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Heterogeneity and Variability of Clay Rock Microstructure in a Hydro-Mechanical Double Scale FEM × FEM Analysis

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Micro to MACRO Mathematical Modelling in Soil Mechanics

Part of the book series: Trends in Mathematics ((TM))

Abstract

Clay rocks are heterogeneous materials exhibiting a complex structure at various scales. A numerical approach is developed to take into account their multi-scale behaviour and the effect of microstructural characteristics at larger scale. The considered approach is a double-scale finite element method (FEM × FEM) using realistic microstructures of a claystone to model its hydro-mechanical behaviour at microscale. The microstructural characteristics are based on experimental characterisation. The double-scale computations highlight the relation between the claystone behaviour at micro and macro scales. They allow the prediction of deformation processes, microcracking, and failure in post-peak regime at both scales.

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Acknowledgements

The authors are grateful for financial support from CNRS in the context of the NEEDS-MiPor-VARAPE project.

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Correspondence to B. Pardoen .

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Pardoen, B., Pont, S.D., Desrues, J., Bésuelle, P., Prêt, D., Cosenza, P. (2018). Heterogeneity and Variability of Clay Rock Microstructure in a Hydro-Mechanical Double Scale FEM × FEM Analysis. In: Giovine, P., Mariano, P., Mortara, G. (eds) Micro to MACRO Mathematical Modelling in Soil Mechanics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-99474-1_25

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