Reduced Gravity Effects on the Strength of Granular Matter: DEM Simulations versus Experiments
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 146, Issue 5
Abstract
Quantifying the effect of reduced gravity on the behavior of granular matter is essential to understanding the evolution of planetary morphology and will likely affect the design of future extraterrestrial habitats. Yet despite recent research, the effect of reduced gravity/confining pressure on strength remains undetermined, with scarce results ranging from no effect to opposing trends. In this study, we employ high-fidelity discrete element simulations (DEM) of passive failure experiments to measure the influence of gravity on the peak and steady-state friction angle, and the angle of repose of sand. The results are compared against recently reported physical experiments, lending the latter support based on micromechanical information, that is unattainable experimentally. We find that the friction angles experience a small increase with decreasing gravity, while the angle of repose remains almost constant.
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References
Bagi, K. 2006. “Analysis of microstructural strain tensors for granular assemblies.” Int. J. Solids Struct. 43 (10): 3166–3184. https://doi.org/10.1016/j.ijsolstr.2005.07.016.
Cavarretta, I., C. O’Sullivan, and M. Coop. 2009. “Applying 2D shape analysis techniques to granular materials with 3D particle geometries.” In Vol. 1145 of AIP Conf. Proc., 833–836. Melville, NY: AIP Publishing LLC.
Chen, H., Y. Liu, X. Zhao, Y. Xiao, and Y. Liu. 2015. “Numerical investigation on angle of repose and force network from granular pile in variable gravitational environments.” Powder Technol. 283 (Oct): 607–617. https://doi.org/10.1016/j.powtec.2015.05.017.
Christoffersen, J., M. Mehrabadi, and S. Nemat-Nasser. 1981. “A micromechanical description of granular material behavior.” J. Appl. Mech. 48 (2): 339–344. https://doi.org/10.1115/1.3157619.
Cundall, P., and O. Strack. 1979. “A discrete numerical model for granular assemblies.” Géotechnique 29 (1): 47–65. https://doi.org/10.1680/geot.1979.29.1.47.
Fukushima, S., and F. Tatsuoka. 1984. “Strength and deformation characteristics of saturated sand at extremely low pressures.” Soils Found. 24 (4): 30–48. https://doi.org/10.3208/sandf1972.24.4_30.
Guo, P., and X. Su. 2007. “Shear strength, interparticle locking, and dilatancy of granular materials.” Can. Geotech. J. 44 (5): 579–591. https://doi.org/10.1139/t07-010.
Hasan, A., and K. Alshibli. 2010. “Discrete element modeling of strength properties of Johnson Space Center (JSC-1A) lunar regolith simulant.” J. Aerosp. Eng. 23 (3): 157–165. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000020.
Hofmeister, P., J. Blum, and D. Heisselmann. 2009. “The flow of granular matter under reduced-gravity conditions.” In Vol. 1145 of AIP Conf. Proc., 71–74. Melville, NY: AIP Publishing LLC.
Jop, P., Y. Forterre, and O. Pouliquen. 2006. “A constitutive law for dense granular flows.” Nature 441 (7094): 727–730. https://doi.org/10.1038/nature04801.
Kawamoto, R., E. Ando, G. Viggiani, and J. Andrade. 2016. “Level set discrete element method for three-dimensional computations with triaxial case study.” J. Mech. Phys. Solids 91 (Jun): 1–13.
Klein, S., and B. White. 1990. “Dynamic shear of granular material under variable gravity conditions.” AIAA J. 28 (10): 1701–1702. https://doi.org/10.2514/3.10461.
Kleinhans, M. G., H. Markies, S. J. De Vet, and F. N. Postema. 2011. “Static and dynamic angles of repose in loose granular materials under reduced gravity.” J. Geophys. Res. Planets 116 (E11).
Marshall, J., R. Hurley, D. Arthur, I. Vlahinić, C. Senatore, K. Iagnemma, B. Trease, and J. Andrade. 2018. “Failures in sand in reduced gravity environments.” J. Mech. Phys. Solids 113 (Apr): 1–12.
Melosh, H. J. 2011. Planetary surface processes. Cambridge, UK: Cambridge University Press.
Nakashima, H., Y. Shioji, T. Kobayashi, S. Aoki, H. Shimizu, J. Miyasaka, and K. Ohdoi. 2011. “Determining the angle of repose of sand under low-gravity conditions using discrete element method.” J. Terramech. 48 (1): 17–26. https://doi.org/10.1016/j.jterra.2010.09.002.
Robert, C., and G. Casella. 2010. Monte Carlo statistical methods. Berlin: Springer.
Rorato, R., M. Arroyo, E. And, and A. Gens. 2019. “Sphericity measures of sand grains.” Eng. Geol. 254 (May): 43–53. https://doi.org/10.1016/j.enggeo.2019.04.006.
Savage, S. 1984. “The mechanics of rapid granular flows.” In Vol. 24 of Advances in applied mechanics, 289–366. New York: Elsevier.
Schofield, M., and C. Wroth. 1968. Critical state soil mechanics. London: McGraw-Hill.
Singh, A., V. Magnanimo, K. Saitoh, and S. Luding. 2015. “The role of gravity or pressure and contact stiffness in granular rheology.” New J. Phys. 17 (4): 043028. https://doi.org/10.1088/1367-2630/17/4/043028.
Sture, S., C. Nicholas, N. Baptiste, M. Lankton, K. Alshibli, B. Jeremic, R. Swanson, and M. Frank. 1998. “Mechanics of granular materials at low effective stresses.” J. Aerosp. Eng. 11 (3): 67–72. https://doi.org/10.1061/(ASCE)0893-1321(1998)11:3(67).
Terzaghi, K., and R. Peck. 1954. Soil mechanics in engineering practice. New York: Wiley.
Vlahinić, I., E. Andò, G. Viggiani, and J. Andrade. 2014. “Towards a more accurate characterization of granular media: Extracting quantitative descriptors from tomographic images.” Granular Matter 16 (1): 9–21. https://doi.org/10.1007/s10035-013-0460-6.
Wadell, H. 1932. “Volume, shape, and roundness of rock particles.” J. Geol. 40 (5): 443–451. https://doi.org/10.1086/623964.
Zou, M., S. Fan, R. Shi, Y. Yang, and J. Li. 2015. “Effect of gravity on the mechanical properties of lunar regolith tested using a low gravity simulation device.” J. Terramech. 60 (Aug): 11–22. https://doi.org/10.1016/j.jterra.2015.04.003.
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©2020 American Society of Civil Engineers.
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Received: Mar 8, 2019
Accepted: Oct 30, 2019
Published online: Mar 12, 2020
Published in print: May 1, 2020
Discussion open until: Aug 12, 2020
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