{
  "id": "2401.09586",
  "version": "v1",
  "published": "2024-01-17T20:25:11.000Z",
  "updated": "2024-01-17T20:25:11.000Z",
  "title": "Linearization in magnetoelasticity",
  "authors": [
    "Stefano Almi",
    "Martin Kružík",
    "Anastasia Molchanova"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Starting from a model of nonlinear magnetoelasticity where magnetization is defined in the Eulerian configuration while elasticity is in the Lagrangean one, we rigorously derive a linearized model that coincides with the standard one that already appeared in the literature, see, e.g., DeSimone \\& James (2002) and where the zero-stress strain is quadratic in the magnetization. The relation of the nonlinear and linear model is stated in terms of the $\\Gamma$-convergence and convergence of minimizers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-17T20:25:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linearization",
      "nonlinear magnetoelasticity",
      "magnetization",
      "eulerian configuration",
      "zero-stress strain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}