{
  "abstract": "We present a space-time finite element formulation for the transient analysis of geometrically exact shear-deformable beams. The formulation treats space and time within a unified finite element framework and employs a mixed approach in which translational and angular velocities are introduced as independent fields. The rotation field is parametrized using nodal rotation (pseudo-)vectors and a suitable objective interpolation of the triad field is employed. The resulting formulation supports generally curved beam structures, including geometric kinks and rigid joints. Furthermore, time-dependent material domains can be represented directly through the geometry of the space-time surface, enabling the treatment of non-material boundaries without modifying the underlying beam formulation. Numerical examples demonstrate convergence to solutions obtained with classical time-stepping schemes, objectivity of the formulation, and the influence of the space-time stabilization. Finally, the sliding spaghetti problem illustrates the applicability of the proposed approach to axially moving continua.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03285",
  "author_total": 2,
  "authors": [
    {
      "name": "Ivo Steinbrecher"
    },
    {
      "name": "Alexander Humer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/crspsxzgnf85q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03285",
  "fulltext_url": null,
  "id": "crspsxzgnf85q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03285",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.CE"
    ],
    [
      "arxiv",
      "cs.NA"
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    [
      "arxiv",
      "math.NA"
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    [
      "openalex",
      "2206|Advanced Numerical Methods in Computational Mathematics"
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  "openalex": "W7220422736",
  "pdf_url": "https://arxiv.org/pdf/2610.03285",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/crspsxzgnf85q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:50Z",
      "native_id": "2610.03285",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03285"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "A space-time finite element formulation for geometrically exact shear-deformable beams",
  "title_text": "A space-time finite element formulation for geometrically exact shear-deformable beams",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/crspsxzgnf85q",
  "venue": "arXiv",
  "versions": []
}