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Extra resources for Actes du Congrès international des mathématiciens: 1 10 Septembre 1970 NICE France
When the value of Cf /C is smaller (very weak bedding planes), the anisotropy of UCS is stronger. But for all the values of Cf /C considered, the minimum of UCS is found for α = 30◦. Consider now the influence of frictional angle. 8 10 0 0 15 30 45 60 75 90 Orientation ( ) interfaces and bedding planes. 3, the variation of UCS with loading orientation is presented. Again, it is clear that the anisotropy of UCS depends on the frictional coefficient of bedding planes. The anisotropy of UCS is more significant with smooth bedding planes than for rough ones.
The top and bottom boundaries are confined by rigid platens and by the vertical normal stress σy. The left and right lateral walls are confined by semi-rigid walls and by the minor principal stress σx. The sample is first loaded isotropically during consolidation, then sheared by rotating the lateral walls. Shearing is performed under constant angular velocity and constant vertical and horizontal normal stresses. The constant normal stresses applied to the top and lateral boundaries are applied by a numerical servo-control.
It is known in the literature that a DEM model with more than 5,000 particles provides a representative element volume for the modeling of the stress-strain response of granular materials. In this study, the number of randomly generated particles ranged from 6,556 to 16,190. Circular particles are used but, as discussed above, rolling resistance is employed to partly account for the effects of non-circular and irregular particle shapes (Mohammed and Gutierrez 2010). The rolling resistance parameter α is affected by the particle shape, normal stiffness and normal force at a point of contact and typically ranges from 0 to 1 (Mohammed and Gutierrez 2010).