{"id":"https://openalex.org/W7130727535","doi":"https://doi.org/10.48550/arxiv.2602.17002","title":"A Total Lagrangian Finite Element Framework for Multibody Dynamics: Part I -- Formulation","display_name":"A Total Lagrangian Finite Element Framework for Multibody Dynamics: Part I -- Formulation","publication_year":2026,"publication_date":"2026-02-19","ids":{"openalex":"https://openalex.org/W7130727535","doi":"https://doi.org/10.48550/arxiv.2602.17002"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.17002","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5126493525","display_name":"Zhenhao Zhou","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhou, Zhenhao","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120322233","display_name":"Ganesh Arivoli","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arivoli, Ganesh","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5027224030","display_name":"Dan Negru\u0163","orcid":"https://orcid.org/0000-0003-1565-2784"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Negrut, Dan","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5126493525"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.8601999878883362,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.8601999878883362,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11416","display_name":"Numerical methods for differential equations","score":0.03880000114440918,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.020800000056624413,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kinematics","display_name":"Kinematics","score":0.8105999827384949},{"id":"https://openalex.org/keywords/hyperelastic-material","display_name":"Hyperelastic material","score":0.7907999753952026},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6984000205993652},{"id":"https://openalex.org/keywords/multibody-system","display_name":"Multibody system","score":0.6215000152587891},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5703999996185303},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.5595999956130981},{"id":"https://openalex.org/keywords/analytical-dynamics","display_name":"Analytical dynamics","score":0.453900009393692},{"id":"https://openalex.org/keywords/stiffness","display_name":"Stiffness","score":0.44699999690055847},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4375999867916107}],"concepts":[{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.8105999827384949},{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.7907999753952026},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6984000205993652},{"id":"https://openalex.org/C67865112","wikidata":"https://www.wikidata.org/wiki/Q1917564","display_name":"Multibody system","level":2,"score":0.6215000152587891},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5703999996185303},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.5595999956130981},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5407999753952026},{"id":"https://openalex.org/C140279962","wikidata":"https://www.wikidata.org/wiki/Q16002931","display_name":"Analytical dynamics","level":5,"score":0.453900009393692},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.44699999690055847},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43810001015663147},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4375999867916107},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42899999022483826},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.42080000042915344},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4207000136375427},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40470001101493835},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.3894999921321869},{"id":"https://openalex.org/C81302111","wikidata":"https://www.wikidata.org/wiki/Q2916417","display_name":"Contact force","level":2,"score":0.3801000118255615},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3650999963283539},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.3544999957084656},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.35440000891685486},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.3490999937057495},{"id":"https://openalex.org/C181605269","wikidata":"https://www.wikidata.org/wiki/Q497332","display_name":"Jerk","level":3,"score":0.33230000734329224},{"id":"https://openalex.org/C145980571","wikidata":"https://www.wikidata.org/wiki/Q192788","display_name":"Rigid body","level":2,"score":0.32760000228881836},{"id":"https://openalex.org/C178295079","wikidata":"https://www.wikidata.org/wiki/Q919765","display_name":"Tangent stiffness matrix","level":4,"score":0.31690001487731934},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2883000075817108},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.2874000072479248},{"id":"https://openalex.org/C163892269","wikidata":"https://www.wikidata.org/wiki/Q15300737","display_name":"Finite strain theory","level":3,"score":0.2614000141620636},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2612999975681305},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2513999938964844}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.17002","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.17002","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.17002","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":"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"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2602.17002","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.401090145111084,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,15,19,27],"Total":[3],"Lagrangian":[4],"finite":[5],"element":[6],"framework":[7,13,70,102],"for":[8,31,47],"finite-deformation":[9],"multibody":[10],"dynamics.":[11],"The":[12,69],"combines":[14],"compact":[16],"kinematic":[17],"representation,":[18],"deformation-gradient-based":[20],"formulation,":[21],"an":[22],"element-agnostic":[23],"constitutive":[24],"interface,":[25],"and":[26,52,65,81,91,105,110],"systematic":[28],"constraint-construction":[29],"machinery":[30],"coupling":[32],"deformable":[33,50],"bodies":[34,51],"through":[35],"engineering":[36],"joints.":[37],"Within":[38],"this":[39],"setting,":[40],"we":[41],"derive":[42],"the":[43,57,97,101],"equations":[44],"of":[45,49,59,85,100],"motion":[46],"collections":[48],"formulate":[53],"their":[54],"response":[55],"in":[56],"presence":[58],"external":[60],"loads,":[61],"frictional":[62],"contact":[63],"forces,":[64],"constraint":[66],"reaction":[67],"forces.":[68],"accommodates":[71],"field":[72],"forces":[73],"applied":[74],"pointwise,":[75],"over":[76],"surfaces,":[77],"or":[78],"throughout":[79],"volumes,":[80],"supports":[82],"material":[83],"models":[84],"practical":[86],"interest,":[87],"including":[88],"Mooney-Rivlin,":[89],"Neo-Hookean,":[90],"Kelvin-Voigt.":[92],"A":[93],"companion":[94],"paper":[95],"discusses":[96],"GPU-accelerated":[98],"implementation":[99],"outlined":[103],"herein":[104],"reports":[106],"on":[107],"numerical":[108],"experiments":[109],"benchmark":[111],"results.":[112]},"counts_by_year":[],"updated_date":"2026-04-15T05:59:14.812645","created_date":"2026-02-21T00:00:00"}