{"id":"https://openalex.org/W2988387750","doi":"https://doi.org/10.1007/s00211-020-01156-6","title":"Numerical solution of a bending-torsion model for elastic rods","display_name":"Numerical solution of a bending-torsion model for elastic rods","publication_year":2020,"publication_date":"2020-10-28","ids":{"openalex":"https://openalex.org/W2988387750","doi":"https://doi.org/10.1007/s00211-020-01156-6","mag":"2988387750"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-020-01156-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-020-01156-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-020-01156-6.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00211-020-01156-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017359935","display_name":"S\u00f6ren Bartels","orcid":null},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"S\u00f6ren Bartels","raw_affiliation_strings":["Abteilung f\u00fcr Angewandte Mathematik, Albert-Ludwigs-Universit\u00e4t Freiburg, Hermann-Herder-Str.\u00a010, 79104, Freiburg im Breisgau, Germany","Abteilung f\u00fcr Angewandte Mathematik, Albert-Ludwigs-Universit\u00e4t Freiburg, Freiburg im Breisgau, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Abteilung f\u00fcr Angewandte Mathematik, Albert-Ludwigs-Universit\u00e4t Freiburg, Hermann-Herder-Str.\u00a010, 79104, Freiburg im Breisgau, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Abteilung f\u00fcr Angewandte Mathematik, Albert-Ludwigs-Universit\u00e4t Freiburg, Freiburg im Breisgau, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082723492","display_name":"Philipp Reiter","orcid":"https://orcid.org/0000-0001-9651-9445"},"institutions":[{"id":"https://openalex.org/I68956291","display_name":"Martin Luther University Halle-Wittenberg","ror":"https://ror.org/05gqaka33","country_code":"DE","type":"education","lineage":["https://openalex.org/I68956291"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Philipp Reiter","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, 06099, Halle (Saale), Germany","Institut f\u00fcr Mathematik, Martin Luther Universit\u00e4t Halle-Wittenberg, Halle (Saale), Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Martin-Luther-Universit\u00e4t Halle-Wittenberg, 06099, Halle (Saale), Germany","institution_ids":["https://openalex.org/I68956291"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Martin Luther Universit\u00e4t Halle-Wittenberg, Halle (Saale), Germany","institution_ids":["https://openalex.org/I68956291"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.2533,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.57950969,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"146","issue":"4","first_page":"661","last_page":"697"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9575999975204468,"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/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9355999827384949,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rod","display_name":"Rod","score":0.8342914581298828},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.81766676902771},{"id":"https://openalex.org/keywords/torsion","display_name":"Torsion (gastropod)","score":0.713256299495697},{"id":"https://openalex.org/keywords/hyperelastic-material","display_name":"Hyperelastic material","score":0.6753983497619629},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5449250936508179},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5076981782913208},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.40664175152778625},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3395542502403259},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.299350380897522},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.2462863326072693},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23959198594093323},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1510820984840393},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.13028907775878906}],"concepts":[{"id":"https://openalex.org/C162184086","wikidata":"https://www.wikidata.org/wiki/Q505544","display_name":"Rod","level":3,"score":0.8342914581298828},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.81766676902771},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.713256299495697},{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.6753983497619629},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5449250936508179},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5076981782913208},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.40664175152778625},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3395542502403259},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.299350380897522},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.2462863326072693},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23959198594093323},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1510820984840393},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.13028907775878906},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C141071460","wikidata":"https://www.wikidata.org/wiki/Q40821","display_name":"Surgery","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00211-020-01156-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-020-01156-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-020-01156-6.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1911.07024","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.07024","pdf_url":"https://arxiv.org/pdf/1911.07024","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},{"id":"mag:2988387750","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1911.07024","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1911.07024","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1911.07024","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.25673/108827","is_oa":true,"landing_page_url":"https://doi.org/10.25673/108827","pdf_url":null,"source":{"id":"https://openalex.org/S4306401651","display_name":"Digitalen Hochschulbibliothek Sachsen-Anhalt (Universit\u00e4ts- und Landesbibliothek Sachsen-Anhalt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122374","host_organization_name":"Universit\u00e4ts Frauenklinik","host_organization_lineage":["https://openalex.org/I4210122374"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1007/s00211-020-01156-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-020-01156-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-020-01156-6.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8299999833106995,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1575401848","display_name":null,"funder_award_id":"FOR 3013","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2988387750.pdf","grobid_xml":"https://content.openalex.org/works/W2988387750.grobid-xml"},"referenced_works_count":59,"referenced_works":["https://openalex.org/W198789699","https://openalex.org/W1492329252","https://openalex.org/W1492336594","https://openalex.org/W1575238425","https://openalex.org/W1817474533","https://openalex.org/W1964381670","https://openalex.org/W1970474851","https://openalex.org/W1975423472","https://openalex.org/W1982944008","https://openalex.org/W1984655879","https://openalex.org/W1984936396","https://openalex.org/W1993277123","https://openalex.org/W1993945420","https://openalex.org/W1994311821","https://openalex.org/W1999296146","https://openalex.org/W2003408680","https://openalex.org/W2006571925","https://openalex.org/W2006646214","https://openalex.org/W2008164074","https://openalex.org/W2008367706","https://openalex.org/W2008498686","https://openalex.org/W2012568071","https://openalex.org/W2013955710","https://openalex.org/W2014173774","https://openalex.org/W2016087533","https://openalex.org/W2030537075","https://openalex.org/W2033190407","https://openalex.org/W2042049399","https://openalex.org/W2042653844","https://openalex.org/W2046501806","https://openalex.org/W2049361015","https://openalex.org/W2051910882","https://openalex.org/W2056496378","https://openalex.org/W2068814735","https://openalex.org/W2080282883","https://openalex.org/W2085800131","https://openalex.org/W2091439137","https://openalex.org/W2092080525","https://openalex.org/W2104175090","https://openalex.org/W2111459897","https://openalex.org/W2118867667","https://openalex.org/W2119792682","https://openalex.org/W2142040412","https://openalex.org/W2142977653","https://openalex.org/W2150812234","https://openalex.org/W2153292122","https://openalex.org/W2160863289","https://openalex.org/W2164032170","https://openalex.org/W2164636472","https://openalex.org/W2245205596","https://openalex.org/W2477707004","https://openalex.org/W2491748254","https://openalex.org/W2595753002","https://openalex.org/W2621358153","https://openalex.org/W2800459160","https://openalex.org/W2950611750","https://openalex.org/W2964175079","https://openalex.org/W3026573060","https://openalex.org/W3114665431"],"related_works":["https://openalex.org/W2008164074","https://openalex.org/W2952145402","https://openalex.org/W987436794","https://openalex.org/W2291091868","https://openalex.org/W2073388786","https://openalex.org/W2073528625","https://openalex.org/W2274954929","https://openalex.org/W2515022689","https://openalex.org/W2043442839","https://openalex.org/W2090517166","https://openalex.org/W2954693695","https://openalex.org/W1973275996","https://openalex.org/W1981886988","https://openalex.org/W2049205317","https://openalex.org/W2198822518","https://openalex.org/W2341221008","https://openalex.org/W2141199483","https://openalex.org/W2072550688","https://openalex.org/W1985979896","https://openalex.org/W3195174493"],"abstract_inverted_index":{"Abstract":[0],"Aiming":[1],"at":[2],"simulating":[3],"elastic":[4],"rods,":[5,33],"we":[6,34],"discretize":[7],"a":[8,13,44,59],"rod":[9],"model":[10,26],"based":[11],"on":[12],"general":[14],"theory":[15],"of":[16,31,37,43,68],"hyperelasticity":[17],"for":[18,54],"inextensible":[19],"and":[20,27,41,57],"unshearable":[21],"rods.":[22],"After":[23],"reviewing":[24],"this":[25],"discussing":[28],"topological":[29],"effects":[30],"periodic":[32],"prove":[35],"convergence":[36],"the":[38,66],"discretized":[39],"functionals":[40],"stability":[42],"corresponding":[45],"discrete":[46],"flow.":[47],"Our":[48],"experiments":[49],"numerically":[50],"confirm":[51],"thresholds,":[52],"e.g.,":[53],"Michell\u2019s":[55],"instability,":[56],"indicate":[58],"complex":[60],"energy":[61],"landscape,":[62],"in":[63,65],"particular":[64],"presence":[67],"impermeability.":[69]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}