{
  "id": "1601.06373",
  "version": "v1",
  "published": "2016-01-24T12:06:28.000Z",
  "updated": "2016-01-24T12:06:28.000Z",
  "title": "Small Perturbations of an Interface for Elastostatic Problems",
  "authors": [
    "Jihene Lagha",
    "Faouzi Triki",
    "Habib Zribi"
  ],
  "comment": "42pages,0 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider solutions to the Lam\\'e system in two dimensions. By using systematic way, based on layer potential techniques and the field expansion (FE) method (formal derivation), we establish a rigorous asymptotic expansion for the perturbations of the displacement field caused by small perturbations of the shape of an elastic inclusion with C2-boundary. We extend these techniques to determine a relationship between traction-displacement measurements and the shape of the object and derive an asymptotic expansion of the perturbations of elastic moments tensors (EMTs).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-24T12:06:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B30",
      "35C20",
      "31B10"
    ],
    "keywords": [
      "small perturbations",
      "elastostatic problems",
      "elastic moments tensors",
      "layer potential techniques",
      "systematic way"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}