A packing generation scheme for the granular assemblies with 3D ellipsoidal particles

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 23, Issue 8, 1999, Pages 815-828

  Wang, Chung Yue ^a   Wang, Chi Fong ^a   Sheng, Jopan ^a  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

Algorithm; Contact; Ellipsoid; Granule; Packing

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; GRANULAR MATERIALS; MATERIALS HANDLING; PACKING;

CONTACT DETECTION ALGORITHMS; ELLIPSOIDAL PARTICLES;

PARTICLES (PARTICULATE MATTER);

ALGORITHM; COMPUTER PROGRAM; GRANULAR MEDIUM; PACKING;

EID: 0032886324     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1096-9853(199907)23:8<815::AID-NAG15>3.0.CO;2-6     Document Type: Article

References (20)

1. M. Oda, S. Nemat-Nasser and M. M. Mehrabadi, 'A Statistical Study of Fabric in a Random Assembly of Spherical Granules', J. Num. Anal. Meth. Geomech. 6, 77-94 (1982).
2. Q. Tai and M. H. Sadd, 'A discrete element study of the relationship of fabric to wave propagational behaviors in granular materials', J. Numer. Anal. Methods Geomech., 21, 295-311 (1997).
3. I. I. Kandaurov, Mechanics of Granular Media and Its Application in Civil Engineering, translated from Russian and edited by R. B. Zeidler, A. A. Balkema Publishers/Rotterdam/Brookfield, 1991.
4. R. J. Bathurst, and L. Rothenburg, 'Micromechanical aspects of isotropic granular assemblies with linear contact interactions', J. Appl. Mech., 55, 17-23 (1988).
5. M. Satake, 'A discrete-mechanical approach to granular materials', Int. J. Engng. Sci. 30, 1525-153 (1992).
6. O. Walton, 'The effective elastic moduli of a random packing of spheres', J. Mech. Phys. Solids, 35, 213-226 (1987).
7. C. S. Chang and L. Ma, 'Modeling of discrete granulates as micropolar continua, 'J. Engng. Mech., 116, 213-226 (1987).
8. O. D. L. Strack and P. A. Cundall, 'The distinct element method as a tool for research in granular material', Part II, Report to NSF, University of Minnesota, Minneapolis, Minnesota, 1978.
9. P. A. Cundall and O. D. L. Strack, 'A discrete numerical model for granular assemblies', Geotechnique, 29(1), 47-65 (1979).
10. T. T. Ng, 'Numerical simulation of granular soils under monotonie and cyclic loading: A particulate mechanics approach', Ph.D. Dissertation, Department of Civil Engineering, Rensselaer Polytechnic Institute, Troy, NY, U.S.A., 1989.
11. R. J. Bathurst and L. Rothenburg, 'Investigation of micromechanical features of idealized granular assemblies using DEM', Proc. 1st U.S. Conf. on Discrete Element Methods, Golden, Colorado, U.S.A., 1989.
12. J. M. Ting, B. T. Corkum, C. R. Kauffman and C. Greco, 'Discrete numerical model for soil mechanics', J. Geotech. Engng. ASCE, 3, 379-398 (1989).
13. T.-T. Ng and X. Lin, 'Numerical simulations of naturally deposited granular soil with ellipsoidal elements', Proc. 2nd Int. Conf. on Discrete Element Methods (DEM), IESL Publications, 1993, pp. 557-567.
14. C.-Y. Wang and V.-C. Liang, 'A packing generation scheme for the granular assemblies with planar elliptical particles', Int. J. Numer. Anal. Meth. Geomech., 21, 347-358 (1997).
15. L. Rothenburg and R. J. Bathurst, 'Numerical simulation of idealized granular assemblies with plane elliptical particles', Comput. Geotech. 11, 315-329 (1991).
16. L. Rothenburg and R. J. Bathurst, 'Micromechanical features of granular assemblies with planar elliptical particles', Geotechnique, 42, 79-95 (1992).
17. J. M. Ting, 'A robust algorithm for ellipse-based discrete element modelling of granular materials', Comput. Geotech., 13, 175-186 (1992).
18. M. Satake, (ed.), Mechanics of granular materials, Report of the International Society for Soil Mechanics and Foundation Engineering (ISSMFE) technical committee on mechanics of granular materials, XII ICSMEF, Rio De Janeiro (1989).
19. X. Lin, and T.-T. Ng, 'Contact detection algorithms for three-dimensional ellipsoids in discrete element modeling', Int. J. Numer. Anal. Methods Geomech. 19, 653-659 (1995).
20. X. Lin and T.-T. Ng, 'A three-dimensional discrete element model using arrays of ellipsoids', Geotechnique, 47(2), 319-329 (1997).