have":[76],"been":[77,101,167,202,212],"compared":[78],"in":[79,106,117,233,243,266],"terms":[80],"successive":[82,241],"size":[83],"increase.":[84],"Differences":[85],"between":[86,122],"results":[88,116],"were":[89],"assessed":[90],"through":[91],"relative":[92,95,190],"symmetrically":[94],"mean-square":[96,191],"errors.":[97],"Findings.":[98],"It":[99],"has":[100,166,201,211],"defined":[102],"that":[103],"an":[104],"increase":[105,134,180,242],"up":[111],"certain":[114],"point":[115],"decrease":[119],"differences":[121],"obtained":[124],"displacements.":[128],"At":[129],"same":[131],"time,":[132],"further":[133],"may":[135],"stipulate":[136],"their":[137,178],"sharp":[138],"growth":[139],"influence":[141],"more":[147],"essential":[148],"base":[151],"plate":[152],"less":[157],"expressed":[158],"columns.":[163],"An":[164,209],"algorithm":[165,251],"proposed":[168],"determine":[170],"means":[176],"gradual":[179],"comparison":[182,229],"related":[185],"results.":[187],"A":[188],"symmetric":[189],"error":[192],"value":[193,200],"not":[194],"exceeding":[195],"5%":[196],"or":[197],"its":[198],"minimum":[199],"assumed":[203],"as":[204],"sufficiency":[206],"criterion.":[207],"Originality.":[208],"developed":[213,250],"foundations":[224],"based":[225],"upon":[226],"quantitative":[228],"changes":[232],"under":[240],"sizes.":[246],"Practical":[247],"value.":[248],"makes":[252],"it":[253],"possible":[254],"define":[256],"reasonably":[257],"process":[268],"finite-element":[270],"simulation":[271],"common":[273],"action":[274],"foundation;":[277],"structures.":[282]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-10T00:00:00"}