Abstract
Hereby, we present an analysis of the stress partitioning mechanism for fluid saturated poroelastic media in the transition from drained (e.g., slow deformations) to undrained (e.g., fast deformation) flow conditions. Our objective is to derive fundamental solutions for the general consolidation problem and to show how Terzaghi’s law is recovered as the limit undrained flow condition is approached. Accordingly, we present the linearized form of VMTPM in a u-p dimensionless form. Subsequently, we investigate the behavior of the poroelastic system as a function of governing dimensionless numbers for the case of a displacement controlled compression test. The results of this analysis confirm that, in the limit of undrained flow, the solutions of the consolidation problem recover Terzaghi’s law. Also, it is shown that a dimensionless parameter (PI), which solely depends on mixture porosity and Poisson ratio of the solid phase, governs the consolidation of the poroelastic system.
| Original language | English (US) |
|---|---|
| Title of host publication | Advanced Structured Materials |
| Publisher | Springer Verlag |
| Pages | 169-181 |
| Number of pages | 13 |
| Volume | 67 |
| DOIs | |
| State | Published - 2017 |
Publication series
| Name | Advanced Structured Materials |
|---|---|
| Volume | 67 |
| ISSN (Print) | 18698433 |
| ISSN (Electronic) | 18698441 |
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ASJC Scopus subject areas
- Materials Science(all)
Cite this
Analysis of the quasi-static consolidation problem of a compressible porous medium. / Serpieri, Roberto; Travascio, Francesco.
Advanced Structured Materials. Vol. 67 Springer Verlag, 2017. p. 169-181 (Advanced Structured Materials; Vol. 67).Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
TY - CHAP
T1 - Analysis of the quasi-static consolidation problem of a compressible porous medium
AU - Serpieri, Roberto
AU - Travascio, Francesco
PY - 2017
Y1 - 2017
N2 - Hereby, we present an analysis of the stress partitioning mechanism for fluid saturated poroelastic media in the transition from drained (e.g., slow deformations) to undrained (e.g., fast deformation) flow conditions. Our objective is to derive fundamental solutions for the general consolidation problem and to show how Terzaghi’s law is recovered as the limit undrained flow condition is approached. Accordingly, we present the linearized form of VMTPM in a u-p dimensionless form. Subsequently, we investigate the behavior of the poroelastic system as a function of governing dimensionless numbers for the case of a displacement controlled compression test. The results of this analysis confirm that, in the limit of undrained flow, the solutions of the consolidation problem recover Terzaghi’s law. Also, it is shown that a dimensionless parameter (PI), which solely depends on mixture porosity and Poisson ratio of the solid phase, governs the consolidation of the poroelastic system.
AB - Hereby, we present an analysis of the stress partitioning mechanism for fluid saturated poroelastic media in the transition from drained (e.g., slow deformations) to undrained (e.g., fast deformation) flow conditions. Our objective is to derive fundamental solutions for the general consolidation problem and to show how Terzaghi’s law is recovered as the limit undrained flow condition is approached. Accordingly, we present the linearized form of VMTPM in a u-p dimensionless form. Subsequently, we investigate the behavior of the poroelastic system as a function of governing dimensionless numbers for the case of a displacement controlled compression test. The results of this analysis confirm that, in the limit of undrained flow, the solutions of the consolidation problem recover Terzaghi’s law. Also, it is shown that a dimensionless parameter (PI), which solely depends on mixture porosity and Poisson ratio of the solid phase, governs the consolidation of the poroelastic system.
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UR - http://www.scopus.com/inward/citedby.url?scp=85010379904&partnerID=8YFLogxK
U2 - 10.1007/978-981-10-3452-7_5
DO - 10.1007/978-981-10-3452-7_5
M3 - Chapter
VL - 67
T3 - Advanced Structured Materials
SP - 169
EP - 181
BT - Advanced Structured Materials
PB - Springer Verlag
ER -