Statistical homogenization for assemblies of elliptical grains: effect of the aspect ratio and particle orientation

作者: Fabrice Emeriault , Cécile Claquin

DOI: 10.1016/J.IJSOLSTR.2004.05.047

关键词: AnisotropyCalculusMechanicsMaterials science

摘要: Abstract A statistical homogenization approach is used to determine the global behavior of granular assemblies elliptical particles with a wide range eccentricities. first step define variables use in description arrangement and evolution their distribution particle aspect ratio sample creation procedure. This part analysed through numerical simulations using DEM code PFC 2D . Biaxial compression tests also provide elastic characteristics different assemblies. Then two proposed schemes can be applied (taking into account conclusions simulations) results compared results. They proved strongly dependant on distributions correlation (for anisotropic initial arrangements particularly).

参考文章(17)
F. Sidoroff, P. Dubujet, F. Emeriault, B. Cambou, Homogenization for granular materials European Journal of Mechanics A-solids. ,vol. 14, pp. 255- 276 ,(1995)
F. Emeriault, B. Cambou, Micromechanical modelling of anisotropic non-linear elasticity of granular medium International Journal of Solids and Structures. ,vol. 33, pp. 2591- 2607 ,(1996) , 10.1016/0020-7683(95)00170-0
Y.-W. Pan, J.-J. Dong, Micromechanics model for elastic stiffness of non‐spherical granular assembly International Journal for Numerical and Analytical Methods in Geomechanics. ,vol. 23, pp. 1075- 1100 ,(1999) , 10.1002/(SICI)1096-9853(199909)23:11<1075::AID-NAG24>3.0.CO;2-S
John M. Ting, Mahmood Khwaja, Larry R. Meachum, Jeffrey D. Rowell, An ellipse-based discrete element model for granular materials International Journal for Numerical and Analytical Methods in Geomechanics. ,vol. 17, pp. 603- 623 ,(1993) , 10.1002/NAG.1610170902
M. Aloufi, J. C. Santamarina, Low and High Strain Macrobehavior of Grain Masses—The Effect of Particle Eccentricity Transactions of the ASABE. ,vol. 38, pp. 877- 887 ,(1995) , 10.13031/2013.27904
F Emeriault, B Cambou, A Mahboubi, Homogenization for Granular Materials: non reversible behaviour Mechanics of Cohesive-frictional Materials. ,vol. 1, pp. 199- 218 ,(1996) , 10.1002/(SICI)1099-1484(199604)1:2<199::AID-CFM10>3.0.CO;2-Y
Leo Rothenburg, Richard J. Bathurst, Numerical simulation of idealized granular assemblies with plane elliptical particles Computers and Geotechnics. ,vol. 11, pp. 315- 329 ,(1991) , 10.1016/0266-352X(91)90015-8
Tang-Tat Ng, Fabric evolution of ellipsoidal arrays with different particle shapes Journal of Engineering Mechanics-asce. ,vol. 127, pp. 994- 999 ,(2001) , 10.1061/(ASCE)0733-9399(2001)127:10(994)