[en] This contribution discusses a coupled two-scale framework for hydro-mechanical problems in saturated heterogeneous porous geomaterials. The heterogeneous nature of such materials can lead to an anisotropy of the hydro-mechanical couplings and non-linear effects. Based on an assumed model of the mesostructure, the average macroscopic hydro-mechanical behaviour is extracted by means of a computational homogenisation procedure in a monolithic way. The ingredients needed to upscale the hydro-mechanical couplings are outlined. The two-scale simulation results are compared with direct numerical simulation for the consolidation of a particle-matrix porous material.
Mercatoris, Benoît ; Université Libre de Bruxelles - ULB > Building, Architecture and Town Planning Dept.
Massart, T. J.; Université Libre de Bruxelles (ULB), Departement of Building, Architecture and Town Planning (BATir), Av. F.D. Roosevelt 50 CP 194/2, 1050 Brussels, Belgium
Sluys, L. J.; Delft University of Technology (TUDelft), Faculty of Civil Engineering and Geosciences, P.O. Box 5048, 2600 GA Delft, Netherlands
Language :
English
Title :
A multi-scale computational scheme for anisotropic hydro-mechanical couplings in saturated heterogeneous porous media
Publication date :
2013
Event name :
8th International Conference on Fracture Mechanics of Concrete and Concrete Structures, FraMCoS 2013
Event place :
Toledo, Spain
Event date :
11 March 2013 through 14 March 2013
Audience :
International
Main work title :
Proceedings of the 8th International Conference on Fracture Mechanics of Concrete and Concrete Structures, FraMCoS 2013
Su, F., Larsson, F. and Runesson, K., 2011. Computational homogenization of coupled consolidation problems in micro-heterogeneous porous media. Int. J. Num. Meth. Engng. 88:1119-1218.
Kouznetsova, V.G., Brekelmans, W.A.M. and Baaijens, F.P.T., 2001. An approach to micro-macro modeling of heterogeneous materials. Comput. Mech. 27:37-48.
Ozdemir, I., Brekelmans, W.A.M. and Geers, M.G.D., 2008. Computational homogenization for heat conduction in heterogeneous solids. Int. J. Num. Meth. Engng. 73:185-204.
Ozdemir, I., Brekelmans, W.A.M. and Geers, M.G.D., 2008. FE2 computational homogenization for the thermomechanical analysis of heterogeneous solids. Comput. Methods Appl. Mech. Engrg. 198:602-613
Biot, M.A., 1941. General theory of three-dimensional consolidation. J. Appl. Phys. 12:155-164.
Cui, L., Cheng, A.H.D. and Kaliakin, V.N., 1996. Finite element analyses of anisotropic poroelasticity: a generalized Mandel's problem and an inclined borehole problem. Int. J. Num. Ana. Geomech. 20:381-401.
Hu, D.W., Zhou, H., Zhang, F. and Shao, J.F., 2010. Evolution of poroelastic properties and permeability in damaged sandstone. Int. J. Rock Mech. Min. Sci. 47:962-973.
Massart, T.J. and Selvadurai, A.P.S., 2012. Stress-induced permeability evolution in a quasi-brittle geomaterial. J. Geophys. Res. B 117:B07207.
Mercatoris B.C.N. and Massart T.J., 2009. Assessment of periodic homogenization-based multiscale computational schemes for quasi-brittle structural failure. Int. J. Multiscale Comput. Engng. 7:153-170.
Nguyen, V.P., Lloberas-Valls, O., Stroeven, M. and Sluys, L.J., 2011. Homogenization-based multiscale crack modelling: From micro-diffusive damage to macro-cracks. Comput. Methods Appl. Mech. Engrg. 200:1220-1236.
