Page 404 - Mechanics of Asphalt Microstructure and Micromechanics
P. 404

T
   396   Ch a p t e r w e l v e

                                 Shear Stress versus the Ratio of the Elastic Moduli
                             0
                               0      10     20      30     40      50     60
                            -5

                         Stress (psi)  -10
                           -15

                           -20

                           -25
                           -30
                                              Z-Coordinate (r=1)

                                E/E'=1  E/E'=0.9  E/E'=0.7  E/E'=0.5  E/E'=0.2
                     a. Shear Stress vs. Elastic Modulus Ratio



                                 Tensile Stress versus the Ratio of the Elastic Moduli
                           5
                         Tensile Stress (psi)  3
                           4


                           2
                           1
                           0
                             0        2         4         6         8        10
                                              Z-Coordinate (r = 1)

                                E/E'=1  E/E'=0.9  E/E'=0.7  E/E'=0.5  E/E'=0.2
                     b. Tensile Stress vs. Elastic Modulus Ratio
                     (Note, E=E h and E′=E v)
              FIGURE 12.2  Stress distribution versus the ratio of the elastic modulus.

              of the APA testing conditions). The block is discretized into 1000 3D 20-node solid ele-
              ments after refinement analysis. Two sets of boundary conditions are applied. In set 1,
              the bottom surface is fixed in x, y, and z directions (Figure 12.3); the other four lateral
              surfaces are fixed in normal directions (horizontal directions). This set of boundary
              conditions is similar to an asphalt overlay placed on top of a rigid pavement (strong
              base) with excellent bonding. In Set 2, the bottom surface is fixed in z directions only
              and the other four lateral surfaces are fixed in normal directions (horizontal direc-
              tions). This configuration is similar to the testing configuration of the APA. Because
   399   400   401   402   403   404   405   406   407   408   409