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

5 Citations (Scopus)

Abstract

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
Pages377-394
Number of pages18
Volume42
DOIs
StatePublished - Apr 1 2016

Publication series

NameAdvanced Structured Materials
Volume42
ISSN (Print)18698433
ISSN (Electronic)18698441

Fingerprint

Continuum mechanics
Kinematics
Porosity

Keywords

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

ASJC Scopus subject areas

  • Materials Science(all)

Cite this

Serpieri, R., Corte, A. D., Travascio, F., & Rosati, L. (2016). Variational theories of two-phase continuum poroelastic mixtures: A short survey. In Advanced Structured Materials (Vol. 42, pp. 377-394). (Advanced Structured Materials; Vol. 42). Springer Verlag. https://doi.org/10.1007/978-3-319-31721-2_17

Variational theories of two-phase continuum poroelastic mixtures : A short survey. / Serpieri, Roberto; Corte, Alessandro Della; Travascio, Francesco; Rosati, Luciano.

Advanced Structured Materials. Vol. 42 Springer Verlag, 2016. p. 377-394 (Advanced Structured Materials; Vol. 42).

Research output: Chapter in Book/Report/Conference proceedingChapter

Serpieri, R, Corte, AD, Travascio, F & Rosati, L 2016, Variational theories of two-phase continuum poroelastic mixtures: A short survey. in Advanced Structured Materials. vol. 42, Advanced Structured Materials, vol. 42, Springer Verlag, pp. 377-394. https://doi.org/10.1007/978-3-319-31721-2_17
Serpieri R, Corte AD, Travascio F, Rosati L. Variational theories of two-phase continuum poroelastic mixtures: A short survey. In Advanced Structured Materials. Vol. 42. Springer Verlag. 2016. p. 377-394. (Advanced Structured Materials). https://doi.org/10.1007/978-3-319-31721-2_17
Serpieri, Roberto ; Corte, Alessandro Della ; Travascio, Francesco ; Rosati, Luciano. / Variational theories of two-phase continuum poroelastic mixtures : A short survey. Advanced Structured Materials. Vol. 42 Springer Verlag, 2016. pp. 377-394 (Advanced Structured Materials).
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