A Note on the Simple Fluid

  • R. S. Rivlin


In 1957 Green and Rivlin [1] discussed the restrictions which can be imposed on the constitutive equation for a material with memory, in which the stress is assumed to be a functional of the deformation gradient history for all times up to and including the instant at which the stress is measured. Certain of these restrictions result from considerations of the manner in which the stress is changed by the superposition on the assumed deformation of an arbitrary time-dependent rigid rotation.


Reference Configuration Simple Material Integrity Basis Simple Fluid Typical Invariant 
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  1. 1.
    A.E. Green and R.S. Rivlin, Arch. Rational Mech. Anal., 1 (1957) 1.CrossRefGoogle Scholar
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    W. Noll, Arch. Rational Mech. Anal., 2 (1958) 197.CrossRefGoogle Scholar
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    E. Fahy and G.F. Smith, Mech. Res. Comm., 5 (1978) 167.CrossRefGoogle Scholar
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    E. Fahy and G.F. Smith, J. Non-Newtonian Fluid Mech., 7 (1980) 33.CrossRefGoogle Scholar
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    J.G. Oldroyd, Proc. R. Soc., A200 (1950) 523.CrossRefGoogle Scholar
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    A.S. Wineman and A.C. Pipkin, Arch. Rational Mech. Anal., 3 (1948) 184.Google Scholar
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    J.A. Todd, Phil. Trans. R. Soc., A241 (1948) 399.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • R. S. Rivlin
    • 1
  1. 1.Centre for the Application of MathematicsLehigh UniversityBethlehemUSA

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