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Published in: Geotechnical and Geological Engineering 5/2020

25-05-2020 | Original Paper

Integration of Transverse Isotropy in the Instantaneous Behaviour of Geomaterials with Application to Numerical Modelling of Underground Structures

Authors: Inès Djouadi, Richard Giot, Simon Raude, Sam Cuvilliez, François Laigle, Roméo Fernandes

Published in: Geotechnical and Geological Engineering | Issue 5/2020

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Abstract

The paper deals with the integration of structural anisotropy in a pre-existing constitutive law for rocks, dedicated to the numerical modelling of underground structures. On the basis of bibliographic study, two approaches were selected and applied to a simple constitutive law to begin with, namely the Drucker–Prager model. The two appraoches considered are the fabric tensor approach and the weakness plane approach. Both approaches are described, the equations are provided and the resulting anisotropic models are implemented in the open source finite element software (Code_Aster in EDF R&D code général pour l’étude du comportement mécanique des structures diffusé sous licence GNU GPL, 2017). The models are then applied to the simplified numerical modelling of an underground facility and the main results are provided. The main advantages and drawbacks of both approaches are highlighted. The main findings of this work is that the fabric tensor approach is the most fitted for the material considered for the future prospects. The future prospects are the integration of anisotropy in a much more complex isotropic model being developed by EDF research team for application to geomaterials.

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Appendix
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Literature
go back to reference AFTES (1979) Stabilité des tunnels par la méthode convergence-confinement. Tunnels et ouvrages souterrains (\({\text{n}}^{\circ }\) 32) AFTES (1979) Stabilité des tunnels par la méthode convergence-confinement. Tunnels et ouvrages souterrains (\({\text{n}}^{\circ }\) 32)
go back to reference Armand G, Bumbieler F, Conil N, de la Vaissière R, Bosgiraud JM, Vu MN (2017a) Main outcomes from in situ thermo-hydro-mechanical experiments programme to demonstrate feasibility of radioactive high-level waste disposal in the Callovo–Oxfordian claystone. J Rock Mech Geotech Eng 9:415–427CrossRef Armand G, Bumbieler F, Conil N, de la Vaissière R, Bosgiraud JM, Vu MN (2017a) Main outcomes from in situ thermo-hydro-mechanical experiments programme to demonstrate feasibility of radioactive high-level waste disposal in the Callovo–Oxfordian claystone. J Rock Mech Geotech Eng 9:415–427CrossRef
go back to reference Armand G, Conil N, Talandier J, Seyedi D (2017b) Fundamental aspects of the hydromechanical behaviour of Callovo–Oxfordian claystone: from experimental studies to model calibration and validation. Comput Geotech 85:277–286CrossRef Armand G, Conil N, Talandier J, Seyedi D (2017b) Fundamental aspects of the hydromechanical behaviour of Callovo–Oxfordian claystone: from experimental studies to model calibration and validation. Comput Geotech 85:277–286CrossRef
go back to reference Attewell PB, Sandford MR (1974) Intrinsic shear strength of a brittle anisotropic rock—I: experimental and mechanical interpretation. Int J Rock Mech Min Sci Geomech Abstr 11(11):423–430CrossRef Attewell PB, Sandford MR (1974) Intrinsic shear strength of a brittle anisotropic rock—I: experimental and mechanical interpretation. Int J Rock Mech Min Sci Geomech Abstr 11(11):423–430CrossRef
go back to reference Boehler JP (1975) Contributions théoriques et expérimentales à l’étude des milieux plastiques anisotropes. PhD thesis, Grenoble Boehler JP (1975) Contributions théoriques et expérimentales à l’étude des milieux plastiques anisotropes. PhD thesis, Grenoble
go back to reference Casagrande A, Carillo N (1944) Shear failure of anisotropic materials. Proc Boston Soc Civ Eng 31:74–87 Casagrande A, Carillo N (1944) Shear failure of anisotropic materials. Proc Boston Soc Civ Eng 31:74–87
go back to reference Chang C, Hicher PY (2005) An elasto-plastic model for granular materials with microstructural consideration. Int J Solids Struct 42(14):4258–4277CrossRef Chang C, Hicher PY (2005) An elasto-plastic model for granular materials with microstructural consideration. Int J Solids Struct 42(14):4258–4277CrossRef
go back to reference Code\(\_\)Aster (2017) EDF R&D, code général pour l’étude du comportement mécanique des structures diffusé sous licence GNU GPL Code\(\_\)Aster (2017) EDF R&D, code général pour l’étude du comportement mécanique des structures diffusé sous licence GNU GPL
go back to reference Donath FA (1961) Experimental study of shear failure in anisotropic rocks. Geol Soc Am Bull 72:985CrossRef Donath FA (1961) Experimental study of shear failure in anisotropic rocks. Geol Soc Am Bull 72:985CrossRef
go back to reference Donath FA (1964) A strength variation and deformational behaviour of anisotropic rocks. In: Judid WR (ed) State of stress in Earth’s crust. Elsevier, New York, pp 281–297 Donath FA (1964) A strength variation and deformational behaviour of anisotropic rocks. In: Judid WR (ed) State of stress in Earth’s crust. Elsevier, New York, pp 281–297
go back to reference Duveau G, Shao J, Henry J (1998) Assessment of some failure criteria for strongly anisotropic geomaterials. Mech Cohes Frict Mater 3(1):1–26CrossRef Duveau G, Shao J, Henry J (1998) Assessment of some failure criteria for strongly anisotropic geomaterials. Mech Cohes Frict Mater 3(1):1–26CrossRef
go back to reference Giot R (2004) Interpretation des mesures de contraintes par relaxation dans les formations argileuses profondes. PhD thesis, Institut National Polytechnique de Lorraine Giot R (2004) Interpretation des mesures de contraintes par relaxation dans les formations argileuses profondes. PhD thesis, Institut National Polytechnique de Lorraine
go back to reference Hill R (1948) A theory of the yielding and plastic flow of anisotropic metals. Proc R Soc Lond 193:281–297 Hill R (1948) A theory of the yielding and plastic flow of anisotropic metals. Proc R Soc Lond 193:281–297
go back to reference Hoek E, Brown E (1980) Empirical strength criterion for rock masses. J Geotech Eng Div 106:1013–1035 Hoek E, Brown E (1980) Empirical strength criterion for rock masses. J Geotech Eng Div 106:1013–1035
go back to reference Jaeger JC (1960) Shear failure of anisotropic rocks. Geol Mag 97(1):65–72CrossRef Jaeger JC (1960) Shear failure of anisotropic rocks. Geol Mag 97(1):65–72CrossRef
go back to reference Jaeger JC (1971) Friction of rocks and stability of rock slope. Geotechnique 21(2):97–134CrossRef Jaeger JC (1971) Friction of rocks and stability of rock slope. Geotechnique 21(2):97–134CrossRef
go back to reference Kanatani KH (1984) Distribution of directional data and fabric tensors. Int J Eng Sci 22(2):149–164CrossRef Kanatani KH (1984) Distribution of directional data and fabric tensors. Int J Eng Sci 22(2):149–164CrossRef
go back to reference Kassa H, Nordal S (2016) Numerical models on anisotropy of rocks. In: Proceedings of the 17th Nordic geotechnical meeting, challenges in Nordic geotechnic, Reykjavik, pp 587–596 Kassa H, Nordal S (2016) Numerical models on anisotropy of rocks. In: Proceedings of the 17th Nordic geotechnical meeting, challenges in Nordic geotechnic, Reykjavik, pp 587–596
go back to reference Kimoto S (2002) Constitutive models for geomaterials considering structural changes and anisotropy. PhD thesis, Université de Kyoto Kimoto S (2002) Constitutive models for geomaterials considering structural changes and anisotropy. PhD thesis, Université de Kyoto
go back to reference Kleine A (2007) Modélisation numérique du comportement des ouvrages souterrains par une approche viscoplastique. PhD thesis, INPL Kleine A (2007) Modélisation numérique du comportement des ouvrages souterrains par une approche viscoplastique. PhD thesis, INPL
go back to reference Laigle F (2004) Modèle conceptuel pour le développement de lois de comportement adaptées à la conception des ouvrages souterrains. PhD thesis, École Centrale de Lyon Laigle F (2004) Modèle conceptuel pour le développement de lois de comportement adaptées à la conception des ouvrages souterrains. PhD thesis, École Centrale de Lyon
go back to reference Masure P (1970) Comportement des roches à anisotropie planaire discontinue - application à l’étude de la stabilité des excavations souterraines. PhD thesis, ENSG Masure P (1970) Comportement des roches à anisotropie planaire discontinue - application à l’étude de la stabilité des excavations souterraines. PhD thesis, ENSG
go back to reference McLamore R, Grey KE (1967) The mechanical behavior of anisotropic sedimentary rocks. J Eng Ind Trans ASME 89(1):62–73CrossRef McLamore R, Grey KE (1967) The mechanical behavior of anisotropic sedimentary rocks. J Eng Ind Trans ASME 89(1):62–73CrossRef
go back to reference Meftah K, Magnan J (1988) Anisotropie de la résistance, de la déformabilité et de la perméabilité des sols - etat des connaissances. Rapports des laboratoires - Série: Géotechnique - Mécanique des sols - Sciences de la Terre GT-31 Meftah K, Magnan J (1988) Anisotropie de la résistance, de la déformabilité et de la perméabilité des sols - etat des connaissances. Rapports des laboratoires - Série: Géotechnique - Mécanique des sols - Sciences de la Terre GT-31
go back to reference Niandou H (1994) Etude du comportement rheologique et modelisation de l’argilite de tournemire. application a la stabilite d’ouvrages souterrains. PhD thesis, Universite des Sciences et Technologies de Lille, Laboratoire de Mecanique de Lille URA 1441 CNRS Niandou H (1994) Etude du comportement rheologique et modelisation de l’argilite de tournemire. application a la stabilite d’ouvrages souterrains. PhD thesis, Universite des Sciences et Technologies de Lille, Laboratoire de Mecanique de Lille URA 1441 CNRS
go back to reference Niandou H, Shao J, Henry J, Fourmaintraux D (1997) Laboratory investigation of the behaviour of Tournemire shale. Int J Rock Mech Min Sci 34(1):3–16CrossRef Niandou H, Shao J, Henry J, Fourmaintraux D (1997) Laboratory investigation of the behaviour of Tournemire shale. Int J Rock Mech Min Sci 34(1):3–16CrossRef
go back to reference Oliveira D (2012) Application of a transversely isotropic brittle rock mass model in roof support design. Int J Min Sci Technol 22(5):639–643CrossRef Oliveira D (2012) Application of a transversely isotropic brittle rock mass model in roof support design. Int J Min Sci Technol 22(5):639–643CrossRef
go back to reference Pariseau W (1968) Plasticity theory for anisotropic rocks and soils. In: Proceedings of 10th U.S. symposium on rock mechanics (USRMS), Austin (Texas), pp 267–295 Pariseau W (1968) Plasticity theory for anisotropic rocks and soils. In: Proceedings of 10th U.S. symposium on rock mechanics (USRMS), Austin (Texas), pp 267–295
go back to reference Pietruszczak S, Mroz Z (2000) Formulation of anisotropic failure criteria incorporating a microstructure tensor. Comput Geotech 26(2):105–112CrossRef Pietruszczak S, Mroz Z (2000) Formulation of anisotropic failure criteria incorporating a microstructure tensor. Comput Geotech 26(2):105–112CrossRef
go back to reference Pietruszczak S, Lydzba D, Shao J (2002) Modelling of inherent anisotropy in sedimentary rocks. Int J Solids Struct 39(3):637–648CrossRef Pietruszczak S, Lydzba D, Shao J (2002) Modelling of inherent anisotropy in sedimentary rocks. Int J Solids Struct 39(3):637–648CrossRef
go back to reference Sainsbury B, Pierce M, Mas Ivars D (2008a) Analysis of caving behavior using a synthetic rock mass (SRM)—ubiquitous joint rock mass (UJRM) modelling technique. In: Conference: 1st southern hemisphere international rock mechanics symposium, at Perth, Australia, Perth (Australia), pp 243–253 Sainsbury B, Pierce M, Mas Ivars D (2008a) Analysis of caving behavior using a synthetic rock mass (SRM)—ubiquitous joint rock mass (UJRM) modelling technique. In: Conference: 1st southern hemisphere international rock mechanics symposium, at Perth, Australia, Perth (Australia), pp 243–253
go back to reference Sainsbury B, Pierce M, Mas Ivars D (2008b) Simulation of rock mass strength anisotropy and scale effects using a ubiquitous joint rock mass (UJRM) model. In: Continuum and distinct element numerical modeling in geo-engineering, Minneapolis (USA), pp 06–02 Sainsbury B, Pierce M, Mas Ivars D (2008b) Simulation of rock mass strength anisotropy and scale effects using a ubiquitous joint rock mass (UJRM) model. In: Continuum and distinct element numerical modeling in geo-engineering, Minneapolis (USA), pp 06–02
go back to reference Tien Y, Kuo M (2001) A failure criterion for transversely isotropic rocks. Int J Rock Mech Min Sci 38(3):399–412CrossRef Tien Y, Kuo M (2001) A failure criterion for transversely isotropic rocks. Int J Rock Mech Min Sci 38(3):399–412CrossRef
Metadata
Title
Integration of Transverse Isotropy in the Instantaneous Behaviour of Geomaterials with Application to Numerical Modelling of Underground Structures
Authors
Inès Djouadi
Richard Giot
Simon Raude
Sam Cuvilliez
François Laigle
Roméo Fernandes
Publication date
25-05-2020
Publisher
Springer International Publishing
Published in
Geotechnical and Geological Engineering / Issue 5/2020
Print ISSN: 0960-3182
Electronic ISSN: 1573-1529
DOI
https://doi.org/10.1007/s10706-020-01336-z

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