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Micromechanical models of the strength of a sandstone
Author(s) -
Dormieux L.,
Jeannin L.,
Bemer E.,
Le T. H.,
Sanahuja J.
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.804
Subject(s) - homogenization (climate) , brittleness , micromechanics , microstructure , materials science , failure mechanism , geotechnical engineering , nonlinear system , von mises yield criterion , geology , porosity , composite material , mechanics , structural engineering , engineering , composite number , finite element method , physics , biodiversity , ecology , quantum mechanics , biology
Abstract In this paper, the strength of a sandstone is determined from a micromechanical approach. The microstructure of the rock is described as a porous polycrystal. A von Mises criterion is used for the strength of the solid grains. The grains are surrounded by Mohr–Coulomb interfaces describing the cement phase. The macroscopic strength of the polycrystal is determined by means of nonlinear homogenization techniques. The failure mechanism of the grains is assumed to be ductile. It is combined with a failure mechanism of the interfaces, which is successively assumed to be ductile and brittle. The theoretical predictions are then compared with the experimental data. Copyright © 2009 John Wiley & Sons, Ltd.