{
  "abstract": "We prove the existence of classical solutions for nonlinearly elastic, single-director surfaces or shells characterized by finite mid-plane strains and curvature. We employ topological methods, yielding solution continua far (in norm) from an unloaded, stress-free reference configuration, i.e., a global implicit function theorem of sorts. We first establish the existence of a local solution path, which is subsequently shown to be part of a global solution branch, viz., a maximal connected, locally compact set, emanating from the unloaded state.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.38498",
  "author_total": 1,
  "authors": [
    {
      "name": "Timothy J. Healey"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d116yvxt8xj3h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.38498",
  "fulltext_url": null,
  "id": "d116yvxt8xj3h",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.38498",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2204|Elasticity and Material Modeling"
    ]
  ],
  "openalex": "W7215062179",
  "pdf_url": "https://arxiv.org/pdf/2609.38498",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d116yvxt8xj3h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:50Z",
      "native_id": "2609.38498",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.38498"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Global Solution Branches of Forced Nonlinearly Elastic Single-Director Surfaces",
  "title_text": "Global Solution Branches of Forced Nonlinearly Elastic Single-Director Surfaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/d116yvxt8xj3h",
  "venue": "arXiv",
  "versions": []
}