Isotropic linear constitutive relations for nonsimple fluids

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6 Citations (Scopus)


We investigate the general constitutive relation of an isotropic linear fluid when the stress tensor can depend on higher-order spatial gradients of the velocity. We apply the results to the case of second-grade and third-grade fluids, be they compressible or not. However, the expression of the general isotropic tensor can be a matter of interest also for other classes of nonsimple material.
Original languageEnglish
Pages (from-to)81-88
Number of pages8
JournalActa Mechanica
Publication statusPublished - 2009


  • Continuum mechanics
  • Nonsimple fluids


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