Variational theories of two-phase continuum poroelastic mixtures: A short survey

Roberto Serpieri, Alessandro Della Corte, Francesco Travascio, Luciano Rosati

Research output: Chapter in Book/Report/Conference proceedingChapter

8 Scopus citations


A comprehensive survey is presented on two-phase and multi-phase continuum poroelasticity theories whose governing equations at a macroscopic level are based, to different extents, either on the application of classical variational principles or on variants of Hamilton’s least Action principle. As a focal discussion, the ‘closure problem’ is recalled, since it is widespread opinion in the multiphase poroelasticity community that even the simpler two-phase purely-mechanical problem of poroelasticity has to be regarded as a still-open problem of applied continuum mechanics. This contribution integrates a previous review by Bedford and Drumheller, and covers the period from the early use of variational concepts by Biot, together with the originary employment of porosity-enriched kinematics by Cowin and co-workers, up to variational theories of multiphase poroelasticity proposed in the most recent years.

Original languageEnglish (US)
Title of host publicationAdvanced Structured Materials
PublisherSpringer Verlag
Number of pages18
StatePublished - Apr 1 2016

Publication series

NameAdvanced Structured Materials
ISSN (Print)18698433
ISSN (Electronic)18698441


  • Compressible phases
  • Effective stress
  • Generalized continua
  • Variational poroelasticity

ASJC Scopus subject areas

  • Materials Science(all)


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