On the derivation of some fundamental expressions for the average stress tensor in systems of interacting particles.

R.J.J. Jongschaap

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
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Abstract

The so-called generalized Kramers-Kirkwood expression for the average stress tensor of a system of interacting point particles, derived by Bird and Curtiss on using a phase-space-kinetic formalism has been reconsidered from different points of view. First a derivation based upon volume averaging is discussed, and after that a derivation based upon a virtual work principle. The latter approach offers the possibility of distinguishing reversible (including thermodynamic and Brownian) and dissipative forces and stresses by using a projection operator, associated with the constraints of the system.
Original languageEnglish
Pages (from-to)328-335
Number of pages8
JournalRheologica acta
Volume26
Issue number4
DOIs
Publication statusPublished - 1987

Keywords

  • interacting particles
  • constraint
  • virtual work principle
  • METIS-129178
  • IR-85957
  • Average stress tensor
  • volumeaveraging

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