{"id":"https://openalex.org/W2018805207","doi":"https://doi.org/10.3103/s0025654407050111","title":"Application of the multipole method to the problem on two close holes","display_name":"Application of the multipole method to the problem on two close holes","publication_year":2007,"publication_date":"2007-10-01","ids":{"openalex":"https://openalex.org/W2018805207","doi":"https://doi.org/10.3103/s0025654407050111","mag":"2018805207"},"language":"en","primary_location":{"id":"doi:10.3103/s0025654407050111","doi":"https://doi.org/10.3103/s0025654407050111","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0025654407050111","pdf_url":null,"source":{"id":"https://openalex.org/S101923274","display_name":"Mechanics of Solids","issn_l":"0025-6544","issn":["0025-6544","1934-7936"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mechanics of Solids","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5043076018","display_name":"V. V. Mokryakov","orcid":"https://orcid.org/0000-0001-7385-8305","observed_orcids":["https://orcid.org/0000-0001-7385-8305"]},"institutions":[{"id":"https://openalex.org/I4210165852","display_name":"Schlumberger (Russia)","ror":"https://ror.org/05waykt95","country_code":"RU","type":"company","lineage":["https://openalex.org/I4210165852"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"V. V. Mokryakov","raw_affiliation_strings":["Shlumberger Technological Company Ltd., Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shlumberger Technological Company Ltd., Moscow, Russia","institution_ids":["https://openalex.org/I4210165852"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043076018"],"corresponding_institution_ids":["https://openalex.org/I4210165852"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"42","issue":"5","first_page":"771","last_page":"785"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13261","display_name":"Elasticity and Wave Propagation","score":0.9872999787330627,"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.9872999787330627,"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/T10396","display_name":"Fatigue and fracture mechanics","score":0.0020000000949949026,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.0012000000569969416,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/multipole-method","display_name":"multipole method","score":0.9300000071525574},{"id":"https://openalex.org/keywords/hole-interaction","display_name":"hole interaction","score":0.6489999890327454},{"id":"https://openalex.org/keywords/plane-elasticity","display_name":"plane elasticity","score":0.9110000133514404},{"id":"https://openalex.org/keywords/biaxial-loading","display_name":"biaxial loading","score":0.9890000224113464},{"id":"https://openalex.org/keywords/stress-concentration","display_name":"stress concentration","score":0.9769999980926514},{"id":"https://openalex.org/keywords/stress-field","display_name":"stress field","score":0.375},{"id":"https://openalex.org/keywords/hole-orientation","display_name":"hole orientation","score":0.8080000281333923},{"id":"https://openalex.org/keywords/peak-stress","display_name":"peak stress","score":0.7329999804496765}],"concepts":[{"id":"https://openalex.org/C52765159","wikidata":"https://www.wikidata.org/wiki/Q1027847","display_name":"Multipole expansion","level":2,"score":0.7378110289573669},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.629303514957428},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.5468343496322632},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.5325592756271362},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5281897783279419},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49984288215637207},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.48190194368362427},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.4600598216056824},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.45040541887283325},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.43954482674598694},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.43245822191238403},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4237521290779114},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3854602873325348},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3227846622467041},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08306631445884705},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3103/s0025654407050111","doi":"https://doi.org/10.3103/s0025654407050111","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0025654407050111","pdf_url":null,"source":{"id":"https://openalex.org/S101923274","display_name":"Mechanics of Solids","issn_l":"0025-6544","issn":["0025-6544","1934-7936"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mechanics of Solids","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334801","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W29367858","https://openalex.org/W190006759","https://openalex.org/W193186807","https://openalex.org/W1497417831","https://openalex.org/W1525618410","https://openalex.org/W1609413062","https://openalex.org/W1622950511","https://openalex.org/W2002311272","https://openalex.org/W2037523170","https://openalex.org/W2063910454","https://openalex.org/W2075442379","https://openalex.org/W2078252128","https://openalex.org/W2088109559","https://openalex.org/W2161414950","https://openalex.org/W2469840084","https://openalex.org/W2591340843","https://openalex.org/W2991751044","https://openalex.org/W2991840464","https://openalex.org/W3038165843","https://openalex.org/W4206272058","https://openalex.org/W4210892436","https://openalex.org/W4248978046","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4283171651","https://openalex.org/W3083633374","https://openalex.org/W1980766854","https://openalex.org/W1985601403","https://openalex.org/W3172584534","https://openalex.org/W7061976826","https://openalex.org/W2471353359","https://openalex.org/W1964322398","https://openalex.org/W2187941170","https://openalex.org/W2606207865"],"abstract_inverted_index":{"We":[0,20,38,100],"consider":[1],"the":[2,7,22,26,32,47,50,53,67,73,76,86,98,103,106,111,114,121,124,131],"plane":[3],"elasticity":[4],"problem":[5,45],"on":[6,46,72,110,120],"interaction":[8,30],"of":[9,28,31,49,52,60,69,75,78,97,105,116,123,126],"two":[10],"close":[11],"identical":[12],"holes":[13,33,79,127],"under":[14],"biaxial":[15],"loading":[16],"conditions":[17],"at":[18],"infinity.":[19],"study":[21],"stress":[23,70,90,108,118],"state":[24],"in":[25],"region":[27],"mutual":[29],"and":[34,80,113],"near":[35],"their":[36],"contours.":[37],"propose":[39],"a":[40,58],"method":[41],"for":[42,94],"solving":[43],"this":[44],"basis":[48],"representation":[51],"jump":[54],"displacement":[55],"function":[56],"as":[57],"sum":[59],"multipoles.":[61],"Special":[62],"attention":[63],"is":[64],"paid":[65],"to":[66,85,130],"dependence":[68],"concentration":[71,119],"parameters":[74],"system":[77],"its":[81],"orientation":[82,122],"with":[83,128],"respect":[84,129],"applied":[87],"load.":[88,133],"The":[89],"fields":[91],"are":[92],"obtained":[93],"various":[95],"locations":[96],"holes.":[99],"also":[101],"present":[102],"dependences":[104],"maximum":[107,117],"attained":[109],"contour":[112],"point":[115],"pair":[125],"external":[132]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2016-06-24T00:00:00"}