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Microstructure Characterization   77








                                                                 Two
                                                                 Contacting Areas












                           (a)                                                    (b)

                  (a) Two Contacting Particles (b)Particles are Contacting at Many Points in Two Places
              FIGURE 3.13  Illustration of the complexity of contact.


                 The determination of the existence of a contact can be made by the distances among
              the surface points of two particles. Theoretically, this distance should be zero for two
              particles in contact. However, due to errors involved in digitalization, the spacing and
              thickness of sections, and the image processing required to separate particle cross-sec-
              tions, two particles with a certain small distance are considered contacting particles. This
              small distance is called threshold distance. The threshold distance must be determined
              based on an overall evaluation of the above errors and equilibrium considerations.
              Figure 3.14 presents the relation between the threshold distances and the corresponding


























              FIGURE 3.14  Number of particles in contact versus threshold distances.
   79   80   81   82   83   84   85   86   87   88   89