{
  "id": "1107.5283",
  "version": "v1",
  "published": "2011-07-26T18:18:32.000Z",
  "updated": "2011-07-26T18:18:32.000Z",
  "title": "Asymptotic behavior of a structure made by a plate and a straight rod",
  "authors": [
    "Dominique Blanchard",
    "Georges Griso"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is devoted to describe the asymptotic behavior of a structure made by a thin plate and a thin rod in the framework of nonlinear elasticity. We scale the applied forces in such a way that the level of the total elastic energy leads to the Von-K\\'arm\\'an's equations (or the linear model for smaller forces) in the plate and to a one dimensional rod-model at the limit. The junction conditions include in particular the continuity of the bending in the plate and the stretching in the rod at the junction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-26T18:18:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotic behavior",
      "straight rod",
      "total elastic energy",
      "thin rod",
      "nonlinear elasticity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.5283B"
    }
  }
}