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Micromechanical Insights of Strain Rate Effect on Crushable Granular Materials

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Micro to MACRO Mathematical Modelling in Soil Mechanics

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Abstract

Granular materials exhibit significant strain rate dependent response depending upon the size, morphology, and mineralogy of grains as observed in several existing experimental analyses. However, most of such analyses only focused on the macroscopic behavior of the granular assembly. The objective of the present study is to explore the effects of different and sudden strain rate variation at the grain scale level and link it with the macroscopic response utilizing discrete element modelling (DEM). In addition, the effects of crushability of grains on the rate-dependent response and vice-versa are studied. The study simulates conventional drained triaxial compression to capture the rate-dependent behavior for both crushable and non-crushable granular materials. The simulation results indicate that particle crushing alters the coordination number and contact force distribution, and thus reduces the macroscopic deviatoric stress response. However, with increasing strain-rate, the possibility of crushing reduces and thus strain hardening is observed.

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References

  1. Casagrande, A., Shannon, W.L.: Strength of soils under dynamic loads. Proc. Am. Soc. Civ. Eng. 74, 591–608 (1948)

    Google Scholar 

  2. Abrantes, A.E., Yamamuro, J.E.: Experimental and data analysis techniques used for high strain rate tests on cohesionless soil. Geotech. Test. J. 25, 128–141 (2002)

    Article  Google Scholar 

  3. Yamamuro, J.A., Lade, P.V.: Effects of strain rate on instability of granular soils. Geotech. Test. J. 16, 304–313 (1993)

    Article  Google Scholar 

  4. Suescun-Florez, E., Iskander, M.: Effect of fast constant loading rates on the global behavior of sand in triaxial compression BT – effect of fast constant loading rates on the global behavior of sand in triaxial compression. Geotech. Test. J. 40, 52–71 (2017)

    Article  Google Scholar 

  5. Kongkitkul, W., Tatsuoka, F., Duttine, A., et al.: Modelling and simulation of rate-dependent stress-strain behaviour of granular materials in shear. Soils Found. 48, 175–194 (2008)

    Article  Google Scholar 

  6. Da Cruz, F., Emam, S., Prochnow, M., et al.: Rheophysics of dense granular materials: discrete simulation of plane shear flows. Phys. Rev. E. 72(2), 021309 (2005)

    Article  Google Scholar 

  7. di Prisco, C., Imposimato, S.: Time dependent mechanical behaviour of loose sands. Mech. Cohes. Frict. Mater. 1(1), 45–73 (1996)

    Article  Google Scholar 

  8. Santamarina, J.C., Shin, H.: Friction in granular media. In: Sulem, J., Hatzor, Y.H., Vardoulakis, I. (eds.) Meso-Scale Shear Physics in Earthquake and Landslide Mechanics, pp. 157–188. CRC, London (2009)

    Google Scholar 

  9. Di Benedetto, H., Tatsuoka, F., Ishihara, M.: Time-dependent shear deformation characteristics of sand and their constitutive modelling. Soils Found. 42, 1–22 (2002)

    Google Scholar 

  10. Augustesen, A., Liingaard, M., Lade, P.V., Asce, M.: Evaluation of time-dependent behavior of soils. Int. J. Geomech. 4, 137–156 (2004)

    Article  Google Scholar 

  11. Cundall, P.A., Strack, O.D.L.: A discrete numerical model for granular assemblies. Géotechnique. 29, 47–65 (1979)

    Article  Google Scholar 

  12. Zhang, Y.D., Buscarnera, G., Einav, I.: Grain size dependence of yielding in granular soils interpreted using fracture mechanics, breakage mechanics and Weibull statistics. Géotechnique. 66, 1–12 (2015)

    Article  Google Scholar 

Download references

Acknowledgments

The second author wishes to thank DORD IIT Kanpur (grant no. IITK/CE/2014156) and CSIR (grant no. 22(0732)/17/EMR-II) for the financial support of this research on crushable granular materials.

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Correspondence to Soukat Kumar Das .

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Das, S.K., Das, A. (2018). Micromechanical Insights of Strain Rate Effect on Crushable Granular Materials. In: Giovine, P., Mariano, P., Mortara, G. (eds) Micro to MACRO Mathematical Modelling in Soil Mechanics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-99474-1_10

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