{"id":"https://openalex.org/W2266218136","doi":"https://doi.org/10.1137/15m1020113","title":"Analysis of the Incompatibility Operator and Application in Intrinsic Elasticity with Dislocations","display_name":"Analysis of the Incompatibility Operator and Application in Intrinsic Elasticity with Dislocations","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2266218136","doi":"https://doi.org/10.1137/15m1020113","mag":"2266218136"},"language":"en","primary_location":{"id":"doi:10.1137/15m1020113","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1020113","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"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/A5038161132","display_name":"Samuel Amstutz","orcid":"https://orcid.org/0000-0002-0736-833X"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Samuel Amstutz","raw_affiliation_strings":["EA2151 Laboratoire de Math\u00e9matiques d'Avignon","Laboratoire d'Analyse non lin\u00e9aire et G\u00e9om\u00e9trie"],"affiliations":[{"raw_affiliation_string":"EA2151 Laboratoire de Math\u00e9matiques d'Avignon","institution_ids":["https://openalex.org/I4210155549"]},{"raw_affiliation_string":"Laboratoire d'Analyse non lin\u00e9aire et G\u00e9om\u00e9trie","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076270486","display_name":"Nicolas Van Goethem","orcid":"https://orcid.org/0000-0002-5356-8383"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nicolas Van Goethem","raw_affiliation_strings":["Centro de Matem\u00e1tica e Aplica\u00e7\u00f5es Fundamentais"],"affiliations":[{"raw_affiliation_string":"Centro de Matem\u00e1tica e Aplica\u00e7\u00f5es Fundamentais","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038161132"],"corresponding_institution_ids":["https://openalex.org/I4210155549"],"apc_list":null,"apc_paid":null,"fwci":3.7211,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.91998801,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"48","issue":"1","first_page":"320","last_page":"348"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998999834060669,"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/T10514","display_name":"Numerical methods in engineering","score":0.9998999834060669,"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/T11558","display_name":"Composite Material Mechanics","score":0.9995999932289124,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9993000030517578,"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/mathematics","display_name":"Mathematics","score":0.7470679879188538},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.6717519760131836},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6501308679580688},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6079591512680054},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5585271120071411},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5373470187187195},{"id":"https://openalex.org/keywords/curl","display_name":"Curl (programming language)","score":0.5141332745552063},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4852566719055176},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2715809941291809},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11201322078704834},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07539120316505432}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7470679879188538},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.6717519760131836},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6501308679580688},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6079591512680054},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5585271120071411},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5373470187187195},{"id":"https://openalex.org/C147663694","wikidata":"https://www.wikidata.org/wiki/Q1144631","display_name":"Curl (programming language)","level":2,"score":0.5141332745552063},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4852566719055176},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2715809941291809},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11201322078704834},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07539120316505432},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/15m1020113","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1020113","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.46000000834465027,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W175246081","https://openalex.org/W584128836","https://openalex.org/W617333099","https://openalex.org/W1598074861","https://openalex.org/W1674659126","https://openalex.org/W1944684138","https://openalex.org/W1973245173","https://openalex.org/W1974627072","https://openalex.org/W1974658271","https://openalex.org/W1975050444","https://openalex.org/W1989646665","https://openalex.org/W1994883226","https://openalex.org/W1999417649","https://openalex.org/W2006171584","https://openalex.org/W2006286592","https://openalex.org/W2027524422","https://openalex.org/W2037720294","https://openalex.org/W2070959866","https://openalex.org/W2073370369","https://openalex.org/W2076582418","https://openalex.org/W2079233454","https://openalex.org/W2142034848","https://openalex.org/W2165162876","https://openalex.org/W2477040106","https://openalex.org/W2964232807","https://openalex.org/W4243738351"],"related_works":["https://openalex.org/W2382844561","https://openalex.org/W571281153","https://openalex.org/W2083529992","https://openalex.org/W816511862","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W2238883956"],"abstract_inverted_index":{"The":[0],"incompatibility":[1,66],"operator":[2],"arises":[3],"in":[4,13,88],"the":[5,14,24,28,36,39,42,65,95],"modeling":[6],"of":[7,27,33,44,59,78,98],"elastic":[8,29],"materials":[9],"with":[10,64],"dislocations":[11],"and":[12,41,51,76,83],"intrinsic":[15],"approach":[16],"to":[17,23,38,71],"elasticity,":[18],"where":[19],"it":[20],"is":[21],"related":[22],"Riemannian":[25],"curvature":[26],"metric.":[30],"It":[31,68],"consists":[32],"applying":[34],"successively":[35],"curl":[37],"rows":[40],"columns":[43],"a":[45,56],"second-rank":[46],"tensor,":[47],"usually":[48],"chosen":[49],"symmetric":[50],"divergence-free.":[52],"This":[53],"paper":[54],"presents":[55],"systematic":[57],"analysis":[58],"boundary":[60,80],"value":[61],"problems":[62],"associated":[63],"operator.":[67],"provides":[69],"answers":[70],"such":[72],"questions":[73],"as":[74],"existence":[75],"uniqueness":[77],"solutions,":[79],"trace":[81],"lifting,":[82],"transmission":[84],"conditions.":[85],"Physical":[86],"interpretations":[87],"dislocation":[89],"models":[90],"are":[91],"also":[92],"discussed,":[93],"but":[94],"application":[96],"range":[97],"these":[99],"results":[100],"far":[101],"exceed":[102],"any":[103],"specific":[104],"physical":[105],"model.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}