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Determination of macro-scale soil properties from pore scale structures - Model derivation

Determination of macro-scale soil properties from pore scale structures - Model derivation
Determination of macro-scale soil properties from pore scale structures - Model derivation
In this paper we use homogenisation to derive a set of macro-scale poro-elastic equations for soils composed of rigid solid particles, air filled pore-space and aporo-elastic mixed phase. We consider the derivation in the limit of large deformation and show that by solving representative problems on the micro-scale we can parametrise the macro-scale equations. To validate the homogenisation procedure we compare the predictions of the homogenised equations to those of the full equations for a range of different geometriesand material properties. We show that the results differ by . 2% for all cases considered. The success of the homogenisation scheme means that it can be usedto determine the macro-scale poro-elastic properties of soils from the underlying structure. Hence, it will prove a valuable tool in both characterisation andoptimisation.
1364-5021
Daly, Keith
29920932-1779-4d08-81f8-bdd898191e5a
Roose, Tiina
3581ab5b-71e1-4897-8d88-59f13f3bccfe
Daly, Keith
29920932-1779-4d08-81f8-bdd898191e5a
Roose, Tiina
3581ab5b-71e1-4897-8d88-59f13f3bccfe

Daly, Keith and Roose, Tiina (2018) Determination of macro-scale soil properties from pore scale structures - Model derivation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. (doi:10.1098/rspa.2017.0141).

Record type: Article

Abstract

In this paper we use homogenisation to derive a set of macro-scale poro-elastic equations for soils composed of rigid solid particles, air filled pore-space and aporo-elastic mixed phase. We consider the derivation in the limit of large deformation and show that by solving representative problems on the micro-scale we can parametrise the macro-scale equations. To validate the homogenisation procedure we compare the predictions of the homogenised equations to those of the full equations for a range of different geometriesand material properties. We show that the results differ by . 2% for all cases considered. The success of the homogenisation scheme means that it can be usedto determine the macro-scale poro-elastic properties of soils from the underlying structure. Hence, it will prove a valuable tool in both characterisation andoptimisation.

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More information

Accepted/In Press date: 22 December 2017
e-pub ahead of print date: 31 January 2018

Identifiers

Local EPrints ID: 416610
URI: http://eprints.soton.ac.uk/id/eprint/416610
ISSN: 1364-5021
PURE UUID: fb9bf6cb-02c3-4fe3-ab2a-83a2aab19ecf
ORCID for Tiina Roose: ORCID iD orcid.org/0000-0001-8710-1063

Catalogue record

Date deposited: 03 Jan 2018 17:30
Last modified: 26 Nov 2021 05:09

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