{
  "id": "2110.04333",
  "version": "v2",
  "published": "2021-10-08T18:50:08.000Z",
  "updated": "2022-01-25T13:21:46.000Z",
  "title": "Asymptotic behavior of constrained local minimizers in finite elasticity",
  "authors": [
    "Edoardo Mainini",
    "Roberto Ognibene",
    "Danilo Percivale"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP",
    "math.OC"
  ],
  "abstract": "We provide an approximation result for the pure traction problem of linearized elasticity in terms of local minimizers of finite elasticity, under the constraint of vanishing average curl for admissible deformation maps. When suitable rotations are included in the constraint, the limit is shown to be the linear elastic equilibrium associated to rotated loads.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-01-25T13:21:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "constrained local minimizers",
      "finite elasticity",
      "asymptotic behavior",
      "linear elastic equilibrium",
      "pure traction problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}