{
  "id": "1212.2594",
  "version": "v3",
  "published": "2012-12-11T19:19:19.000Z",
  "updated": "2014-10-08T07:48:35.000Z",
  "title": "On the derivation of homogenized bending plate model",
  "authors": [
    "Igor Velcic"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1210.5461",
  "categories": [
    "math.AP"
  ],
  "abstract": "We derive, via simultaneous homogenization and dimension reduction, the $\\Gamma$-limit for thin elastic plates of thickness $h$ whose energy density oscillates on a scale $\\eh$ such that $ \\eh^2 \\ll h\\ll \\eh$. We consider the energy scaling that corresponds to Kirchhoff's nonlinear bending theory of plates.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-03-14T13:49:30.000Z",
      "title": "A note on the derivation of homogenized bending plate model",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-10-08T07:48:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homogenized bending plate model",
      "derivation",
      "thin elastic plates",
      "energy density oscillates",
      "kirchhoffs nonlinear bending theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.2594V"
    }
  }
}