Particle shape effect on macro- and micro-behaviors of monodisperse ellipsoids

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 33, Issue 4, 2009, Pages 511-527

  Tang Tat, Ng ^a  

^a MSC01 1070   (United States)

Author keywords

Critical state; Fabric structure of granular materials; Numerical modeling and analysis; Shear strength

Indexed keywords

CRITICAL STATE; DISCRETE ELEMENT METHOD; FABRIC/STRUCTURE OF GRANULAR MATERIALS; INITIAL STATE; LARGE STRAINS; MACROSCOPIC BEHAVIORS; MACROSCOPIC PARAMETERS; MAXIMUM VALUES; MICRO-MECHANICAL; MONODISPERSE; NORMAL CONTACT FORCE; NUMERICAL MODELING AND ANALYSIS; PARTICLE ORIENTATION; PARTICLE SHAPE; PEAK SHEAR STRENGTH; PRINCIPAL STRESS; STRESS-STRAIN RELATIONSHIPS; TRIAXIAL COMPRESSION TESTS; VOLUMETRIC BEHAVIOR;

COMPRESSION TESTING; COMPUTER SIMULATION; CRITICAL CURRENT DENSITY (SUPERCONDUCTIVITY); GRANULAR MATERIALS; STRAIN; STRESS-STRAIN CURVES; VECTORS;

SHEAR STRENGTH;

COMPRESSION; CRITICAL STATE; DISCRETE ELEMENT METHOD; MICROMECHANICS; NUMERICAL MODEL; SHEAR STRENGTH; TRIAXIAL TEST;

EID: 66049117012     PISSN: 03639061     EISSN: 10969853     Source Type: Journal    
DOI: 10.1002/nag.732     Document Type: Article

References (26)

1. Satake M. A note on discrete mechanics of granular materials. Mechanics of Deformation and Flow of Particulate Materials. ASCE: New York, 1997; 1-10.
2. Wan RG, Guo PJ. Drained cyclic behavior of sand with fabric dependence. Journal of Engineering Mechanics (ASCE) 2001; 127(11):1106-1116.
3. Li XS, Dafalias YF. Constitutive modeling of inherently anisotropic and sand behavior. Journal of Geotechnical and Geoenvironmental Engineering (ASCE) 2002; 128(10):868-880.
4. Chang CS, Hicher PY. An elasto-plastic model for granular materials with microstructural consideration. International Journal of Solids and Structures 2005; 42:4258-4277.
5. Liao CL, Chang TP, Young D, Chang CS. Stress-strain relationship for granular materials bases on hypothesis of best fit. International Journal of Solids and Structures 1997; 344087-4100.
6. Radjai F, Jean M, Moreau J-J, Roux S. Force distributions in dense two-dimensional granular systems. Physical Review Letters 1996; 77(2):274-277.
7. Ng T-T. Numerical simulation of granular soils under monotonic and cyclic loading: a particulate mechanics approach. Ph.D. Dissertation, Rensselaer Polytechnic Institute, Troy, NY, 1989.
8. Ng T-T. Input parameters of discrete element method. Journal of Engineering Mechanics (ASCE) 2006; 132(7):723-730.
9. Ng T-T. Numerical simulations for penetration process of concrete target using the discrete element method. Advances in Numerical Simulation Techniques for Penetration and Perforation of Solids, AMD-Vol. 171, ASME, 1993; 17-24.
10. Mirghasemi AA, Rothenburg L, Matyas EL. Influence of particle shape on engineering properties of assemblies of two-dimensional polygon-shaped particles. Géotechnique 2002; 52(3):209-217.
11. Ng T-T. Fabric evolution of ellipsoidal arrays with different particle shapes. Journal of Engineering Mechanics (ASCE) 2001; 125(10):994-999.
12. Ng T-T. Macro- and micro-behavior of granular materials under different sample preparation methods and stress paths. International Journal of Solids and Structures 2004; 41(21):5871-5884.
13. Thornton C. Numerical simulations of deviatoric shear deformation of granular media. Géotechnique 2002; 50:43-53.
14. Ng T-T, Lin X. Numerical simulations of granular soils using elliptical particles. Proceedings of the 2nd U.S. Conference on Discrete Element Methods, Massachusetts Institute of Technology, Boston, 17-19 March 1993; 11.
15. Rothenburg L, Bathurst RJ. Micromechanical features of granular assemblies with planar elliptical particles. Géotechnique 1992; 42(1):79-95.
16. Ting JM, Meachum L, Rowell JD. Effect of particle shape on the strength and deformation mechanisms of ellipse-shaped granular assemblages. Engineering Computations 1995; 12(2):99-108.
17. Donev A, Connelly R, Stillinger FH, Torquato S. Underconstrained jammed packing of nonspherical hard particles: Ellipses and ellipsoids. Physical Review E 2007; 75:32.
18. Ng T-T. Hydrostatic boundaries in discrete element methods. Discrete Element Methods: Numerical Modeling of Discontinua. Geotechnical Special Publication, vol. 117. ASCE: New York, 2002; 47-51.
19. Lin X, Ng T-T. A three dimensional element model using arrays of ellipsoids. Géotechnique 1997; 47(2):319-329.
20. Simmons G, Brace WF. Comparison of static and dynamic measurements of compressibility of rocks. Journal of Geophysical Research 1965; 70:5649-5656.
21. Lambe TW, Whitman RV. Soil Mechanics. Wiley: New York, 1969.
22. Santamarina JC, Klein KA, Fam MA. Soils and Waves. Wiley: West Sussex, England, 2001.
23. Ng T-T. Triaxial simulations using DEM with hydrostatic boundaries. Journal of Engineering Mechanics (ASCE): 2004; 130(10):1188-1194.
24. Watson GS. The statistics of orientation data. Journal of Geology 1996; 74:786-797.
25. Woodcock NH. Specification of fabric shapes using an eigenvalue method. Geological Society of America Bulletin 1977; 88:1231-1236.
26. Christofferson J, Mehrabadi MM, Nemat-Nassar S. A micromechanical description on granular material behavior. Journal of Applied Mechanics (ASME) 1981; 48:339-344.