{
  "abstract": "The von Kármán energy functional\n\non the bending stiffness h of the plate, its vertical displacement v and the horizontal one w, is non-convex. We make use of a relatively recent convex integration result from Lewicka and Pakzad and geometrical approximations (similar to the ones using origami maps) to find an upper bound for the scaling of the elastic energy as h → 0. Through the interplay of the stretching and bending components of the energy we can attain a scaling of order h 5 3\n\nfor the upper-bound of a positional constraint problem. Furthermore, in doing so we will provide some new C 0 approximation results for vK short maps through piecewise affine vK solutions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Giacomo Vizzari"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ahq1tjrqqx9d5.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "ahq1tjrqqx9d5",
  "issns": [],
  "landing_url": "https://hal.science/hal-05841276v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05841276/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ahq1tjrqqx9d5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:02Z",
      "native_id": "hal-05841276",
      "source": "hal",
      "url": "https://hal.science/hal-05841276v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "Energy scaling for von Kármán elastic plates with positional constraints",
  "title_text": "Energy scaling for von Kármán elastic plates with positional constraints",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:02Z",
  "url": "https://research.draconitic.com/paper/ahq1tjrqqx9d5",
  "venue": "HAL",
  "versions": []
}