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468                               New Trends in Eco-efficient and Recycled Concrete


          Table 15.3 Aggregate properties
                                               Type of aggregate

          Parameter             Gravel      Unglazed ceramic    Glazed ceramic
          Diameter (mm)           12.5            12.5               12.5
          Shape                 Circular        Circular           Circular
          Elastic modulus (GPa)  109.7            99.9              88.40
          Poisson’s ratio         0.2             0.2                0.2


           80.00
                        Unglazed ceramic aggregate  Glazed ceramic aggregate  Gravel
           70.00
                                              3
                                                    2
                                         = –0.011x  + 0.7687x  – 16.659x + 136.03
                                     gravel
                                     y
                                               R 2  = 0.9943
           60.00                               3     2
           Elastic modulus (GPa)  40.00  y glazed ceramic aggregate  = –0.0063x  + 0.4721x  – 11.011x + 105.13
           50.00
                                          R 2
                                            = 0.9956
           30.00

           20.00
                                               3
                                                     2
                                         = –0.0052x  + 0.3511x  – 7.4x + 75.4
                           unglazed ceramic aggregate
                          y
                                         2
                                        R = 0.9849
           10.00
                                                                    Cementitous
                                             ITZ
                                                                      matrix
                  Aggregate
            0.00                                                      (paste)
               0        5       10       15      20       25       30      35
                                    Distance from the interface (μ μm)
         Figure 15.12 Modulus of elasticity versus distance from the interface in the ITZ. ITZ,
         Interfacial transition zone.
              Fig. 15.12 shows that the values of the elastic modulus across the ITZs declined gradually
           from a maximum at the aggregate surface to a nadir, followed by a moderate rise that stead-
           ied near the contact with the mortar. The figure also gives the third-degree polynomials
           entered in the model to which the [elastic modulus (y) versus distance (x) between the ITZ
                                                                   2
           and the aggregate] curves were fitted with a very high correlation coefficient (R . 0.95).
              The ITZ thickness entered in the model was 30 μm, as shown in Fig. 15.12. That value
           was within the range (10  50 μm) assumed by other authors in similar simulations
           (Zouaoui et al., 2017). The thickness was assumed to be uniform around the entire perim-
           eter and the Poisson coefficient to be 0.2, in keeping with prior studies (Grondin and
           Matallah, 2014).
         3. Cement matrix (mortar): on the microscale this phase is a heterogeneous material com-
           prising fines aggregates, cement matrix and pores. In meso-scale numerical simulations,
           however, it is assumed to be homogeneous (Yaghoobi et al., 2017).
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