{
  "id": "1312.2356",
  "version": "v1",
  "published": "2013-12-09T09:38:39.000Z",
  "updated": "2013-12-09T09:38:39.000Z",
  "title": "Multi-material phase field approach to structural topology optimization",
  "authors": [
    "Luise Blank",
    "M. Hassan Farshbaf-Shaker",
    "Harald Garcke",
    "Christoph Rupprecht",
    "Vanessa Styles"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "Multi-material structural topology and shape optimization problems are formulated within a phase field approach. First-order conditions are stated and the relation of the necessary conditions to classical shape derivatives are discussed. An efficient numerical method based on an $H^1$-gradient projection method is introduced and finally several numerical results demonstrate the applicability of the approach.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-09T09:38:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49Q10",
      "74P05",
      "74P15",
      "90C52",
      "65K15"
    ],
    "keywords": [
      "multi-material phase field approach",
      "structural topology optimization",
      "shape optimization problems",
      "multi-material structural topology",
      "gradient projection method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.2356B"
    }
  }
}