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Computational homogenization of uncoupled consolidation in micro‐heterogeneous porous media
Author(s) -
Larsson Fredrik,
Runesson Kenneth,
Su Fang
Publication year - 2009
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.862
Subject(s) - homogenization (climate) , consolidation (business) , nonlinear system , substructure , porous medium , representative elementary volume , parametric statistics , materials science , mechanics , mathematics , porosity , geotechnical engineering , geology , structural engineering , physics , engineering , composite material , microstructure , ecology , statistics , accounting , quantum mechanics , business , biology , biodiversity
Variationally consistent homogenization is exploited for the analysis of transient uncoupled consolidation in micro‐heterogeneous porous solids, whereby the classical approach of first‐order homogenization for stationary problems is extended to transient problems. Homogenization is then carried out in the spatial domain on representative volume elements (RVE), which are introduced in quadrature points in standard fashion. Along with the classical averages, a higher‐order conservation quantity is obtained. An iterative FE 2 ‐algorithm is devised for the case of nonlinear permeability and storage coefficients, and it is applied to pore pressure changes in asphalt‐concrete (particle composite). Various parametric studies are carried out, in particular, with respect to the influence of the ‘substructure length scale’ that is represented by the size of the RVE's. Copyright © 2009 John Wiley & Sons, Ltd.