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Microstructural Effects on Strain Localization in a Multiscale Model for Hydro-Mechanical Coupling

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Bifurcation and Degradation of Geomaterials with Engineering Applications (IWBDG 2017)

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Abstract

The formulation and implementation of a double-scale finite element model for hydro-mechanical coupling in the framework of the finite element squared method has allowed studying macroscale boundary value problems in a poromechanical continuum. The macroscale constitutive relations are directly derived from the micromechanical interaction between fluid and solid microstructure, captured in representative elementary volumes. The application of this model in the simulation of a biaxial test and a gallery excavation problem is presented here to give examples of the model in strain localization problems. While using simple micromechanical models, the results demonstrate the ability of the model to provide complex macroscale material behaviour, that controls the initiation and development of the strain localization.

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References

  1. Bilbie, G., Dascalu, C., Chambon, R., Caillerie, D.: Micro-fracture instabilities in granular solids. Int. J. Solids Struct. 3(1), 25–35 (2008)

    Google Scholar 

  2. Chambon, R., Caillerie, D., Matsuchima, T.: Plastic continuum with microstructure, local second gradient theories for geomaterials: localization studies. Int. J. Solids Struct. 38(46), 8503–8527 (2001)

    Article  MATH  Google Scholar 

  3. Collin, F., Chambon, R., Charlier, R.: A finite element method for poro mechanical modelling of geotechnical problems using local second gradient models. Int. J. Numer. Methods Eng. 65(11), 1749–1772 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  4. van den Eijnden, B.: Multiscale modelling of the hydromechanical coupling in argillaceous rocks. Ph.D. Thesis, Université Grenoble Alpes (2015)

    Google Scholar 

  5. van den Eijnden, A.P., Bésuelle, P., Chambon, R., Collin, F.: A FE\(^2\) modelling approach to hydromechanical coupling in cracking-induced localization problems. Int. J. Solids Struct. 97, 475–488 (2016)

    Article  Google Scholar 

  6. van den Eijnden, A.P. Bésuelle, P., Collin, F., Chambon, R., Desrues, J.: Modeling the strain localization around an underground gallery with a hydro-mechanical double scale model; effect of anisotropy. Comput. Geotech. (2016)

    Google Scholar 

  7. Frey, J., Chambon, R., Dascalu, C.: A two-scale poromechanical model for cohesive rocks. Acta Geotech. 8(2), 107–124 (2013)

    Article  Google Scholar 

  8. Germain, P.: The method of virtual power in continuum mechanics. Part 2: Microstructure. SIAM J. Appl. Math. 25(3), 556–575 (1973)

    Article  MATH  Google Scholar 

  9. Kouznetsova, V., Brekelmans, W.A.M., Baaijens, F.P.T.: An approach to micro-macro modeling of heterogeneous materials. Comput. Mech. 27(1), 37–48 (2001)

    Article  MATH  Google Scholar 

  10. Marinelli, F., van den Eijnden, A.P., Sieffert, Y., Chambon, R., Collin, F.: Modeling of granular solids with computational homogenization: comparison with Biot’s theory. Finite Elem. Anal. Des. 119, 45–62 (2016)

    Article  MathSciNet  Google Scholar 

  11. Mindlin, R.D.: Micro-structure in linear elasticity. Arch. Ration. Mech. Anal. 16, 51–78 (1964)

    Article  MathSciNet  MATH  Google Scholar 

  12. Özdemir, I., Brekelmans, W.A.M., Geers, M.G.D.: Computational homogenization for heat conduction in heterogeneous solids. Int. J. Numer. Methods Eng. 73(2), 185–204 (2008)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to A. P. van den Eijnden .

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van den Eijnden, A.P., Bésuelle, P., Collin, F., Chambon, R. (2017). Microstructural Effects on Strain Localization in a Multiscale Model for Hydro-Mechanical Coupling. 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_29

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  • DOI: https://doi.org/10.1007/978-3-319-56397-8_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-56396-1

  • Online ISBN: 978-3-319-56397-8

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