November 18, 2009 Journal article Open Access

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

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  <identifier identifierType="URL">https://www.openaccessrepository.it/record/46094</identifier>
  <creators>
    <creator>
      <creatorName>V. A. Cimmelli</creatorName>
    </creator>
    <creator>
      <creatorName>A. Sellitto</creatorName>
    </creator>
    <creator>
      <creatorName>V. Triani</creatorName>
    </creator>
  </creators>
  <titles>
    <title>A generalized Coleman–Noll procedure for the exploitation of the entropy principle</title>
  </titles>
  <publisher>INFN Open Access Repository</publisher>
  <publicationYear>2009</publicationYear>
  <subjects>
    <subject>General Engineering</subject>
    <subject>General Physics and Astronomy</subject>
    <subject>General Mathematics</subject>
  </subjects>
  <dates>
    <date dateType="Issued">2009-11-18</date>
  </dates>
  <language>en</language>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://www.openaccessrepository.it/record/46094</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1098/rspa.2009.0383</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="URL" relationType="IsPartOf">https://www.openaccessrepository.it/communities/itmirror</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">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.</description>
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