Abstract
We study by means of molecular dynamics simulations of periodic shear cells, the influence of particle shape on the global mechanical behavior of dense granular media. At large shear deformation samples with elongated particles, independent of their initial orientation, reach the same stationary value for both shear force and void ratio. At the micro-mechanical level the stress, the fabric and the inertia tensors of the particles are used to study the evolution of the media. In the case of isotropic particles the direction of the principal axis of the fabric tensor is aligned with the one of the principal stress, while for elongated particles the fabric orientation is strongly dependent on the orientation of the particles. The shear band width is shown to depend on the particle shape due to the tendency of elongated particles to preferential orientations and less rotation.
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References
Casagrande A. and Carillo N. (1944). Shear failure of anisotropic materials. Proc. Boston Soc. Civil Engineers 31: 74–78
Oda M. (1972). Initial fabrics and their relations to mechanical properties of granular materials. Soils Found. 12(1): 17–36
Oda M., Nemat-Nasser S. and Konishi J. (1985). Stress-induced anisotropy in granular masses. Soils Found 25(3): 85–97
Oda, M., Nakayama, H.: Introduction of inherent anisotropy of soils in the yield function. In: Satake, M., Jenkins, J.T. (eds.) Micromechanics of Granular Materials, pp. 81–90. Elsevier, (1988)
Li X.S. and Dafalias Y.F. (2002). Constitutive modeling of inherently anisotropic sand behavior. J. Geotech. Geoenviron. Eng. 128(10): 868–880
Bowman E.T., Soga K. and Drummond W. (2001). Particle shape characterization using fourier descriptor analysis. Géotechnique 51(6): 545–554
Matsushima, T., Saomoto, H.: Discrete element modeling for irregularly-shaped sand grains. In: Mestat (ed.) In: Proceedings of the NUMGE 2002: Numerical Methods in Geotechnical Engineering, pp. 239–246 (2002)
Bowman, E.T., Soga, K.: The influence of particle shape on the stress–strain and creep response of fine silica sand. In: García-Rojo, R., Herrmann, H.J., McNamara, S. (eds.) Powders and Grains 2005, pp. 1325–1328. Balkema (2005)
Shodja H.M. and Nezami E.G. (2003). A micromechanical study of rolling and sliding contacts in assemblies of oval granules. Int. J. Numer. Anal. Methods Geomech. 27: 403–424
Nouguier-Lehon, C., Frossard, E.: Influence of particle shape on rotations and rolling movements in granular media. In: García-Rojo, R., Herrmann, H.J., McNamara, S. (eds.) Powders and Grains 2005, pp. 1339–1343. Balkema (2005)
Nouguier-Lehon C., Cambou B. and Vincens E. (2003). Influence of particle shape and angularity on the behavior of granular materials: a numerical analysis. Int. J. Numer. Anal. Methods. Geomech. 27: 1207–1226
Peña, A.A., Lizcano, A., Alonso-Marroquín, F., Herrmann, H.J.: Investigation of the asymptotic states of granular materials using a discrete model of anisotropic particles. In: García-Rojo, R., Herrmann, H.J ., McNamara, S. (eds.) Powders and Grains 2005, pp. 697–700. Balkema (2005)
Ng T.T. (2001). Fabric evolution of ellipsoidal arrays with different particle shapes. ASCE J. Eng. Mech. 127: 994–99
Ng T.T. (2004). Behavior of ellipsoids of two sizes. J. Geotech. Geoenviron. Eng. ASCE 130(10): 1077–1083
Villarruel F.X., Lauderdale B.E., Mueth D.M. and Jaeger H.M. (2000). Compaction of rods: relaxation and ordering in vibrated, anistopic granular material. Phys. Rev. E 61: 6914
Lumay G. and Vandewalle N. (2004). Compaction of anisotropic granular materials. Phys. Rev. E 70: 051314
Ribière P., Richard P., Bideau D. and Delannay R. (2005). Experimental compaction of anisotropic granular media. Eur. Phys. J. E 16: 415–420
Ehrentraut H. and Chrzanowska A. (2003). Induced anisotropy in rapid flows of nonspherical granular materials. In: Hutter, K. and Kirchner, N.P. (eds) Dynamic Response of Granular and Porous Materials under Large and Catastrophic Deformations., pp 343–364. Springer, Berlin
Majmudar T.S. and Behringer R.P. (2005). Contact force measurements and stress-induced anisotropy in granular materials. Nature 435(23): 1079–1082
Lätzel M., Luding S. and Herrmann H.J. (2000). Macroscopic material properties from quasi-static, microscopic simulations of a two-dimensional shear-cell. Granular Matter 2(3): 123–135
Tillemans H.-J. and Herrmann H.J. (1995). Simulating deformations of granular solids under shear. Physica A 217: 261–288
Kun F. and Herrmann H.J. (1996). A study of fragmentation processes using a discrete element method. Comput. Methods Appl. Mech. Eng. 138: 3–18
Kun F. and Herrmann H.J. (1999). Transition from damage to fragmentation in collision of solids. Phys. Rev. E 59(3): 2623–2632
Alonso-Marroquin F. and Herrmann H.J. (2002). Calculation of the incremental stress-strain relation of a polygonal packing. Phys. Rev. E 66: 021301
Veje C.T., Howell D.W. and Behringer R.P. (1999). Kinematics of a 2D granular Couette experiment at the transition to shearing. Phys. Rev. E 59: 739
Howell D., Behringer R.P. and Veje C. (1999). Stress fluctuations in a 2d granular Couette experiment: a continuous transition. Phys. Rev. Lett. 82: 5241
Moukarzel C. and Herrmann H.J. (1992). A vectorizable random lattice. J. Stat. Phys. 68: 911–923
Rothenburg, L., Selvadurai, A.P.S.: A micromechanical definition of the cauchy stress tensor for particulate media. In: Selvadurai, A.P.S. (ed.) Mechanics of Structured Media, pp. 469–486. Elsevier (1981)
Thornton, C., Zhang, L.: A dem comparison of different shear testing devices. In: Kishino (ed.) Powders and Grains 2001, pp. 183–190. Balkema (2001)
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Peña, A.A., García-Rojo, R. & Herrmann, H.J. Influence of particle shape on sheared dense granular media. Granular Matter 9, 279–291 (2007). https://doi.org/10.1007/s10035-007-0038-2
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DOI: https://doi.org/10.1007/s10035-007-0038-2