November 18, 2009 Journal article Open Access

V. A. Cimmelli; A. Sellitto; V. Triani

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{
  "DOI": "10.1098/rspa.2009.0383", 
  "abstract": "A generalization of the classical Coleman\u2013Noll procedure for the exploitation of second law of thermodynamics in the presence of first-order non-local constitutive functions is proposed. The local balance of entropy is regarded as a differential inequality constrained by the governing equations for the set of the unknown fields as well as by their gradient extensions. The thermodynamic compatibility of such a class of materials is achieved without any modification of the basic thermodynamic laws. The results so obtained are applied to model nonlinear heat conduction in solids, in the presence of a dynamical semi-empirical temperature\u00a0scale.", 
  "author": [
    {
      "family": "V. A. Cimmelli"
    }, 
    {
      "family": "A. Sellitto"
    }, 
    {
      "family": "V. Triani"
    }
  ], 
  "id": "46094", 
  "issued": {
    "date-parts": [
      [
        2009, 
        11, 
        18
      ]
    ]
  }, 
  "language": "eng", 
  "note": "", 
  "title": "A generalized Coleman\u2013Noll procedure for the exploitation of the entropy principle", 
  "type": "article-journal"
}