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 language | English (US) |
|---|---|
| Title of host publication | Advanced Structured Materials |
| Publisher | Springer Verlag |
| Pages | 377-394 |
| Number of pages | 18 |
| Volume | 42 |
| DOIs | |
| State | Published - Apr 1 2016 |
Publication series
| Name | Advanced Structured Materials |
|---|---|
| Volume | 42 |
| ISSN (Print) | 18698433 |
| ISSN (Electronic) | 18698441 |
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Keywords
- Compressible phases
- Effective stress
- Generalized continua
- Variational poroelasticity
- VMTPM
ASJC Scopus subject areas
- Materials Science(all)
Cite this
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 proceeding › Chapter
}
TY - CHAP
T1 - Variational theories of two-phase continuum poroelastic mixtures
T2 - A short survey
AU - Serpieri, Roberto
AU - Corte, Alessandro Della
AU - Travascio, Francesco
AU - Rosati, Luciano
PY - 2016/4/1
Y1 - 2016/4/1
N2 - 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.
AB - 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.
KW - Compressible phases
KW - Effective stress
KW - Generalized continua
KW - Variational poroelasticity
KW - VMTPM
UR - http://www.scopus.com/inward/record.url?scp=84964331184&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84964331184&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-31721-2_17
DO - 10.1007/978-3-319-31721-2_17
M3 - Chapter
VL - 42
T3 - Advanced Structured Materials
SP - 377
EP - 394
BT - Advanced Structured Materials
PB - Springer Verlag
ER -