Article · Wikipedia archive · Last revised Jun 18, 2026

Mixture theory

Mixture theory is used to model multiphase systems using the principles of continuum mechanics generalised to several interpenetrable continua. The basic assumption is that, at any instant of time, all phases are present at every material point, and momentum and mass balance equations are postulated. Like other models, mixture theory requires constitutive relations to close the system of equations. Krzysztof Wilmanski extended the model by introducing a balance equation of porosity.

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Mixture theory is used to model multiphase systems using the principles of continuum mechanics generalised to several interpenetrable continua.1 The basic assumption is that, at any instant of time, all phases are present at every material point, and momentum and mass balance equations are postulated. Like other models, mixture theory requires constitutive relations to close the system of equations. Krzysztof Wilmanski extended the model by introducing a balance equation of porosity.23

References

References

  1. Bowen,R. M. (1976). Eringen, A. C. (ed.). Theory of Mixtures, Part I. Continuum Physics. Vol. III. New York, USA: Academic Press.
  2. Wilmanski, Krzysztof (1996). "Porous Media at Finite Strains. The New Model with the Balance Equation of Porosity". Archives of Mechanics. 48 (4): 591–628.
  3. Wilmanski, Krzysztof (1998). Thermomechanics of Continua. Heidelberg, Germany: Springer.