{"id":"https://openalex.org/W7220422736","doi":"https://doi.org/10.48550/arxiv.2610.03285","title":"A space-time finite element formulation for geometrically exact shear-deformable beams","display_name":"A space-time finite element formulation for geometrically exact shear-deformable beams","publication_year":2026,"publication_date":"2026-10-02","ids":{"openalex":"https://openalex.org/W7220422736","doi":"https://doi.org/10.48550/arxiv.2610.03285"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.03285","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03285","pdf_url":"https://arxiv.org/pdf/2610.03285","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/2610.03285","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070317291","display_name":"Ivo Steinbrecher","orcid":"https://orcid.org/0000-0002-2172-6826","observed_orcids":["https://orcid.org/0000-0002-2172-6826"]},"institutions":[{"id":"https://openalex.org/I40527276","display_name":"Universit\u00e4t der Bundeswehr M\u00fcnchen","ror":"https://ror.org/05kkv3f82","country_code":"DE","type":"education","lineage":["https://openalex.org/I1315109972","https://openalex.org/I40527276","https://openalex.org/I4387152969"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Steinbrecher, Ivo","raw_affiliation_strings":["Institute for Mathematics and Computer-Based Simulation (IMCS) , University of the Bundeswehr Munich , Werner-Heisenberg-Weg 39 , 85577 Neubiberg , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics and Computer-Based Simulation (IMCS) , University of the Bundeswehr Munich , Werner-Heisenberg-Weg 39 , 85577 Neubiberg , Germany","institution_ids":["https://openalex.org/I40527276"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042341519","display_name":"Alexander Humer","orcid":"https://orcid.org/0000-0001-8510-5423","observed_orcids":["https://orcid.org/0000-0001-8510-5423"]},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Humer, Alexander","raw_affiliation_strings":["Institute of Technical Mechanics , Johannes Kepler University Linz , Altenberger Stra\u00dfe 69 , 4040 Linz , Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Technical Mechanics , Johannes Kepler University Linz , Altenberger Stra\u00dfe 69 , 4040 Linz , Austria","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"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":0.9726999998092651,"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":0.9726999998092651,"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/T11870","display_name":"Structural Analysis and Optimization","score":0.006599999964237213,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.003100000089034438,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/space-time-finite-elements","display_name":"space-time finite elements","score":0.8730000257492065},{"id":"https://openalex.org/keywords/geometrically-exact-beams","display_name":"geometrically exact beams","score":0.9139999747276306},{"id":"https://openalex.org/keywords/shear-deformable-beams","display_name":"shear deformable beams","score":0.9850000143051147},{"id":"https://openalex.org/keywords/transient-analysis","display_name":"transient analysis","score":0.781000018119812},{"id":"https://openalex.org/keywords/curved-beams","display_name":"curved beams","score":0.6399999856948853},{"id":"https://openalex.org/keywords/rigid-joints","display_name":"rigid joints","score":0.843999981880188},{"id":"https://openalex.org/keywords/objectivity","display_name":"objectivity","score":0.7559999823570251}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7479000091552734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5794000029563904},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5478000044822693},{"id":"https://openalex.org/C35377427","wikidata":"https://www.wikidata.org/wiki/Q3886264","display_name":"Axial symmetry","level":2,"score":0.5336999893188477},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.46720001101493835},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.45989999175071716},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4512999951839447},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.44040000438690186},{"id":"https://openalex.org/C145980571","wikidata":"https://www.wikidata.org/wiki/Q192788","display_name":"Rigid body","level":2,"score":0.40720000863075256},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3919999897480011},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.3671000003814697},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.35510000586509705},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3370000123977661},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.32019999623298645},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.31929999589920044},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.314300000667572},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3100999891757965},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.2818000018596649},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2630999982357025},{"id":"https://openalex.org/C157498722","wikidata":"https://www.wikidata.org/wiki/Q34929","display_name":"Three-dimensional space","level":2,"score":0.25450000166893005},{"id":"https://openalex.org/C93949632","wikidata":"https://www.wikidata.org/wiki/Q5450392","display_name":"Finite element limit analysis","level":4,"score":0.2515999972820282},{"id":"https://openalex.org/C153919410","wikidata":"https://www.wikidata.org/wiki/Q9993851","display_name":"Weak formulation","level":3,"score":0.25040000677108765}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.03285","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03285","pdf_url":"https://arxiv.org/pdf/2610.03285","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.2610.03285","doi":"https://doi.org/10.48550/arxiv.2610.03285","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.03285","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.03285","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03285","pdf_url":"https://arxiv.org/pdf/2610.03285","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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220422736.pdf","grobid_xml":"https://content.openalex.org/works/W7220422736.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1980281514","https://openalex.org/W2050899174","https://openalex.org/W2073897969","https://openalex.org/W2083371111","https://openalex.org/W2092094360","https://openalex.org/W2160610484","https://openalex.org/W2169691892","https://openalex.org/W2212668387","https://openalex.org/W2597054087","https://openalex.org/W2771988857","https://openalex.org/W4255754126","https://openalex.org/W4361270514","https://openalex.org/W4365454999","https://openalex.org/W4400300507","https://openalex.org/W4405696020","https://openalex.org/W4417183054","https://openalex.org/W7167430964","https://openalex.org/W7172421316"],"related_works":["https://openalex.org/W3142038295","https://openalex.org/W7172421316","https://openalex.org/W4414298152","https://openalex.org/W4232702886","https://openalex.org/W2001495676","https://openalex.org/W4317042695","https://openalex.org/W2511192953","https://openalex.org/W2069697343","https://openalex.org/W7214601682","https://openalex.org/W2983310758"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,23,30,54],"space-time":[3,91,125],"finite":[4,25],"element":[5,26],"formulation":[6,17,66],"for":[7],"the":[8,59,87,90,94,101,118,121,124,128,133,136],"transient":[9],"analysis":[10],"of":[11,58,89,96,117,123,135],"geometrically":[12],"exact":[13],"shear-deformable":[14],"beams.":[15],"The":[16,44,64],"treats":[18],"space":[19],"and":[20,28,36,53,75,120],"time":[21],"within":[22],"unified":[24],"framework":[27],"employs":[29],"mixed":[31],"approach":[32,138],"in":[33],"which":[34],"translational":[35],"angular":[37],"velocities":[38],"are":[39],"introduced":[40],"as":[41],"independent":[42],"fields.":[43],"rotation":[45,51],"field":[46,61],"is":[47,62],"parametrized":[48],"using":[49],"nodal":[50],"(pseudo-)vectors":[52],"suitable":[55],"objective":[56],"interpolation":[57],"triad":[60],"employed.":[63],"resulting":[65],"supports":[67],"generally":[68],"curved":[69],"beam":[70,103],"structures,":[71],"including":[72],"geometric":[73],"kinks":[74],"rigid":[76],"joints.":[77],"Furthermore,":[78],"time-dependent":[79],"material":[80],"domains":[81],"can":[82],"be":[83],"represented":[84],"directly":[85],"through":[86],"geometry":[88],"surface,":[92],"enabling":[93],"treatment":[95],"non-material":[97],"boundaries":[98],"without":[99],"modifying":[100],"underlying":[102],"formulation.":[104],"Numerical":[105],"examples":[106],"demonstrate":[107],"convergence":[108],"to":[109,139],"solutions":[110],"obtained":[111],"with":[112],"classical":[113],"time-stepping":[114],"schemes,":[115],"objectivity":[116],"formulation,":[119],"influence":[122],"stabilization.":[126],"Finally,":[127],"sliding":[129],"spaghetti":[130],"problem":[131],"illustrates":[132],"applicability":[134],"proposed":[137],"axially":[140],"moving":[141],"continua.":[142]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-06T00:00:00"}