Journal article Open Access

A generalized Coleman–Noll procedure for the exploitation of the entropy principle

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


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  <dc:creator>V. A. Cimmelli</dc:creator>
  <dc:creator>A. Sellitto</dc:creator>
  <dc:creator>V. Triani</dc:creator>
  <dc:date>2009-11-18</dc:date>
  <dc:description>A generalization of the classical Coleman–Noll 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 scale.</dc:description>
  <dc:identifier>https://www.openaccessrepository.it/record/46094</dc:identifier>
  <dc:identifier>10.1098/rspa.2009.0383</dc:identifier>
  <dc:language>eng</dc:language>
  <dc:relation>url:https://www.openaccessrepository.it/communities/itmirror</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:subject>General Engineering</dc:subject>
  <dc:subject>General Physics and Astronomy</dc:subject>
  <dc:subject>General Mathematics</dc:subject>
  <dc:title>A generalized Coleman–Noll procedure for the exploitation of the entropy principle</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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