November 18, 2009 Journal article Open Access

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

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  "@context": "https://schema.org/", 
  "@id": "https://doi.org/10.1098/rspa.2009.0383", 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "name": "V. A. Cimmelli"
    }, 
    {
      "@type": "Person", 
      "name": "A. Sellitto"
    }, 
    {
      "@type": "Person", 
      "name": "V. Triani"
    }
  ], 
  "datePublished": "2009-11-18", 
  "description": "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.", 
  "headline": "A generalized Coleman\u2013Noll procedure for the exploitation of the entropy principle", 
  "identifier": "https://doi.org/10.1098/rspa.2009.0383", 
  "image": "https://zenodo.org/static/img/logos/zenodo-gradient-round.svg", 
  "inLanguage": {
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    "alternateName": "eng", 
    "name": "English"
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  "keywords": [
    "General Engineering", 
    "General Physics and Astronomy", 
    "General Mathematics"
  ], 
  "license": "", 
  "name": "A generalized Coleman\u2013Noll procedure for the exploitation of the entropy principle", 
  "url": "https://www.openaccessrepository.it/record/46094"
}