{
  "id": "1508.05979",
  "version": "v1",
  "published": "2015-08-24T21:38:51.000Z",
  "updated": "2015-08-24T21:38:51.000Z",
  "title": "On the local character of $Γ$-closure for the simultaneous homogenization and dimensional reduction in elasticity",
  "authors": [
    "Mario Bukal",
    "Igor Velcic"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Starting from the three-dimensional linearized elasticity framework for composite materials we derive, by means of variational convergence, homogenized linear plate model. The main contribution is the proof of the locality property of Gamma-closure, i.e, every energy density obtained by the homogenization process can be in almost every point be obtained as the limit of in-plane periodic energy densities. The result also applies in the nonlinear elasticity for the cases of bending rod and von Karman plate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-24T21:38:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local character",
      "dimensional reduction",
      "simultaneous homogenization",
      "energy density",
      "in-plane periodic energy densities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150805979B"
    }
  }
}