{
  "id": "1210.5461",
  "version": "v2",
  "published": "2012-10-19T16:10:10.000Z",
  "updated": "2012-10-22T19:09:20.000Z",
  "title": "Derivation of a homogenized nonlinear plate theory from 3d elasticity",
  "authors": [
    "Peter Hornung",
    "Stefan Neukamm",
    "Igor Velcic"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We derive, via simultaneous homogenization and dimension reduction, the Gamma-limit for thin elastic plates whose energy density oscillates on a scale that is either comparable to, or much smaller than, the film thickness. We consider the energy scaling that corresponds to Kirchhoff's nonlinear bending theory of plates.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-22T19:09:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homogenized nonlinear plate theory",
      "3d elasticity",
      "derivation",
      "kirchhoffs nonlinear bending theory",
      "energy density oscillates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.5461H"
    }
  }
}