{"id":"https://openalex.org/W2004288295","doi":"https://doi.org/10.1002/(sici)1096-9853(199702)21:2<77::aid-nag857>3.0.co;2-m","title":"A COMPLEX VARIABLE SOLUTION FOR A DEFORMING CIRCULAR TUNNEL IN AN ELASTIC HALF-PLANE","display_name":"A COMPLEX VARIABLE SOLUTION FOR A DEFORMING CIRCULAR TUNNEL IN AN ELASTIC HALF-PLANE","publication_year":1997,"publication_date":"1997-02-01","ids":{"openalex":"https://openalex.org/W2004288295","doi":"https://doi.org/10.1002/(sici)1096-9853(199702)21:2<77::aid-nag857>3.0.co;2-m","mag":"2004288295"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1096-9853(199702)21:2<77::aid-nag857>3.0.co;2-m","doi":"https://doi.org/10.1002/(sici)1096-9853(199702)21:2<77::aid-nag857>3.0.co;2-m","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1096-9853(199702)21:2<77::aid-nag857>3.0.co;2-m","pdf_url":null,"source":{"id":"https://openalex.org/S10012645","display_name":"International Journal for Numerical and Analytical Methods in Geomechanics","issn_l":"0363-9061","issn":["0363-9061","1096-9853"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical and Analytical Methods in Geomechanics","raw_type":"journal-article"},"volume":null,"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/A5066080114","display_name":"Arnold Verruijt","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"A. Verruijt","raw_affiliation_strings":["Faculty of Civil Engineering, TU-Delft, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Civil Engineering, TU-Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5066080114"],"corresponding_institution_ids":["https://openalex.org/I98358874"],"apc_list":{"value":4530,"currency":"USD","value_usd":4530},"apc_paid":null,"fwci":6.3214,"has_fulltext":false,"cited_by_count":308,"citation_normalized_percentile":{"value":0.94783347,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"21","issue":"2","first_page":"77","last_page":"89"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12233","display_name":"Geotechnical Engineering and Underground Structures","score":0.361299991607666,"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"}},"topics":[{"id":"https://openalex.org/T12233","display_name":"Geotechnical Engineering and Underground Structures","score":0.361299991607666,"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.257099986076355,"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/T11046","display_name":"Geotechnical Engineering and Analysis","score":0.22679999470710754,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/elastic-half-plane","display_name":"elastic half-plane","score":0.9860000014305115},{"id":"https://openalex.org/keywords/complex-variable-method","display_name":"complex variable method","score":0.8569999933242798},{"id":"https://openalex.org/keywords/conformal-mapping","display_name":"conformal mapping","score":0.9419999718666077},{"id":"https://openalex.org/keywords/laurent-series","display_name":"Laurent series","score":0.7799999713897705},{"id":"https://openalex.org/keywords/stress-function","display_name":"stress function","score":0.878000020980835},{"id":"https://openalex.org/keywords/tunnel-settlement","display_name":"tunnel settlement","score":0.6819999814033508}],"concepts":[{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.7896450757980347},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.6669263243675232},{"id":"https://openalex.org/C184311908","wikidata":"https://www.wikidata.org/wiki/Q425432","display_name":"Laurent series","level":2,"score":0.6166294813156128},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5590888261795044},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5583382844924927},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5518003702163696},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5428947806358337},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5349598526954651},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.5262733697891235},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4688500165939331},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45049017667770386},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43545860052108765},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4290340542793274},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.4123145341873169},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.32715335488319397},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21912625432014465},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.12418612837791443},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/(sici)1096-9853(199702)21:2<77::aid-nag857>3.0.co;2-m","doi":"https://doi.org/10.1002/(sici)1096-9853(199702)21:2<77::aid-nag857>3.0.co;2-m","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1096-9853(199702)21:2<77::aid-nag857>3.0.co;2-m","pdf_url":null,"source":{"id":"https://openalex.org/S10012645","display_name":"International Journal for Numerical and Analytical Methods in Geomechanics","issn_l":"0363-9061","issn":["0363-9061","1096-9853"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical and Analytical Methods in Geomechanics","raw_type":"journal-article"},{"id":"doi:10.1002/(sici)1096-9853(199702)21:2<77::aid-nag857>3.3.co;2-d","doi":"https://doi.org/10.1002/(sici)1096-9853(199702)21:2<77::aid-nag857>3.3.co;2-d","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1096-9853(199702)21:2<77::aid-nag857>3.3.co;2-d","pdf_url":null,"source":{"id":"https://openalex.org/S10012645","display_name":"International Journal for Numerical and Analytical Methods in Geomechanics","issn_l":"0363-9061","issn":["0363-9061","1096-9853"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical and Analytical Methods in Geomechanics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W61648355","https://openalex.org/W598127751","https://openalex.org/W1543511296","https://openalex.org/W1971202259","https://openalex.org/W2020363785","https://openalex.org/W2061391314","https://openalex.org/W2134556693","https://openalex.org/W2151626434","https://openalex.org/W2724503895","https://openalex.org/W3146106300","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4324290356","https://openalex.org/W2040759203","https://openalex.org/W38289259","https://openalex.org/W2137424811","https://openalex.org/W2159884643","https://openalex.org/W3004594521","https://openalex.org/W1973669424","https://openalex.org/W1995008220","https://openalex.org/W2002240636","https://openalex.org/W2364840877"],"abstract_inverted_index":{"An":[0],"analytical":[1,51],"solution":[2,22],"is":[3,69,81,105],"presented":[4],"of":[5,41,50,60,65,87,100],"problems":[6],"for":[7],"an":[8,56],"elastic":[9],"half-plane":[10],"with":[11,26],"a":[12,17,27,31,48,61,77,84,91],"circular":[13,32],"tunnel,":[14],"which":[15],"undergoes":[16],"certain":[18],"given":[19],"deformation.":[20],"The":[21,34],"uses":[23],"complex":[24],"variables,":[25],"conformal":[28],"mapping":[29],"onto":[30],"ring.":[33],"coefficients":[35],"in":[36,71],"the":[37,42,58,66,88,98,101],"Laurent":[38],"series":[39],"expansion":[40],"stress":[43],"functions":[44],"are":[45],"determined":[46],"by":[47,83,110],"combination":[49],"and":[52],"numerical":[53],"computations.":[54],"As":[55],"example":[57],"case":[59],"uniform":[62,78],"radial":[63,79],"displacement":[64,80,86],"tunnel":[67,89],"boundary":[68],"considered":[70],"some":[72],"detail.":[73],"It":[74],"appears":[75],"that":[76,97],"accompanied":[82],"downward":[85],"as":[90],"whole.":[92],"This":[93],"phenomenon":[94],"also":[95],"means":[96],"distribution":[99],"apparent":[102],"spring":[103],"constant":[104],"strongly":[106],"non-uniform.":[107],"\u00a9":[108],"1997":[109],"John":[111],"Wiley":[112],"&":[113],"Sons,":[114],"Ltd.":[115]},"counts_by_year":[{"year":2026,"cited_by_count":17},{"year":2025,"cited_by_count":24},{"year":2024,"cited_by_count":28},{"year":2023,"cited_by_count":35},{"year":2022,"cited_by_count":26},{"year":2021,"cited_by_count":27},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":23},{"year":2018,"cited_by_count":19},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}
