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Instability in Loose Sand: Experimental Results and Numerical Simulations with a Microstructural Model

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Bifurcations, Instabilities and Degradations in Geomaterials

Part of the book series: Springer Series in Geomechanics and Geoengineering ((SSGG,volume 0))

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Abstract

Under certain loading conditions, loose sand can develop instability at a shear stress level much lower than the critical state failure line. To analyze these types of problems, we have adopted the micromechanics model developed by Chang and Hicher for modelling granular material behaviour. The stress-strain relationship for a granular assembly is determined by integrating the behaviour of the inter-particle contacts in all orientations. The constitutive model is applied to simulate undrained triaxial, constant-q and proportional strain tests on loose Hostun sand. Experimental results are used to evaluate how well the model can capture the modes of instability at the assembly level. The notion of control variables is discussed according to these different loading conditions.

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References

  • Biarez, J., Hicher, P.Y.: Elementary Mechanics of Soil Behaviour, Balkema, p. 208 (1994)

    Google Scholar 

  • Chang, C.S., Sundaram, S.S., Misra, A.: Initial Moduli of Particulate Mass with Frictional Contacts. Int. J. for Numerical & Analytical Methods in Geomechanics 13(6), 626–641 (1989)

    Google Scholar 

  • Chang, C.S., Hicher, P.-Y.: An elastic-plastic model for granular materials with microstructural consideration. International Journal of Solids and Structures 42, 4258–4277 (2004)

    Article  Google Scholar 

  • Christofferson, J., Mehrabadi, M.M., Nemat-Nassar, S.: A micromechanical description on granular material behavior. ASME Journal of Applied Mechanics 48, 339–344 (1981)

    Article  Google Scholar 

  • Chu, J., Leong, W.K.: Recent progress in experimental studies on instability of granular soil. In: Labuz, J.F., Drescher, A. (eds.) International Workshop on Bifurcations and Instabilities in Geomechanics, pp. 175–191. Swets & Zeitlinger, Lisse (2003)

    Google Scholar 

  • Darve, F., Servant, G., Laouafa, F., Khoa, H.D.V.: Failure in geomaterials: continuous and discrete analyses. Computer Methods in Applied Mechanics and Engineering 193(27-29), 3057–3085 (2004)

    Article  MATH  Google Scholar 

  • Darve, F., Roguiez, X.: Homogeneous bifurcation in soils. In: Adachi, et al. (eds.) Localization and Bifurcation Theory for Soils and Rocks, pp. 43–50. Rotterdam, Balkema (1998)

    Google Scholar 

  • Darve, F., Sibille, L., Daouadji, A., Nicot, F.: Bifurcations in granular media: macro-and micro-mechanics approaches. C. R. Mecanique 335, 496–515 (2007)

    MATH  Google Scholar 

  • Gajo, A., Piffer, L., De Polo, F.: Analysis of certain factors affecting the unstable behaviour of saturated loose sand. Mechanics of Cohesive-Frictional Materials 5, 215–237 (2000)

    Article  Google Scholar 

  • Goddard, J.D.: Material instability in complex fluids. Annual Review of Fluid Mechanics 35, 113–133 (2003)

    Article  MathSciNet  Google Scholar 

  • Hicher, P.-Y.: Experimental behavior of granular materials. In: Cambou, B. (ed.) Behavior of Granular Materials, pp. 1–97. Springer, Wien (1998)

    Google Scholar 

  • Hicher, P.-Y., Chang, C.S.: An anisotropic non-linear elastic model for particulate materials. J. Geotechnical and Geoenvironmental Engrg., ASCE (8), 132 (2007)

    Google Scholar 

  • Hill, R.: A general theory of uniqueness and stability in elasto-plastic solids. J. Mechanics and Physics of Solids 6, 236–249 (1956)

    Article  Google Scholar 

  • Lade, P.V.: Instability, shear banding, and failure in granular materials. International Journal of Solids and Structures 39(13-14), 3337–3357 (2002)

    Article  Google Scholar 

  • Lanier, J., Block, J.F.: Essais à volume constant réalisés sur presse tridimensionnelle. Greco Geomaterials Report, 240–243 (1989)

    Google Scholar 

  • Laouafa, F., Darve, F.: Modelling of slope failure by a material instability mechanism. Computers and Geotechnics 29(4), 301–325 (2002)

    Article  Google Scholar 

  • Mindlin, R.D., Deresiewicz, H.: Elastic spheres in contact under varying oblique forces. ASME Trans. J. Appl. Mech. 20, 327–344 (1953)

    MathSciNet  MATH  Google Scholar 

  • Nova, R.: Controllability of the incremental response of soil specimens subjected to arbitrary loading programs. J. Mechanical Behaviour of Materials 5(2), 193–201 (1994)

    Google Scholar 

  • Nova, R., Imposimato, S.: Non-uniqueness of the incremental response of soil specimens under true-triaxial stress paths. In: Pietruszczak, Pande (eds.) Numerical Models in Geomechanics, Balkema, pp. 193–198 (1997)

    Google Scholar 

  • Oda, M.: Co-ordination Number and Its Relation to Shear Strength of Granular Material. Soils and Foundations 17(2), 29–42 (1977)

    MathSciNet  Google Scholar 

  • Rudnicki, J.W., Rice, J.: Conditions for the localization of deformation in pressure sensitive dilatant materials. International Journal of Solids and Structures 23, 371–394 (1975)

    Google Scholar 

  • Rothenburg, L., Selvadurai, A.P.S.: Micromechanical definitions of the Cauchy stress tensor for particular media. In: Selvadurai, A.P.S. (ed.) Mechanics of Structured Media, pp. 469–486. Elsevier, Amsterdam (1981)

    Google Scholar 

  • Sasitharan, S., Robertson, P.K., Sego, D.C., Morgenstern, N.R.: Collapse behavior of sand. Canadian Geotechnical Journal 30(4), 569–577 (1993)

    Article  Google Scholar 

  • Schofield, A.N., Wroth, C.P.: Critical State Soil Mechanics. McGraw-Hill, London (1968)

    Google Scholar 

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Daouadji, A., Hicher, P.Y., Chang, C.S., Jrad, M., Algali, H. (2011). Instability in Loose Sand: Experimental Results and Numerical Simulations with a Microstructural Model. In: Wan, R., Alsaleh, M., Labuz, J. (eds) Bifurcations, Instabilities and Degradations in Geomaterials. Springer Series in Geomechanics and Geoengineering, vol 0. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18284-6_2

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  • DOI: https://doi.org/10.1007/978-3-642-18284-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-18283-9

  • Online ISBN: 978-3-642-18284-6

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