Inelastic constitutive equations for complex flows

Paulo R. Souza Mendes, Mahesh Padmanabhan, L. E. Scriven, Chris Macosko

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


A new class of inelastic constitutive equations is presented and discussed. In addition to the rate-of-strain tensor, the stress is assumed to depend also on the relative-rate-of-rotation tensor, a frame-indifferent quantity that brings information about the nature of the flow. The material functions predicted by these constitutive equations are given for simple shear and uniaxial extension. A special case of these equations takes the Newtonian form, except that the viscosity is a function of the invariants of both kinematic tensors on which the stress depends. This simple constitutive equation has potential applications in liquid flow process simulations, since it combines simplicity with the capability of responding independently to shear and extension, as real liquids seem to do. Finally, possible forms for the new viscosity function are discussed.

Original languageEnglish (US)
Pages (from-to)209-214
Number of pages6
JournalRheologica Acta
Issue number2
StatePublished - Mar 1 1995


  • Constitutive model
  • complex flow modelling
  • flow-sensitive viscosity


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