{"id":"https://openalex.org/W7214340834","doi":"https://doi.org/10.48550/arxiv.2609.29614","title":"Semidiscrete Modeling of Dislocation-Disclination Systems: Finite Element Formulation","display_name":"Semidiscrete Modeling of Dislocation-Disclination Systems: Finite Element Formulation","publication_year":2026,"publication_date":"2026-08-28","ids":{"openalex":"https://openalex.org/W7214340834","doi":"https://doi.org/10.48550/arxiv.2609.29614"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.29614","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29614","pdf_url":"https://arxiv.org/pdf/2609.29614","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.29614","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049443053","display_name":"Pierluigi Cesana","orcid":"https://orcid.org/0000-0002-0304-9382","observed_orcids":["https://orcid.org/0000-0002-0304-9382"]},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]},{"id":"https://openalex.org/I4405286446","display_name":"Institute of Mathematics for Industry, Kyushu University","ror":"https://ror.org/0257yze86","country_code":"JP","type":"facility","lineage":["https://openalex.org/I135598925","https://openalex.org/I4405286446"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Cesana, Pierluigi","raw_affiliation_strings":["Institute of Mathematics for Industry , Kyushu University , Japan,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics for Industry , Kyushu University , Japan,","institution_ids":["https://openalex.org/I135598925","https://openalex.org/I4405286446"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5116055475","display_name":"Edoardo Fabbrini","orcid":"https://orcid.org/0009-0005-1475-254X","observed_orcids":["https://orcid.org/0009-0005-1475-254X"]},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Fabbrini, Edoardo","raw_affiliation_strings":["SACRA , Graduate School of Science , Kyoto University , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SACRA , Graduate School of Science , Kyoto University , Japan","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008797638","display_name":"Andr\u00e9s A. Le\u00f3n Baldelli","orcid":"https://orcid.org/0000-0002-3019-602X","observed_orcids":["https://orcid.org/0000-0002-3019-602X","https://orcid.org/0000-0002-5261-7681"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210133716","display_name":"Institut Jean Le Rond d'Alembert","ror":"https://ror.org/043we9s22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210095849","https://openalex.org/I4210133716"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Baldelli, Andr\u00e9s A. Le\u00f3n","raw_affiliation_strings":["Sorbonne Universit\u00e9 , CNRS , Institut Jean Le Rond d'Alembert , France ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9 , CNRS , Institut Jean Le Rond d'Alembert , France ,","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210133716"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026939776","display_name":"Marco Morandotti","orcid":"https://orcid.org/0000-0003-3528-6152","observed_orcids":["https://orcid.org/0000-0003-3528-6152","https://orcid.org/0000-0002-1536-6975"]},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Morandotti, Marco","raw_affiliation_strings":["Dipartimento di Scienze Matematiche \"G. L. Lagrange\" , Politecnico di Torino , Italy ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Matematiche \"G. L. Lagrange\" , Politecnico di Torino , Italy ,","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.6190999746322632,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.6190999746322632,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.21150000393390656,"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":0.05609999969601631,"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/edge-dislocations","display_name":"edge dislocations","score":0.8610000014305115},{"id":"https://openalex.org/keywords/wedge-disclinations","display_name":"wedge disclinations","score":0.9990000128746033},{"id":"https://openalex.org/keywords/stress-state","display_name":"stress state","score":0.6460000276565552}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7914000153541565},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6259999871253967},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6128000020980835},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.519599974155426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5163999795913696},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5051000118255615},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.49320000410079956},{"id":"https://openalex.org/C47422493","wikidata":"https://www.wikidata.org/wiki/Q2755127","display_name":"Wedge (geometry)","level":2,"score":0.49059998989105225},{"id":"https://openalex.org/C3161131","wikidata":"https://www.wikidata.org/wiki/Q14097093","display_name":"Linear elasticity","level":3,"score":0.4632999897003174},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.4487999975681305},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.44859999418258667},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.4320000112056732},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.4198000133037567},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3869999945163727},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.37549999356269836},{"id":"https://openalex.org/C177605945","wikidata":"https://www.wikidata.org/wiki/Q11007230","display_name":"Smoothed finite element method","level":5,"score":0.35839998722076416},{"id":"https://openalex.org/C29320194","wikidata":"https://www.wikidata.org/wiki/Q7201019","display_name":"Plane stress","level":3,"score":0.3346000015735626},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.30720001459121704},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.3046000003814697},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2847999930381775},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.28360000252723694},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C93949632","wikidata":"https://www.wikidata.org/wiki/Q5450392","display_name":"Finite element limit analysis","level":4,"score":0.26910001039505005},{"id":"https://openalex.org/C48395688","wikidata":"https://www.wikidata.org/wiki/Q6823714","display_name":"Method of fundamental solutions","level":5,"score":0.26170000433921814},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.2606000006198883}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.29614","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29614","pdf_url":"https://arxiv.org/pdf/2609.29614","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.29614","doi":"https://doi.org/10.48550/arxiv.2609.29614","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.29614","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.29614","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29614","pdf_url":"https://arxiv.org/pdf/2609.29614","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G40761899","display_name":null,"funder_award_id":"E53D2300588 0006","funder_id":"https://openalex.org/F4320333369","funder_display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni"},{"id":"https://openalex.org/G5368403867","display_name":null,"funder_award_id":"JPMJMS2021","funder_id":"https://openalex.org/F4320338247","funder_display_name":"Moonshot Research and Development Program"},{"id":"https://openalex.org/G8137651613","display_name":null,"funder_award_id":"2022SLTHCE","funder_id":"https://openalex.org/F4320333369","funder_display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320313985","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508"},{"id":"https://openalex.org/F4320320577","display_name":"La Trobe University","ror":"https://ror.org/01rxfrp27"},{"id":"https://openalex.org/F4320333369","display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni","ror":"https://ror.org/02ktjph70"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320338247","display_name":"Moonshot Research and Development Program","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214340834.pdf","grobid_xml":"https://content.openalex.org/works/W7214340834.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W106351747","https://openalex.org/W325210746","https://openalex.org/W1531059241","https://openalex.org/W1958869546","https://openalex.org/W1968608557","https://openalex.org/W1969689206","https://openalex.org/W1976044055","https://openalex.org/W1978745877","https://openalex.org/W1995146997","https://openalex.org/W1999417649","https://openalex.org/W2003394288","https://openalex.org/W2004752715","https://openalex.org/W2006059472","https://openalex.org/W2008945759","https://openalex.org/W2011095781","https://openalex.org/W2016480795","https://openalex.org/W2019335252","https://openalex.org/W2029276558","https://openalex.org/W2029725158","https://openalex.org/W2033091389","https://openalex.org/W2046408063","https://openalex.org/W2046646196","https://openalex.org/W2066336984","https://openalex.org/W2070908954","https://openalex.org/W2074819700","https://openalex.org/W2076676190","https://openalex.org/W2079380336","https://openalex.org/W2081586754","https://openalex.org/W2088745448","https://openalex.org/W2130350269","https://openalex.org/W2185646632","https://openalex.org/W2238804847","https://openalex.org/W2462781348","https://openalex.org/W2569676645","https://openalex.org/W2755534443","https://openalex.org/W2808343756","https://openalex.org/W2945521852","https://openalex.org/W3024598541","https://openalex.org/W3042527953","https://openalex.org/W3137329308","https://openalex.org/W4237063787","https://openalex.org/W4309783585","https://openalex.org/W4379058098","https://openalex.org/W4390584877","https://openalex.org/W4391955527","https://openalex.org/W4401449963","https://openalex.org/W4410620281","https://openalex.org/W4411048739","https://openalex.org/W6911100613"],"related_works":["https://openalex.org/W2334138532","https://openalex.org/W1985576825","https://openalex.org/W4390584877","https://openalex.org/W2071190442","https://openalex.org/W3135006819","https://openalex.org/W2329591762","https://openalex.org/W1985661338","https://openalex.org/W2063110226","https://openalex.org/W2019013592","https://openalex.org/W2159508845"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,23,28,54,67],"numerical":[3,51],"formulation":[4],"for":[5],"the":[6,36,45,64,96,100],"resolution":[7],"of":[8,11,27,40,47,66,70,99],"finite":[9,24,68],"systems":[10],"interacting":[12],"edge":[13],"dislocations":[14],"and":[15,61,81,92],"wedge":[16],"disclinations.":[17],"The":[18,50],"approach":[19],"is":[20,76],"based":[21],"on":[22,63],"element":[25],"discretization":[26],"fourth-order":[29],"elliptic":[30],"boundary":[31],"value":[32],"problem":[33],"arising":[34],"from":[35],"mechanical":[37],"equilibrium":[38],"equations":[39],"plane-strain":[41],"linear":[42],"elasticity":[43],"in":[44],"presence":[46],"kinematic":[48],"incompatibilities.":[49],"implementation":[52],"follows":[53],"continuous":[55],"interior":[56],"penalty":[57],"discontinuous":[58],"Galerkin":[59],"framework":[60],"relies":[62],"solution":[65],"set":[69],"local":[71],"cell":[72],"problems.":[73],"Our":[74],"method":[75],"validated":[77],"against":[78],"analytical":[79],"benchmarks":[80],"used":[82],"to":[83],"explore":[84],"several":[85],"non-trivial":[86],"dislocation-disclination":[87],"configurations,":[88],"illustrating":[89],"how":[90],"translational":[91],"rotational":[93],"incompatibilities":[94],"shape":[95],"stress":[97],"state":[98],"body.":[101]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-26T00:00:00"}