{
  "id": "1608.07540",
  "version": "v1",
  "published": "2016-08-26T18:00:10.000Z",
  "updated": "2016-08-26T18:00:10.000Z",
  "title": "Bloch wave spectral analysis in the class of generalized Hashin-Shtrikman micro-structures",
  "authors": [
    "Loredana Bălilescu",
    "Carlos Conca",
    "Tuhin Ghosh",
    "Jorge San Martín",
    "Muthusamy Vanninathan"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we use spectral methods by introducing the Bloch waves to study the homogenization process in the non-periodic class of generalized Hashin-Shtrikman micro-structures \\cite[page no. 281]{T}, which incorporates both translation and dilation with a family of scales, including one subclass of laminates. We establish the classical homogenization result with providing the spectral representation of the homogenized coefficients. It offers a new lead towards extending the Bloch spectral analysis in the non-periodic, non-commutative class of micro-structures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-26T18:00:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "74Q10",
      "78M40"
    ],
    "keywords": [
      "bloch wave spectral analysis",
      "generalized hashin-shtrikman micro-structures",
      "bloch spectral analysis",
      "spectral methods",
      "spectral representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}