References
- Allersma , H.G.B. 2005 . “ Optical analysis of stress and strain in shear zones ” . In International conference on powder and grains 2005 187 – 191 . Stuttgart
- Bernal , J.D. and Mason , J. 1959 . Coordination of randomly packed spheres . Nature , 188 : 910 – 911 .
- Cundall , P.A. and Hart , R.D. 1992 . Numerical modeling of discontinua . Engineering Computations , 9 : 101 – 113 .
- Cundall , P.A. and Strack , O.D.L. 1979 . A discrete numerical model for granular assemblies . Geotechnique , 29 ( 1 ) : 47 – 65 .
- Cundall , P.A. , Drescher , A. and Strack , O.D.L. 1982 . “ Numerical experiments on granular assemblies; measurements and observations ” . In IUTAM conference on deformation and failure of granular materials , Edited by: Vermeer , P.A. and Luger , H.J. 355 – 370 . Leiden : A.A. Balkema .
- Fu, Y., 2005. DEM simulation and experimental validation of micro–macro behaviors of granular materials using X-ray tomography imaging. Thesis (PhD). Louisiana State University
- Fu , Y. , Wang , L. and Tumay , M.T. 2008 . Experimental quantification and DEM simulation of irregular particle kinematics and local strains . Journal of Mechanics and Materials , 134 ( 2 ) : 143 – 154 .
- Ghaboussi , J. 1990 . Three-dimensional discrete element method for granular materials . International Journal for Numerical and Analytical Methods in Geomechanics , 14 ( 7 ) : 451 – 472 .
- Golchert , D. 2004 . Effect of granule morphology on breakage behaviors during compression . Powder Technology , 143-144 : 84 – 96 .
- Itasca . 1999 . PFC3D manual , Itasca Consulting Group, Inc. .
- Iwashida , K. and Oda , M. 1998 . Rotational resistance at contacts in the simulation of shear band development by DEM . Journal of Engineering Mechanics , 124 ( 3 ) : 285 – 292 .
- Lin , X. and Ng , T. 1997 . A three-dimensional discrete element model using arrays of ellipsoids . Geotechnique , 47 : 219 – 329 .
- Mirghasemi , A.A. , Rothenburg , L. and Matyas , E.L. 2002 . Influence of particle shape on engineering properties of assemblies of two-dimensional polygon-shaped particles . Geotechnique , 52 ( 3 ) : 209 – 217 .
- Ni , Q. 2000 . Effect of particle properties on soil behavior 3-D numerical modeling of shear box tests . Numerical Methods in Geotechnical Engineering , 96 : 58 – 70 .
- Oda , M. 1977 . Co-ordination number and its relation to shear strength of granular material . Soils and foundations , 17 ( 2 ) : 29 – 42 .
- Oda , M. 1997 . Micro-deformation model for dilatancy of granular materials . ASME-ASCE-SES Joint Summer Meeting, Mechanics of Deformation and Flow of Particulate Materials , : 24 – 37 .
- Oda , M. and Kazama , H. 1998 . Micro-structure of shear band and its relation to the mechanisms of dilatancy and failure of dense granular soils . Geotechnique , 44 ( 1 ) : 1 – 19 .
- Rothenburg , L. and Bathurst , R.J. 1989 . Analytical study of induced anisotropy in idealized granular materials . Geotechnique , 39 ( 4 ) : 601 – 614 .
- Thornton , C. 1992 . Applications of DEM to process engineering problems . Engineering Computations , 9 ( 2 ) : 289 – 297 .
- Wang , L.B. , Frost , J.D. and Lai , J.S. 1999 . Non-invasive strain measurement of permanent deformation resulted from rutting . Journal of the Transportation Research Board , 1687 : 85 – 94 .
- Yoshida , T. 1994 . “ Shear banding in sands observed in plane strain compression ” . In Symposium on localization and bifurcation theory for soils and rocks , Edited by: Chambon , R. , Desrues , J. and Vardoulakis , I. 165 – 179 . Leiden : Balkema .