Page 212 - Fundamentals of Computational Geoscience Numerical Methods and Algorithms
P. 212

8.4  Test and Application Examples of the Particle Simulation Method  203

              1.00E+08
                               LR = 1.0m/s
              8.00E+07         LR = 10m/s
             Deviatoric Stress (Pa)  6.00E+07




              4.00E+07


              2.00E+07


              0.00E+00
                    0.00  0.02  0.04  0.06  0.08  0.10  0.12  0.14  0.16  0.18  0.20
                                             Axial Strain
                                               2
                                         (A)  1× m sample
               1.00E+08

                               LR = 1.0m/s
               8.00E+07        LR = 10m/s
              Deviatoric Stress (Pa)  6.00E+07




               4.00E+07


               2.00E+07


               0.00E+00
                    0.00  0.02  0.04  0.06  0.08  0.10  0.12  0.14  0.16  0.18  0.20
                                             Axial Strain
                                              2
                                         (B) 1× km sample
            Fig. 8.9 Effects of loading rate and sample size on the deviatoric stress versus axial strain curve
            using the improved conventional loading procedure



            different, even though the loading rates of these two samples are identical. It is
            obvious that the general solution pattern for both the small and the large test sam-
            ples of 1000 particles is, even though not identical, very similar. This indicates that
            the sample size of a particle model has little influence on the mechanical response
            of the model in the elastic range of the particle material, even if the improved
   207   208   209   210   211   212   213   214   215   216   217