{
  "id": "1807.09855",
  "version": "v1",
  "published": "2018-07-25T20:58:56.000Z",
  "updated": "2018-07-25T20:58:56.000Z",
  "title": "Shape memory alloys as gradient-polyconvex materials",
  "authors": [
    "Martin Kružík",
    "Petr Pelech",
    "Anja Schlömerkemper"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We show existence of an energetic solution to a model of shape memory alloys in which the elastic energy is described by means of a gradient-polyconvex functional. This allows us to show existence of a solution based on weak continuity of nonlinear minors of deformation gradients in Sobolev spaces. Resulting deformations are orientation-preserving and injective everywhere in a domain representing the specimen.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-25T20:58:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "shape memory alloys",
      "gradient-polyconvex materials",
      "sobolev spaces",
      "elastic energy",
      "gradient-polyconvex functional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}