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Applications of Discrete Element Method   307


                                           Agg.   Young’s
                                 Agg.    Specific  Modulus  Poisson’s          Porosity
              Material          Size(mm)  Gravity  (Gpa)    Ratio   Weight(g)   (%)
              Crushed river gravel 9.5~12.7  2.528  60     0.2      1878      44.4
              TABLE 9.8  Physical properties of the material.


              Shear Apparatus EL28-007 was utilized for the test. Normal forces applied were 20 N
              (Newton), 120 N, 320 N, and 520 N, respectively. The displacement rate was 0.12 mm/s.
                 A shear box with a size of 5   5   2.5 in (127   127   63.5 mm) was specially built
              for the test. It was made from plexiglass which can be penetrated easily by X-rays (Fig-
              ure 9.18a). Aggregates were placed into the shear box and compacted by a 5-pound
              compact hammer until the desired unit weight was obtained. A normal force was then
              applied on top of the specimen. The top box was fixed, and the bottom box was pushed
              horizontally. The relative lateral displacement and shear force between the two boxes
              were monitored automatically during shearing by a data acquisition system: Wave
              book/512 TM  12-bit 1MHZ. The maximum relative displacement between the top box
              and the bottom box is 9 mm.
                 The specimen (the shear box together with compacted aggregates) was scanned by
              XCT before and after shearing. Sectional images representing aggregate skeletons were
              obtained. The space between two adjacent images was 1.3 mm, about one-tenth of the
              maximum particle size. Based on the sectional images, the individual particle mass
              centers were quantified following the 3D digital analysis method developed by Fu et al.
              (2007), which was also presented in Chapter 4. The specimen porosity calculated by
              digital analysis was 44.8%, which was very close to the measured value 44.4%. Figure
              9.18b presents some sectional gray images acquired by XCT. Based on the sectional im-
              ages obtained before and after shearing, the particle translations, rotations, and local
              strains can be quantified.























                 a. The shear box and the material   b. The gray images acquired by XCT
                    used in the direct shear test
              FIGURE 9.18  Illustration of the test setup and scanned sectional images.
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