Abstract
This paper presents a study of the effect of sample size on packing density and the mechanical behavior of a binary granular mixture of ellipsoids subjected to rigid and periodic boundaries. The binary mixture contains two similar ellipsoids of different sizes. Since they are similar, the particle shape of these binary mixtures can be denoted by elongation, the ratio between the major length and minor length of an ellipsoid. Elongation of 1.5 is chosen in this study. The large particle is 5 times the size of the small particle. Samples of various weight fraction of small particles (fine content) have been created. The generated samples are very dense that are close to the densest packing. The void ratio (packing density) of the binary mixtures is related to fine content as expected. The sample size effect on void ratio was found in rigid boundary but not in periodic boundary as expected. Triaxial simulations were carried out to determine the peak shear strength and the properties at critical state. Sample size affects more on peak shear strength than critical state void ratio. Although small sample size can be used with periodic boundary to avoid boundary effect, the observed unusual peak strength behavior requires further investigation.
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References
Furnas, C.C.: Grading aggregates: 1. Mathematical relations for beds of broken solids of maximum density. Ind. Eng. Chem. 23, 1052–1058 (1931)
Lin, X., Ng, T.-T.: A three dimensional discrete element model using arrays of ellipsoids. Geotechnique 47(2), 319–329 (1997)
McGeary, R.K.: Mechanical packing of spherical particles. J. Am. Ceram. Soc. 44(10), 513–522 (1961)
Ng, T.-T.: Hydrostatic boundaries in discrete element methods, discrete element methods, numerical modeling of discontinua, geotech. Special Publication No. 117, pp. 47–51. ASCE (2002)
Ng, T.-T.: Input parameters of discrete element method. J Eng. Mech. ASCE 132(7), 723–730 (2006)
Ng, T.-T., Zhou, W., Ma, G., Chang, X.L.: Damping and particle mass in DEM simulations under gravity. J Eng. Mech. ASCE 141(6), 04014167 (2015). doi:10.1061/(ASCE)EM.1943-7889.0000889
Westmann, A.E.R.: The packing of particles: empirical equation for intermediate diameter ratios. J. Am. Ceram. Soc. 19(1–12), 127–129 (1936)
Yin, Z.Y., Zho, J., Hicher, P.Y.: A micromechanics-based model for sand-silt mixtures. Int. J. Solids Struct. 51(6), 1350–1363 (2014)
Yu, A.B., Standish, N.: An analytical-parametric theory of the random packing of particles. Powder Technol. 55(3), 171–186 (1988)
Acknowledgments
This work was partially supported by the National Natural Science Foundation of China (No. 51322905 and 515791931) and the Hubei Chutian Scholar Program.
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Ng, TT., Zhou, W. (2017). Sample Size Effect on DEM Simulations of Binary Mixture. In: Li, X., Feng, Y., Mustoe, G. (eds) Proceedings of the 7th International Conference on Discrete Element Methods. DEM 2016. Springer Proceedings in Physics, vol 188. Springer, Singapore. https://doi.org/10.1007/978-981-10-1926-5_9
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DOI: https://doi.org/10.1007/978-981-10-1926-5_9
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