Abstract
The paper deals with a mathematical description of instability and localization in rocks through a multi-scale modeling strategy with coupled multiphysics. We adopt a homogenization approach to work out an effective description of microscopic phenomena at the continuum through defining a Representative Volume Element (RVE). The role of hydro-mechanical coupling in the transition from an otherwise initial diffuse state to a localized state can be investigated through the gradual degradation of the kinematics due to micro-fracture formation.
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References
Dormieux, L., Kondo, D., Ulm, F.J.: Microporomechanics. Wiley, The Atrium, Southern Gate, Chichester, West Sussex PO19 8SQ, England (2006). doi:10.1002/0470032006
Nemat-Nasser, S., Hori, M.: Micromechanics: Overall Properties of Heterogeneous Materials, North-Holland (1993)
Wan, R.G., Eghbalian, M.: Int. J. Solids Struct. 96, 274 (2016). doi:10.1016/j.ijsolstr.2016.06.002
Zhao, C., Hobbs, B.E., Ord, A., Hornby, P., Shenglin, P., Liu, L.: Geophys. J. Int. 166(2), 970 (2006). doi:10.1111/j.1365-246X.2006.03049.x
Zehnder, A.T.: In Fracture Mechanics, pp. 7–32, Springer Netherlands (2012). doi:10.1007/978-94-007-2595-9_2
Golshani, A., Okui, Y., Oda, M., Takemura, T.: Mech. Mater. 38(4), 287 (2006). doi:10.1016/j.mechmat.2005.07.003
Shao, J.F., Zhou, H., Chau, K.T.: Int. J. Numer. Anal. Meth. Geomech. 29(12), 1231 (2005). doi:10.1002/nag.457
Huang, Z., Yao, J., Li, Y., Wang, C., Lv, X.: Commun. Comput. Phys. 9(1), 180 (2011). doi:10.4208/cicp.150709.130410a
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This work is jointly funded by the Natural Science and Engineering Council of Canada and the Foundation Computer Modeling Group (FCMG).
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Eghbalian, M., Wan, R. (2017). Multiscale Investigation of Microcrack-Induced Instability in Rocks. In: Papamichos, E., Papanastasiou, P., Pasternak, E., Dyskin, A. (eds) Bifurcation and Degradation of Geomaterials with Engineering Applications. IWBDG 2017. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-56397-8_37
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DOI: https://doi.org/10.1007/978-3-319-56397-8_37
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