On the derivation of the constitutive equation of the simple fluid from that of a simple material

R. R. Huilgol

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)

    Abstract

    It is shown, by the use of the symmetry group of a fluid, that the stress in an elastic fluid depends on the current value of the deformation gradient through the absolute value of the determinant of the deformation gradient, whereas in a simple fluid it depends on this value of the determinant and the history of the relative deformation gradient and nothing else. This derivation is then used to show some of the errors in the criticisms made about the work of Noll. Additionally, a lacuna in Noll's derivation is removed to overcome the only valid criticism made about this theory of simple fluids.

    Original languageEnglish
    Pages (from-to)351-356
    Number of pages6
    JournalRheologica Acta
    Volume27
    Issue number4
    DOIs
    Publication statusPublished - Jul 1988

    Keywords

    • relative deformation gradient
    • Simple fluid
    • simple material
    • symmetry group

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