WIAS Preprint No. 579, (2000)

Two notes on continuous modelling of porous media


  • Wilmański, Krzysztof
  • Albers, Bettina
    ORCID: 0000-0003-4460-9152

2010 Mathematics Subject Classification

  • 76S05 73B05


  • porous media, objectivity, consolidation




The note is devoted to the analysis of contributions of relative accelerations to partial momentum balance equations of multicomponent models of porous materials. We show that such contributions violate the principle of material ob jectivity. Even if we ignore this principle contributions of relative accelerations are either undistinguishable from other contributions or yield unacceptable modes of propagation of sound waves or both. Consequently we conclude that such contributions should be ignored completely in the construction of macroscopical models of porous materials.

Appeared in

  • Rational Continua, Classical and New, P. PODIO-GUIDUGLI, M. BROCATO (eds.), 183-195, Springer-Verlag, Italia Srl, Milano, 2003

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