{"id":"https://openalex.org/W4304585324","doi":"https://doi.org/10.3390/computation10100184","title":"Numerical Analysis of Deformation Characteristics of Elastic Inhomogeneous Rotational Shells at Arbitrary Displacements and Rotation Angles","display_name":"Numerical Analysis of Deformation Characteristics of Elastic Inhomogeneous Rotational Shells at Arbitrary Displacements and Rotation Angles","publication_year":2022,"publication_date":"2022-10-11","ids":{"openalex":"https://openalex.org/W4304585324","doi":"https://doi.org/10.3390/computation10100184"},"language":"en","primary_location":{"id":"doi:10.3390/computation10100184","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation10100184","pdf_url":"https://www.mdpi.com/2079-3197/10/10/184/pdf?version=1665541854","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/10/10/184/pdf?version=1665541854","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079700276","display_name":"V. G. Dmitriev","orcid":null},"institutions":[{"id":"https://openalex.org/I45571689","display_name":"Moscow Aviation Institute","ror":"https://ror.org/033zpbv42","country_code":"RU","type":"education","lineage":["https://openalex.org/I45571689"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Vladimir G. Dmitriev","raw_affiliation_strings":["Moscow Aviation Institute (National Research University), 4 Volokolamskoe Highway, 125993 Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Moscow Aviation Institute (National Research University), 4 Volokolamskoe Highway, 125993 Moscow, Russia","institution_ids":["https://openalex.org/I45571689"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104093724","display_name":"Alexander N. Danilin","orcid":null},"institutions":[{"id":"https://openalex.org/I45571689","display_name":"Moscow Aviation Institute","ror":"https://ror.org/033zpbv42","country_code":"RU","type":"education","lineage":["https://openalex.org/I45571689"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander N. Danilin","raw_affiliation_strings":["Moscow Aviation Institute (National Research University), 4 Volokolamskoe Highway, 125993 Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Moscow Aviation Institute (National Research University), 4 Volokolamskoe Highway, 125993 Moscow, Russia","institution_ids":["https://openalex.org/I45571689"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075589278","display_name":"Anastasiya R. Popova","orcid":null},"institutions":[{"id":"https://openalex.org/I45571689","display_name":"Moscow Aviation Institute","ror":"https://ror.org/033zpbv42","country_code":"RU","type":"education","lineage":["https://openalex.org/I45571689"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Anastasiya R. Popova","raw_affiliation_strings":["Moscow Aviation Institute (National Research University), 4 Volokolamskoe Highway, 125993 Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Moscow Aviation Institute (National Research University), 4 Volokolamskoe Highway, 125993 Moscow, Russia","institution_ids":["https://openalex.org/I45571689"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065722608","display_name":"Natalia V. Pshenichnova","orcid":null},"institutions":[{"id":"https://openalex.org/I45571689","display_name":"Moscow Aviation Institute","ror":"https://ror.org/033zpbv42","country_code":"RU","type":"education","lineage":["https://openalex.org/I45571689"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Natalia V. Pshenichnova","raw_affiliation_strings":["Moscow Aviation Institute (National Research University), 4 Volokolamskoe Highway, 125993 Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Moscow Aviation Institute (National Research University), 4 Volokolamskoe Highway, 125993 Moscow, Russia","institution_ids":["https://openalex.org/I45571689"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5079700276"],"corresponding_institution_ids":["https://openalex.org/I45571689"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.4974,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.58410557,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"10","issue":"10","first_page":"184","last_page":"184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13020","display_name":"Heat Transfer and Mathematical Modeling","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T13020","display_name":"Heat Transfer and Mathematical Modeling","score":0.9994000196456909,"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/T13159","display_name":"Structural mechanics and materials","score":0.9976999759674072,"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/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/hyperelastic-material","display_name":"Hyperelastic material","score":0.819568932056427},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7156407833099365},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.6945873498916626},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.5638630390167236},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5475614070892334},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5474385619163513},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.5287394523620605},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.5098320841789246},{"id":"https://openalex.org/keywords/shell","display_name":"Shell (structure)","score":0.5026369094848633},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4634762704372406},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4626278579235077},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.440125435590744},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4262707531452179},{"id":"https://openalex.org/keywords/finite-strain-theory","display_name":"Finite strain theory","score":0.4262695908546448},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40313929319381714},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.35870882868766785},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3507562279701233},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29138457775115967},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.25804251432418823},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.13072454929351807}],"concepts":[{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.819568932056427},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7156407833099365},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.6945873498916626},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.5638630390167236},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5475614070892334},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5474385619163513},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.5287394523620605},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.5098320841789246},{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.5026369094848633},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4634762704372406},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4626278579235077},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.440125435590744},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4262707531452179},{"id":"https://openalex.org/C163892269","wikidata":"https://www.wikidata.org/wiki/Q15300737","display_name":"Finite strain theory","level":3,"score":0.4262695908546448},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40313929319381714},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.35870882868766785},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3507562279701233},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29138457775115967},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.25804251432418823},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.13072454929351807},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/computation10100184","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation10100184","pdf_url":"https://www.mdpi.com/2079-3197/10/10/184/pdf?version=1665541854","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:88364434674a4807a1f7e92194ccf17b","is_oa":true,"landing_page_url":"https://doaj.org/article/88364434674a4807a1f7e92194ccf17b","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 10, Iss 10, p 184 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2079-3197/10/10/184/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/computation10100184","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation; Volume 10; Issue 10; Pages: 184","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/computation10100184","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation10100184","pdf_url":"https://www.mdpi.com/2079-3197/10/10/184/pdf?version=1665541854","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2951095138","display_name":null,"funder_award_id":"20-08-0","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"}],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4304585324.pdf","grobid_xml":"https://content.openalex.org/works/W4304585324.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W2771166119","https://openalex.org/W2782581445","https://openalex.org/W2899049429","https://openalex.org/W2903411621","https://openalex.org/W2936710691","https://openalex.org/W2955108315","https://openalex.org/W2965810560","https://openalex.org/W2966603924","https://openalex.org/W2968155922","https://openalex.org/W2975090945","https://openalex.org/W2975146828","https://openalex.org/W2989798533","https://openalex.org/W2999281383","https://openalex.org/W3044521211","https://openalex.org/W3045605120","https://openalex.org/W3045747974","https://openalex.org/W3045903681","https://openalex.org/W3046044969","https://openalex.org/W3046111151","https://openalex.org/W3046219178","https://openalex.org/W3107617991","https://openalex.org/W3108906879","https://openalex.org/W3110212559","https://openalex.org/W3110583617","https://openalex.org/W3136360847","https://openalex.org/W3153595988","https://openalex.org/W3191186785","https://openalex.org/W3193400551","https://openalex.org/W3193903485","https://openalex.org/W3195052434","https://openalex.org/W3196107572","https://openalex.org/W3197880394","https://openalex.org/W6799981234","https://openalex.org/W6800113938","https://openalex.org/W6800247391","https://openalex.org/W6800427534","https://openalex.org/W6801054146"],"related_works":["https://openalex.org/W77938585","https://openalex.org/W4317931806","https://openalex.org/W4251121595","https://openalex.org/W2260378622","https://openalex.org/W3038001940","https://openalex.org/W4250461743","https://openalex.org/W4380303640","https://openalex.org/W3114093281","https://openalex.org/W4295736060","https://openalex.org/W4220931593"],"abstract_inverted_index":{"Adequate":[0],"mathematical":[1,163],"models":[2,164],"and":[3,26,96,101,134,139,158,165,185],"computational":[4,61,166],"algorithms":[5,167],"are":[6],"developed":[7,162],"in":[8,47,154,171],"this":[9],"study":[10,175],"to":[11,41,174],"investigate":[12],"specific":[13],"features":[14,107],"of":[15,19,30,76,83,89,94,99,108,115,118,125,137,146,149,177,180],"the":[16,31,43,51,65,77,81,105,113,126,132,144,147,150,156,172],"deformation":[17,106,148],"processes":[18],"elastic":[20,109],"rotational":[21],"shells":[22,111,176],"at":[23],"large":[24],"displacements":[25],"arbitrary":[27],"rotation":[28,178],"angles":[29],"normal":[32],"line.":[33],"A":[34],"finite":[35,57],"difference":[36,58],"method":[37,79],"(FDM)":[38],"is":[39,70,121],"used":[40],"discretize":[42],"original":[44],"continuum":[45],"problem":[46,69],"spatial":[48],"variables,":[49],"replacing":[50],"differential":[52],"operators":[53],"with":[54,80],"a":[55,73],"second-order":[56,90],"approximation.":[59],"The":[60,92,123,161],"algorithm":[62],"for":[63],"solving":[64],"nonlinear":[66],"boundary":[67],"value":[68],"based":[71],"on":[72,104],"quasi-dynamic":[74],"form":[75],"ascertainment":[78],"construction":[82],"an":[84],"explicit":[85],"two-layer":[86],"time-difference":[87],"scheme":[88],"accuracy.":[91],"influence":[93],"physical":[95,133],"mechanical":[97,135],"characteristics":[98,136],"isotropic":[100,138],"composite":[102,140],"materials":[103,141,184],"spherical":[110,152],"under":[112],"action":[114],"surface":[116],"loading":[117],"\u201ctracking\u201d":[119],"type":[120],"investigated.":[122],"results":[124],"studies":[127],"conducted":[128],"have":[129],"shown":[130],"that":[131],"significantly":[142],"affect":[143],"nature":[145],"clamped":[151],"shell":[153],"both":[155],"subcritical":[157],"post-critical":[159],"domains.":[160],"can":[168],"be":[169],"applied":[170],"future":[173],"made":[179],"hyperelastic":[181],"(non-linearly":[182],"elastic)":[183],"soft":[186],"shells.":[187]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2022-10-12T00:00:00"}
