{
  "id": "1608.04660",
  "version": "v1",
  "published": "2016-08-16T16:27:09.000Z",
  "updated": "2016-08-16T16:27:09.000Z",
  "title": "Quasistatic contact problem with unilateral constraint for elastic-viscoplastic materials",
  "authors": [
    "Justyna Ogorzaly"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper consists of two parts. In the first part we prove the unique solvability for the abstract variational-hemivariational inequality with history-dependent operator. The proof is based on the existing result for the static variational-hemivariational inequality and a fixed point argument. In the second part, we consider a mathematical model which describes quasistatic frictional contact between a deformable body and a rigid foundation. In the model the material behaviour is modelled by an elastic-viscoplastic constitutive law. The contact is described with a normal damped response, unilateral constraint and memory term. In the analysis of this model we use the abstract result from the first part of the paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-16T16:27:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quasistatic contact problem",
      "unilateral constraint",
      "elastic-viscoplastic materials",
      "first part",
      "quasistatic frictional contact"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}