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304   Ch a p t e r  N i n e


                                                  Macro-Strain
                  No.        d x       d y       d z       d xy       d yz      d xz
                   1       0.00     –0.05      –0.05     –0.04      0.02      –0.04
                   2       0.70     –1.10      –0.80     –0.43      –0.08     –0.97
                   3       0.07     –0.08       0.00      0.10      0.11       0.30
                   4      –0.14      0.03       3.35      0.15      0.33      –0.42
                   5       0.17     –0.26      –0.04      0.10      0.05      –0.09
                   6       0.02      0.12      –0.21      0.05      0.09      –0.05
                   7       0.01      0.03      –0.09     –0.01      0.05      –0.04
                   8       0.20      0.07       0.02      0.00      0.14      –0.03
                   9      –0.04      0.07       0.45     –0.04      0.03      –0.16
                  10       2.32     –1.03      –0.14     –2.11      –1.19      2.58
              TABLE 9.6  Local macro-strains from experimental measurements (in 10 tetrahedrons).



                         3D
              9.4.1.7 PFC  and DEM Simulation
              The PFC  was used for simulating the above test in order to investigate the particle
                     3D
              shape effect on the micro-macro behavior of granular materials. It was used to conduct
              DEM simulation on irregular particles and on spherical particles, respectively. The ac-
              tual microstructure used in the confined compression test was incorporated into the
              simulation. Irregular particles were represented by clusters of balls. Each cluster be-
                                                                3D
              haves as a rigid particle with deformable boundaries in PFC  (Itasca, 2005). A burn al-
              gorithm (see Section 9.3) was applied to reduce the number of balls so that the calcula-
              tion efficiency could be greatly improved. The virtual (digital) specimen composed of
              173 particles in PFC  is illustrated in Figure 9.15a. The spherical particles were gener-
                              3D
              ated using the particle mass centers and volumes the same as those of irregular parti-
              cles. The virtual specimen using spherical particles is depicted in Figure 9.15b.
                 In the simulation, the particles were virtually stacked in a cylindrical container
              and a rigid load plate was placed on top of the aggregates. The load plate was made
              from hundreds of strongly bonded balls that would not break apart during the simu-


















                      a. Irregular Particle                   b. Spherical Particle

              FIGURE 9.15  Visualization of DEM simulation (irregular particles are represented by clusters
              of balls).
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