Mechanical Behavior of Granular Materials under Continuously Varying Values Using DEM
Publication: International Journal of Geomechanics
Volume 16, Issue 1
Abstract
The influence of the intermediate stress ratio on the mechanical behavior of granular materials under generalized stress conditions is not well understood, particularly in regard to relationships between macroscale behavior and microscale response. The objective of this paper is to study the influence of the intermediate stress ratio, specified by , on the mechanical behavior of granular materials under generalized stress conditions, using the discrete element method (DEM). Selected values were used to illustrate the influence of the intermediate principal stress on the major and minor principal stresses, and , respectively. More-generalized stress conditions were identified by continuously varying values. Specifically, 11 stress paths under truly triaxial conditions, following the stress-controlled method for a three-dimensional sphere, were simulated with continuously varying values as well as constant values. Differences in the stress–strain relationship results were studied, including the relationship among principal normal strains and principal deviatoric strains as well as the evolution of stress-increment and strain-increment vectors and the behavior of strain-increment vectors on the plane. The DEM results were found to compare well with the experimental data qualitatively. The macro behavior and micro response data were described by the relationship between the stress ratio and the fabric structures representing contacts of all particles as well as strong contact regardless of varying value.
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Acknowledgments
This research was supported by a Monbukagakusho scholarship (MEXT) awarded to the first author for a doctoral study at Saitama University, Saitama, Japan, from 2012 through 2015. Additionally, the DEM code used in this research is free source code that was originally developed by Professor Matthew R. Kuhn of the University of Portland, Oregon. The authors are grateful to Professor Kuhn for making this source code available. Finally, the authors are thankful to Dr. Md. M. Sazzad from Rajshahi University, Bangladesh, for his technical assistance and encouragement during the course of this study.
References
Antony, S. J., Momoh, R. O., and Kuhn, M. R. (2004). “Micromechanical modelling of oval particulates subjected to bi-axial compression.” Comput. Mater. Sci., 29(4), 494–498.
Barreto, D., and O’Sullivan, C. (2012). “The influence of inter-particle friction and the intermediate stress ratio on soil response under generalised stress conditions.” Granul. Matter, 14(4), 505–521.
Cundall, P. A., and Strack, O. D. L. (1979). “A discrete numerical model for granular assemblies.” Géotechnique, 29(1), 47–65.
Green, G. E., and Bishop, A. W. (1969). “A note on the drained strength of sand under generalized strain conditions.” Géotechnique, 19(1), 144–149.
Habib, P. (1953). “Influence de la variation de la contrainte principale moy enne sur la resistance au cisaillement des sols [Influence of the variation of the average principal stress upon the shearing strength of soils].” Proc., 3rd Int. Conf. on Soil Mech. and Found. Eng., 1, ICOSOMEF, Zurich, Switzerland, 131–136 (in French).
Ko, H.-Y., and Scott, R. F. (1968). “Deformation of sand at failure.” J. Soil Mech. Found. Div., 94(4), 883–898.
Kuhn, M. R. (2006). “OVAL and OVALPLOT: Programs for analyzing dense particle assemblies with the discrete element method.” 〈http://faculty.up.edu/kuhn/oval/doc/oval_0618.pdf〉.
Kumruzzaman, M., and Yin, J.-H. (2012). “Influence of the intermediate principal stress on the stress-strain-strength behaviour of a completely decomposed granite soil”. Géotechnique, 62(3), 275–280.
Lade, P. V. (1977). “Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces.” Int. J. Solids Struct., 13(11), 1019–1035.
Lade, P. V. (2006). “Assessment of test data for selection of 3-D failure criterion for sand.” Int. J. Numer. Anal. Methods Geomech., 30(4), 307–333.
Lade, P. V., and Duncan, J. M. (1973). “Cubical triaxial tests on cohesionless soil.” J. Soil Mech. Found. Div., 99(10), 793–812.
Lade, P. V., and Duncan, J. M. (1975). “Elastoplastic stress-strain theory for cohesionless soil.” J. Geotech. Engrg. Div., 101(10), 1037–1053.
Matsuoka, H., and Nakai, T. (1974). “Stress-deformation and strength characteristics of soil under three different principal stresses.” Proc. JSCE, 232, 59–70.
Matsuoka, H., and Nakai, T. (1978). “A generalized frictional law of soil shear deformation.” Proc., U.S.-Japan Seminar on Continuum-Mechanical and Statistical Approaches in Mechanics of Granular Materials, Gakujutsu Bunken Fukyu-kai, Tokyo, 138–154.
Matsuoka, H., and Sun, D. (1995). “Extension of spatially mobilized plane (SMP) to frictional and cohesive materials and its application to cemented sands.” Soils Found., 35(4), 63–72.
Nakai, T., Korenaka, Y., Hinokio, M., and Nagai, H. (2003). “Shear behavior of sand under cyclic loading in general stress systems.” Deformation Characteristics of Geomaterials/Comportement Des Sols Et Des Roches Tendres, H. Di Benedetto, H. Geoffroy, T. Doanh, and C. Sauzéat, eds., Taylor & Francis, Lyon, France 1087–1094.
Ng, T.-T. (2004a). “Macro- and micro-behaviors of granular materials under different sample preparation methods and stress paths.” Int. J. Solids Struct., 41(21), 5871–5884.
Ng, T.-T. (2004b). “Shear strength of assemblies of ellipsoidal particles.” Géotechnique, 54(10), 659–669.
Ng, T.-T. (2005). “Behavior of gravity deposited granular material under different stress paths.” Can. Geotech. J., 42(6), 1644–1655.
Ng, T.-T. (2006). “Input parameters of discrete element methods.” J. Eng. Mech., 723–729.
Oda, M., Nemat-Nasser, S., and Konishi, J. (1985). “Stress-induced anisotropy in granular masses.” Soils Found., 25(3), 85–97.
Ogawa, S., Mitsui, S., and Takemure, O. (1974). “Influence of intermediate principal stress on mechanical properties of a sand.” Proc., 29th Annual Meeting of Japan Society of Civil Engineering, 3, JSCE, Tokyo, 49–50.
Phusing, D., and Suzuki, K. (2015). “Cyclic behaviors of granular materials under generalized stress condition using DEM.” J. Eng. Mech., 04015034.
Rodriguez, N., and Lade, P. (2013). “True triaxial tests on cross-anisotropic deposits of fine nevada sand.” Int. J. Geomech., 779–793.
Satake, M. (1975). “Consideration of yield criteria from the concept of metric space.” Technol. Rep. Tohoku Univ., Faculty of Engineering, Sendai, Japan, 40(2), 521–530.
Satake, M. (1982). “Fabric tensor in granular materials.” Proc., IUTAM Symp. on Deformation and Failure of Granular Mater., P. A. Vermeer and H. J. Luger, eds., Balkema, Delft, The Netherlands, 63–68.
Sazzad, M., Suzuki, K., and Modaressi-Farahmand-Razavi, A. (2011). “Macro-micro responses of granular materials under different b values using DEM.” Int. J. Geomech., 220–228.
Sun, D., Huang, W., and Yao, Y. (2008). “An experience study of failure and softening in sand under three-dimensional stress condition.” Granul. Matter, 10(3), 187–195.
Suzuki, K., and Kuhn, M. (2013). “Uniqueness of discrete element simulations in monotonic biaxial shear tests.” Int. J. Geomech., 06014010.
Suzuki, K., and Yanagisawa, E. (2006). “Principal deviatoric strain increment rations for sand having inherent transverse isotropy.” Int. J. Geomech., 356–366.
Thornton, C. (2000). “Numerical simulations of deviatoric shear deformation of granular media.” Geotechnique, 50(1), 43–53.
Yamada, Y., and Ishihara, K. (1979). “Anisotropic deformation characteristics of sand under three dimensional stress conditions.” Soils Found., 19(2), 79–94.
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Published In
International Journal of Geomechanics
Volume 16 • Issue 1 • February 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: May 29, 2014
Accepted: Feb 19, 2015
Published online: May 16, 2015
Discussion open until: Oct 16, 2015
Published in print: Feb 1, 2016
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