{"id":"https://openalex.org/W4200119837","doi":"https://doi.org/10.1002/nag.3300","title":"An analytic element model for highly fractured elastic media","display_name":"An analytic element model for highly fractured elastic media","publication_year":2021,"publication_date":"2021-12-07","ids":{"openalex":"https://openalex.org/W4200119837","doi":"https://doi.org/10.1002/nag.3300"},"language":"en","primary_location":{"id":"doi:10.1002/nag.3300","doi":"https://doi.org/10.1002/nag.3300","is_oa":true,"landing_page_url":"https://doi.org/10.1002/nag.3300","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/nag.3300","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/nag.3300","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009890068","display_name":"Otto D. L. Strack","orcid":"https://orcid.org/0000-0001-9512-2825","observed_orcids":["https://orcid.org/0000-0001-9512-2825"]},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Otto D.L. Strack","raw_affiliation_strings":["Department of Civil, Environmental, and Geo-Engineering, University of Minnesota, Minneapolis, MN, USA"],"raw_orcid":"https://orcid.org/0000-0001-9512-2825","affiliations":[{"raw_affiliation_string":"Department of Civil, Environmental, and Geo-Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045842561","display_name":"Erik A. L. Toller","orcid":"https://orcid.org/0000-0002-7793-3998","observed_orcids":["https://orcid.org/0000-0002-7793-3998"]},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Erik A.L. Toller","raw_affiliation_strings":["Department of Earth Sciences, Uppsala University, Uppsala, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-7793-3998","affiliations":[{"raw_affiliation_string":"Department of Earth Sciences, Uppsala University, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045842561"],"corresponding_institution_ids":["https://openalex.org/I123387679"],"apc_list":{"value":3800,"currency":"USD","value_usd":3800},"apc_paid":{"value":3800,"currency":"USD","value_usd":3800},"fwci":0.4489,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.4670669,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"46","issue":"2","first_page":"297","last_page":"314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10161","display_name":"Rock Mechanics and Modeling","score":0.5292999744415283,"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/T10161","display_name":"Rock Mechanics and Modeling","score":0.5292999744415283,"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.21070000529289246,"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/T10514","display_name":"Numerical methods in engineering","score":0.07859999686479568,"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/analytic-element-method","display_name":"analytic element method","score":0.8600000143051147},{"id":"https://openalex.org/keywords/elastic-medium","display_name":"elastic medium","score":0.5899999737739563},{"id":"https://openalex.org/keywords/intersecting-cracks","display_name":"intersecting cracks","score":0.9330000281333923},{"id":"https://openalex.org/keywords/crack-tip-singularity","display_name":"crack tip singularity","score":0.7450000047683716},{"id":"https://openalex.org/keywords/uniform-stress","display_name":"uniform stress","score":0.6050000190734863},{"id":"https://openalex.org/keywords/in-plane-strain","display_name":"in-plane strain","score":0.7940000295639038},{"id":"https://openalex.org/keywords/stress-trajectories","display_name":"stress trajectories","score":0.8560000061988831}],"concepts":[{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.7495819926261902},{"id":"https://openalex.org/C29320194","wikidata":"https://www.wikidata.org/wiki/Q7201019","display_name":"Plane stress","level":3,"score":0.6937599182128906},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6130729913711548},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5865041017532349},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.5714929103851318},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5284870862960815},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.4796736240386963},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.46120068430900574},{"id":"https://openalex.org/C518456604","wikidata":"https://www.wikidata.org/wiki/Q899599","display_name":"Stress\u2013strain curve","level":3,"score":0.43711498379707336},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.43409836292266846},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4247654676437378},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.4150509834289551},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4048587381839752},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2599296569824219},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.2538008689880371},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.23244014382362366},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16083773970603943},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/nag.3300","doi":"https://doi.org/10.1002/nag.3300","is_oa":true,"landing_page_url":"https://doi.org/10.1002/nag.3300","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/nag.3300","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"pmh:oai:DiVA.org:uu-461338","doi":null,"is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-461338","pdf_url":null,"source":{"id":"https://openalex.org/S4306402042","display_name":"Uppsala University Publications (Uppsala University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I123387679","host_organization_name":"Uppsala University","host_organization_lineage":["https://openalex.org/I123387679"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1002/nag.3300","doi":"https://doi.org/10.1002/nag.3300","is_oa":true,"landing_page_url":"https://doi.org/10.1002/nag.3300","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/nag.3300","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal for Numerical and Analytical Methods in Geomechanics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320327853","display_name":"Trafikverket","ror":"https://ror.org/000nes056"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4200119837.pdf","grobid_xml":"https://content.openalex.org/works/W4200119837.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W71503728","https://openalex.org/W1576674888","https://openalex.org/W1965365598","https://openalex.org/W1974767591","https://openalex.org/W1974777077","https://openalex.org/W1985789707","https://openalex.org/W1987576086","https://openalex.org/W2004288295","https://openalex.org/W2004446874","https://openalex.org/W2020378393","https://openalex.org/W2035453010","https://openalex.org/W2043910367","https://openalex.org/W2051534625","https://openalex.org/W2065609268","https://openalex.org/W2073775990","https://openalex.org/W2081760454","https://openalex.org/W2093690869","https://openalex.org/W2098658408","https://openalex.org/W2124985594","https://openalex.org/W2158423145","https://openalex.org/W2272426561","https://openalex.org/W2480668022","https://openalex.org/W2482939998","https://openalex.org/W2562458334","https://openalex.org/W2585289682","https://openalex.org/W2724503895","https://openalex.org/W2789379102","https://openalex.org/W2904799412","https://openalex.org/W3004487773","https://openalex.org/W3017101360","https://openalex.org/W3104907150","https://openalex.org/W3135054202","https://openalex.org/W4232529903"],"related_works":["https://openalex.org/W3160959101","https://openalex.org/W43029613","https://openalex.org/W7097819230","https://openalex.org/W2742924933","https://openalex.org/W4244836843","https://openalex.org/W1983483957","https://openalex.org/W2743170878","https://openalex.org/W1986245517","https://openalex.org/W1999829061","https://openalex.org/W2028479781"],"abstract_inverted_index":{"Abstract":[0],"We":[1,66],"present":[2],"an":[3,7,68],"analytic":[4],"formulation":[5],"for":[6,78,83],"elastic":[8],"medium":[9],"under":[10],"uniform":[11],"stress":[12,75],"and":[13,73,82],"in":[14,44,61],"plane":[15],"strain,":[16],"with":[17],"a":[18,53,62],"very":[19],"large":[20],"number":[21],"of":[22,34,46,49,52,70],"cracks":[23,36,72],"that":[24],"are":[25,37],"allowed":[26],"to":[27],"intersect.":[28],"The":[29],"singularities":[30],"at":[31,87],"the":[32,35,40,58,79,90],"tips":[33],"represented":[38],"exactly;":[39],"solution":[41],"is":[42],"written":[43],"terms":[45],"series":[47],"expansions":[48],"negative":[50],"powers":[51],"complex":[54,63],"variable":[55],"defined":[56],"outside":[57],"unit":[59],"circle":[60],"reference":[64],"plane.":[65],"modeled":[67],"assembly":[69],"10,000":[71],"show":[74],"trajectories":[76],"both":[77],"whole":[80],"model":[81],"individual":[84],"cracks,":[85],"chosen":[86],"random":[88],"from":[89],"assembly.":[91]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2021-12-31T00:00:00"}
