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310   Ch a p t e r  N i n e


                                         DEM-Irregular  % Relative          % Relative
              Results          Experiment   Particle  Difference  DEM-Sphere  Difference
              Vertical dilation
              (mm)                5.00         4.50    10.00%       –3.70    174.00%
              Change of porosity  0.02         0.02    10.44%       –0.02    175.99%
              Peak shear force   63.47        67.63     6.55%       41.85     34.06%
              Residue shear
              force              21.60        25.31    17.18%       32.77     51.71%
              Peak friction angle  40.15      40.51     0.90%       39.96      0.48%
              Residue friction
              angle              34.26        32.55     5.00%       30.84      9.99%
              TABLE 9.10  Global macro-properties of experimental measurement and simulations.


              9.4.2.4  Macro-Behavior: Simulation Results and Experimental Measurements
              The simulations predicted both macro-properties and micro-properties of the assem-
              blies. The global macro-properties discussed in this study were related to the features of
              the entire specimen such as the shear strength, global deformation, and bulk friction
              angle. The local macro-properties included the characteristics monitored in the local
              volumes, which were either tetrahedron formed by every four adjacent particles or the
              measuring layers in the specimen. The micro-properties included the kinematics and
              contacts of individual particles. The comparisons of global macro-properties between
              the experimental measurements and simulation results are presented in Table 9.10. The
              comparisons of other properties are referred to in Fu et al. (2010).

              9.4.2.5  Micro Behavior: Simulation Results and Experimental Measurements
              Particle Kinematics
              Figures 9.20a, b, and c illustrate the experimentally measured, simulated irregular, and
              simulated spherical particle translational movements, respectively. In the figure show-
              ing the experimental results, particles in the lower box moved mostly along the hori-
              zontal direction (the direction along which two boxes had relative movement), except













                                  Z
                                 X
                              Y
               a) Particle movements   b) Particle movements based  c) Particle movements
               based on experimental   on the simulation by the   based on the simulation by
                  measurements        clustering DEM model (on     the conventional DEM
                                          irregular particles)      model (on spheres)

              FIGURE 9.20  Particle translational movement.
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