Discrete Element Simulations of Cyclic Biaxial Shear of a Granular Material with Oval Particles
Publication: International Journal of Geomechanics
Volume 14, Issue 3
Abstract
Discrete element method (DEM) simulations are used for measuring the macroscale and microscale changes in stress and fabric for the cyclic loading of a two-dimensional granular assembly. The stress–strain–dilatancy tendencies are similar to those of sands. After repeated loading cycles, the fabric follows a steady-state circuit of evolution within each cycle, but reversals in the loading direction are always accompanied by abrupt changes in the fabric. A consistent and strong inverse relationship is found, however, between the average coordination number and an effective void ratio, defined by excluding particles that do not participate in supporting the applied stress. A strong and consistent correlation is also found between the deviator stress ratio and a trong fabric ratio throughout the cyclic loading.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors thank M. M. Sazzad, Lecturer, Rajshahi University of Engineering and Technology (a former graduate student, Saitama University), for his contribution to some of the results in this paper.
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.
Chen, Y.-C., and Ishibashi, I. (1990). “Dynamic shear modulus and evolution of fabric of granular materials.” Soils Found., 30(3), 1–10.
Cundall, P. A. (1971). “A computer model for simulating progressive, large scale movements in blocky rock systems.” Proc., Symp. of Int. Soc. Rock Mech. Rock Fracture, International Society for Rock Mechanics, Lisbon, Portugal, 129–136.
Cundall, P. A., and Strack, O. D. L. (1979). “A discrete numerical model for granular assemblies.” Geotechnique, 29(1), 47–65.
Cundall, P. A., and Strack, O. D. L. (1983). “Modeling of microscopic mechanisms in granular.” Proc., U.S./Japan Seminar on New Models and Constitutive Relations in the Material Mechanics of Granular Materials, Elsevier, Amsterdam, Netherlands, 137–149.
de Josselin de Jong, G., and Verruijt, A. (1969). “Etude photo-élastique d’un empilement de disques.” Cah. Gr. Franc. Rhéol., 2(3), 73–86 (in French).
Ishihara, K., Tatsuoka, F., and Yasuda, S. (1975). “Undrained deformation and liquefaction of sand under cyclic stresses.” Soils Found., 15(1), 29–44.
Jensen, R. P., Plesha, M. E., Edil, T. B., Bosscher, P. J., and Kahla, N. B. (2001). “DEM simulation of particle damage in granular media: Structure interfaces.” Int. J. Geomech., 21–39.
Kuhn, M. R. (1999). “Structured deformation in granular materials.” Mech. Mater., 31(6), 407–429.
Kuhn, M. R. (2002). Oval and OvalPlot: Programs for analyzing dense particle assemblies with the discrete element method. 〈http://faculty.up.edu/kuhn/oval/oval.html〉 (Oct. 14, 2009).
Kuhn, M. R. (2003). “Smooth convex three-dimensional particle for the discrete-element method.” J. Eng. Mech., 539–547.
Ng, T.-T. (2006). “Input parameters of discrete element methods.” J. Eng. Mech., 723–729.
Nouguier-Lehon, C., Cambou, B., and Vincens, E. (2003). “Influence of particle shape and angularity on the behabiour of granular materials: A numerical analysis.” Int. J. Numer. Anal. Methods Geomech., 27(14), 1207–1226.
O’Sullivan, C. (2011). “Particle-based discrete element modeling: Geomechanics perspective.” Int. J. Geomech., 449–464.
O’Sullivan, C., Cui, L., and O’Neill, S. C. (2008). “Discrete element analysis of the response of granular materials during cyclic loading.” Soils Found., 48(4), 511–530.
Potapov, A. V., and Campbell, C. S. (1998). “A fast model for the simulation of non-round particles.” Granul. Matter, 1(1), 9–14.
Pradhan, T. B. S., Tatsuoka, F., and Sato, Y. (1989). “Experimental stress-dilatancy relations of sand subjected to cyclic loading.” Soils Found., 29(1), 45–64.
Radjai, F., Jean, M., Moreau, J.-J., and Roux, S. (1996). “Force distributions in dense two-dimensional granular systems.” Phys. Rev. Lett., 77(2), 274–277.
Rothenburg, L., and Bathurst, R. (1989). “Analytical study of induced anisotropy in idealized granular materials.” Geotechnique, 39(4), 601–614.
Rothenburg, L., and Kruyt, N. P. (2004). “Critical state and evolution of coordination number in simulated granular materials.” Int. J. Solids Struct., 41(21), 5763–5774.
Satake, M. (1982). “Fabric tensor in granular materials.” Proc., IUTAM Symp. on Deformation and Failure of Granular Materials, Balkema, Rotterdam, Netherlands, 63–68.
Sazzad, M. M., Suzuki, K., and Modaressi-Farahmand-Razavi, A. (2012). “Macro-micro responses of granular materials under different values using DEM.” Int. J. Geomech., 220–228.
Sitharam, T. G. (1999). “Micromechanical modelling of granular media: The power of discrete element modelling.” Distinct element modelling in geomechanics, Oxford/IBH Publishing, New Delhi, India, 47–88.
Sitharam, T. G. (2003). “Discrete element modelling of cyclic behabiour of granular materials.” Geotech. Geol. Eng., 21(4), 297–329.
Thornton, C. (2000). “Numerical simulations of deviatoric shear deformation of granular media.” Geotechnique, 50(1), 43–53.
Yan, W. M., and Dong, J. (2011). “Effect of particle grading on the response of an idealized granular assemblage.” Int. J. Geomech., 276–285.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 14 • Issue 3 • June 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: May 12, 2012
Accepted: Jun 6, 2013
Published online: Jun 8, 2013
Published in print: Jun 1, 2014
Discussion open until: Aug 18, 2014
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.