M. Biot General theory of three-dimensional consolidation J. Appl. Phys. 12 1941 155 164
G. Viggiani, S. Hall, E. Romero, Advanced experimental techniques in geomechanics, ALERT Doctoral School 2012, 2012.
Y. Song, C. Davy, D. Troadec, A.-M. Blanchenet, F. Skoczylas, J. Talandier, and J. Robinet Multi-scale pore structure of {COx} claystone: towards the prediction of fluid transport Mar. Pet. Geol. 65 2015 63 82
J.D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 241 1957 376 396
T. Mori, and K. Tanaka Average stress in matrix and average elastic energy of materials with misfitting inclusions Acta Metall. 21 1973 571 574
M. Hori, and S. Nemat-Nasser Double-inclusion model and overall moduli of multi-phase composites Mech. Mater. 14 1993 189 206
A.V. Hershey The elasticity of an isotropic aggregate of anisotropic cubic crystals J. Appl. Mech. 21 3 1954 236
R. Hill A self-consistent mechanics of composite materials J. Mech. Phys. Solids 13 1965 213 222
Z. Hashin The elastic moduli of heterogeneous materials J. Appl. Mech. 29 1 1962 143 150
R. Christensen, and K. Lo Solutions for effective shear properties in three phase sphere and cylinder models J. Mech. Phys. Solids 27 1979 315 330
Z. Hashin Analysis of composite materials, a survey ASME. J. Appl. Mech. 50 3 1983 481 505
J.L. Auriault, and E. Sanchez-Palencia Etude du comportement macroscopique d'un milieu poreux saturé déformable J. Méc. 16 1977 576 603
A. Bensoussan, J.L. Lions, and G. Papanicolaou Asymptotic Analysis for Periodic Structures 1978 North Holland Amsterdam
E. Sanchez-Palencia Non-Homogeneous Media and Vibration Theory, Fluid Flow in Porous Media 1980 Springer-Verlag Berlin
S. Nemat-Nasser, M. Hori, Micromechanics: overall properties of heterogeneous materials, in: North-Holland Series in Applied Mathematics and Mechanics, vol. 37, Amsterdam, 1993.
V. Deudé, L. Dormieux, D. Kondo, and S. Maghous Micromechanical approach to nonlinear poroelasticity: application to cracked rocks J. Eng. Mech. 128 2002 848 855
K. Terada, and N. Kikuchi Non linear application method for practical application S. Ghosh, M. Ostoja-Starzewski, ASME International Mechanical Engineering Congress and Exposition 1995 185
C. Miehe, J. Schroder, and J. Schotte Computational homogenization analysis in finite plasticity simulation of texture development in polycrystalline materials Comput. Methods Appl. Mech. Eng. 171 1999 387 418
C. Miehe, J. Schotte, and J. Schröder Computational micro-macro transitions and overall moduli in the analysis of polycrystals at large strains Comput. Mater. Sci. 16 1999 372 382
R. Smit, W. Brekelmans, and H. Meijer Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling Comput. Methods Appl. Mech. Eng. 155 1998 181 192
F. Feyel Multiscale {FE2} elastoviscoplastic analysis of composite structures Comput. Mater. Sci. 16 1999 344 354
F. Feyel, and J.-L. Chaboche Fe2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre sic/ti composite materials Comput. Methods Appl. Mech. Eng. 183 2000 309 330
V. Kouznetsova, M.G.D. Geers, and W.A.M. Brekelmans Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme Int. J. Numer. Methods Eng. 54 2002 1235 1260
V.G. Kouznetsova, M.G.D. Geers, and W.A.M. Brekelmans Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy Comput. Methods Appl. Mech. Eng. 193 2004 5525 5550
M. Geers, V. Kouznetsova, and W. Brekelmans Multi-scale computational homogenization: trends and challenges J. Comput. Appl. Math. 234 2010 2175 2182 Fourth International Conference on Advanced Computational Methods in Engineering (ACOMEN 2008)
D.J. Luscher, D.L. McDowell, and C.A. Bronkhorst A second gradient theoretical framework for hierarchical multiscale modeling of materials Int. J. Plast. 26 2010 1248 1275 Special Issue In Honor of Lallit Anand
J. Schröder A numerical two-scale homogenization scheme: the fe2-method J. Schröder, K. Hackl, Plasticity and Beyond, CISM International Centre for Mechanical Sciences vol. 550 2014 Springer Vienna 1 64
I. Özdemir, W.A.M. Brekelmans, and M.G.D. Geers Computational homogenization for heat conduction in heterogeneous solids Int. J. Numer. Methods Eng. 73 2008 185 204
F. Su, F. Larsson, and K. Runesson Computational homogenization of coupled consolidation problems in micro-heterogeneous porous media Int. J. Numer. Methods Eng. 88 2011 1198 1218
T.J. Massart, and A.P.S. Selvadurai Stress-induced permeability evolution in a quasi-brittle geomaterial J. Geophys. Res.: Solid Earth 117 2012 B07207
J. Frey, R. Chambon, and C. Dascalu A two-scale poromechanical model for cohesive rocks Acta Geotech. 8 2013 107 124
R. Charlier, Approche unifiée de quelques problemes non lineaires de mécanique des milieux conutinus par la méthode des éléments finis (Ph.D. thesis), Université de Liège, 1986-1987.
F. Collin, Couplages thermo-hydro-mécaniques dans les sols et les roches tendres partiellement saturés (Ph.D. thesis), Université de Liège, Faculté de Science Apppliquées, 2003.
E. Catalano, B. Chareyre, and E. Barthelemy Pore-scale modeling of fluid-particles interaction and emerging poromechanical effects Int. J. Numer. Anal. Methods Geomech. 38 2014 51 71
O.C. Zienckiewicz, R. Taylor, The Finite Element Method Fifth edition Volume 1: The Basis, McGraw-Hill, Butterworth-Heinemann: Stonchem, MA, 2000.
O. Coussy Poromechanics 2004 Laboratoire Central des Ponts et Chausées Paris
R.W. Lewis, and B.A. Schrefler The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media 1999 Wiley New York
J.L. Auriault, C. Geindreau, P. Royer, and J. Bloch Poromechanics II 2002 CRC Press Grenoble
R. de Boer Theory of Porous Media 2000 Springer Berlin
R. de Boer Theory of Porous Media: Highlights in Historical Development and Current State 2012 Springer Science & Business Media Berlin
F. Collin, R. Chambon, and R. Charlier A finite element method for poro mechanical modelling of geotechnical problems using local second gradient models Int. J. Numer. Methods Eng. 65 2006 1749 1772
R.I. Borja, and E. Alarcón A mathematical framework for finite strain elastoplastic consolidation part 1: balance laws, variational formulation, and linearization Comput. Methods Appl. Mech. Eng. 122 1995 145 171
R.I. Borja, C. Tamagnini, and E. Alarcón Elastoplastic consolidation at finite strain part 2: finite element implementation and numerical examples Comput. Methods Appl. Mech. Eng. 159 1998 103 122
T. Matsushima, R. Chambon, and D. Caillerie Large strain finite element analysis of a local second gradient: application Int. J. Numer. Methods Eng. 54 2002 499 521
Y. Sieffert, O. Buzzi, and F. Collin Numerical study of shear band instability and effect of cavitation on the response of a specimen under undrained biaxial loading Int. J. Solids Struct. 51 2014 1686 1696
K. Terada, M. Hori, T. Kyoya, and N. Kikuchi Simulation of the multi-scale convergence in computational homogenization approaches Int. J. Solids Struct. 37 2000 2285 2311
O. van der Sluis, P. Schreurs, W. Brekelmans, and H. Meijer Overall behaviour of heterogeneous elastoviscoplastic materials: effect of microstructural modelling Mech. Mater. 32 2000 449 462
G. Bilbie, C. Dascalu, R. Chambon, and D. Caillerie Micro-fracture instabilities in granular solids Acta Geotech. 3 2008 25 35
J. Bonet, and R.D. Wood Nonlinear Continuum Mechanics for Finite Element Analysis 1997 Cambridge University Press Cambridge
V. Reichenberger, H. Jakobs, P. Bastian, and R. Helmig A mixed-dimensional finite volume method for two-phase flow in fractured porous media Adv. Water Res. 29 2006 1020 1036
Q. Kang, D. Zhang, and S. Chen Unified lattice Boltzmann method for flow in multiscale porous media Phys. Rev. E 66 5 2002
Y. Han, and P.A. Cundall Lattice Boltzmann modeling of pore-scale fluid flow through idealized porous media Int. J. Numer. Methods Fluids 67 2011 1720 1734
C. Felippa, and K. Park Staggered transient analysis procedures for coupled mechanical systems: formulation Comput. Methods Appl. Mech. Eng. 24 1980 61 111
K.C. Park, C.A. Felippa, Partitioned transient analysis procedures for coupled-field problems: accuracy analysis, J. Appl. Mech. December 1 (1980) 47 (4) 919.
V. Kouznetsova, W.A.M. Brekelmans, F.P.T Baaijens, An approach to micro-macro modeling of heterogeneous materials, Comput. Mech. 27 (2001) 37-48.
B. van den Eijnden, Multi-scale modelling of the hydromechanical behaviour of argillaceous rocks (Ph.D. thesis), Université de Grenoble, 2015.
A. Needleman A continuum model for void nucleation by inclusion debonding J. Appl. Mech. 54 1987 525 531
V. Tvergaard Effect of fibre debonding in a whisker-reinforced metal Mater. Sci. Eng.: A 125 1990 203 213
V. Tvergaard Cohesive zone representations of failure between elastic or rigid solids and ductile solids Eng. Fract. Mech. 70 2003 1859 1868
A.P. van den Eijnden, P. Bésuelle, F. Collin, R. Chambon, J. Desrues, Modeling the strain localization around an underground gallery with a hydro-mechanical double scale model: effect of anisotropy. 2016 (submitted)
A.P. van den Eijnden, P. Bésuelle, F. Collin, R. Chambon, A FE2 modelling approach to hydromechanical coupling in cracking-induced localization problems for granular solids. Int. J. Solids Struct. 2016 (submitted)