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http://dx.doi.org/10.12989/imm.2012.5.2.157

The dilatancy and numerical simulation of failure behavior of granular materials based on Cosserat model  

Chu, Xihua (Department of engineering mechanics, Wuhan University)
Yu, Cun (Department of engineering mechanics, Wuhan University)
Xu, Yuanjie (Department of engineering mechanics, Wuhan University)
Publication Information
Interaction and multiscale mechanics / v.5, no.2, 2012 , pp. 157-168 More about this Journal
Abstract
The dilatancy of granular materials has significant influence on its mechanical behaviors. The dilation angle is taken as a constant in conventional associated or non-associated flow rules based on Drucker-Prager yields theory. However, various experimental results show the dilatancy changes during progressive failure of granular materials. A non-associated flow rule with evolution of dilation angle is adopted in this study, and Cosserat continuum theory is used to describe the behaviors of granular materials for considering to some extent the its internal structure. Numerical examples focus on the bearing capacity and localization of granular materials, and results illustrate the capability and performance of the presented model in modeling the effect on failure behavior of granular materials.
Keywords
granular materials; Cosserat continuum model; dilation angle; bearing capacity; strain localization;
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  • Reference
1 Alsaleh, M., Kitsabunnarat, A. and Helwany, S. (2009), "Strain localization and failure load predictions of geosynthetic reinforced soil structures", Interact. Multiscale Mech., 2(3), 235-261.   DOI
2 Aristoff, D. and Radin, C. (2011), "Dilatancy transition in a granular model", J Stat. Phys., 143(2), 215-225.   DOI   ScienceOn
3 Bolton, M.D. (1986), "The strength and dilatancy of sands", Geotechnique, 36(1), 65-78.   DOI   ScienceOn
4 De Borst, R. (1991), "Simulation of strain localization: a reappraisal of the Cosserat continuum", Eng. Computation., 8(4), 317-332.   DOI
5 Desimone, A. and Tamagnini, C. (2005), "Stress-dilatancy based modelling of granular materials and extensions to soils with crushable grains", Int. J. Numer. Anal. Mech. Geomech., 29(1), 73-101.   DOI   ScienceOn
6 Guo, P.J. and Su, X.B. (2007), "Shear strength, interparticle locking, and dilatancy of granular materials", Can. Geotech. J., 44(5), 579-591.   DOI   ScienceOn
7 Houlsby, G.T. (1991), How the dilatancy of soil affects their behavior, The written version of an invited lecture delivered at the tenth European conference on soil mechanics and foundation engineering, Florence, Italy.
8 Iwashita, K. and Oda, M. (1998), "Rolling resistance at contacts in simulation of shear band development by DEM", J. Eng. Mech., 124(3), 285-292.   DOI   ScienceOn
9 Li, X.K., Chu, X.H. and Feng, Y.T. (2005), "A discrete particle model and numerical modeling of the failure modes of granular materials", Eng. Computation., 22(8), 894-920.   DOI   ScienceOn
10 Li, X.K. and Tang, H.X. (2005), "A consistent return mapping algorithm for pressure-dependent elastoplastic Cosserat continua and modeling of strain localization", Comput. Struct., 83(1), 1-10.   DOI   ScienceOn
11 Manzari, M.T and Yonten, K. (2011), "Analysis of post-failure response of sands using a critical state micropolar plasticity model", Interact. Multiscale Mech., 4(3), 187-206.   DOI
12 Massoudi, M. and Mehrabadi, M.M. (2001), "A continuum model for granular materials: considering dilatancy and the Mohr-Coulomb criterion", Acta Mech., 152(1-4), 121-138.   DOI
13 Perkins, S.W. and Madson, C.R. (2000), "Bearing capacity of shallow foundations on sand: a relative density approach", J. Geotech. Geoenviron. Eng., 126(6), 521-530.   DOI   ScienceOn
14 Rowe, P.W. (1962), "The stress-dilatancy relation for static equilibrium of an assembly of particles in contact", Proc. of Royal. Soc. A, 269(1339), 500-527.   DOI
15 Ueng, T.S. and Chen, T.J. (2000), "Energy aspects of particle breakage in drained shear of sands", Geotechnique, 50(1), 65-72.   DOI   ScienceOn
16 Wan, R.G. and Guo, P.J. (1999), "A pressure and density dependent dilatancy model for granular materials", Soils Found., 39(6), 1-11.   DOI   ScienceOn
17 Zhang, J. and Salgado, R. (2010), "Stress-dilatancy relation for Mohr-Coulomb soils following a non-associated flow rule", Geotechnique, 60(3), 223-226.   DOI   ScienceOn