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Digital Specimen and Digital T est-Integration of Microstructure into Simulation   359


                      Mixes               Parameter f       Initial Yield Stress Y 0  (Mpa)
                     AC = 5.6%               0.9                     0.037
                     AC = 6.0%                0.85                   0.032
                     AC = 6.4%               0.8                     0.028
              TABLE 10.5  Parameter f and initial yield stress Y 0 .



                   A           n           m           B           C           D
                 2.3E-3       0.8        –0.24       1.0E-2        3           4.5
              TABLE 10.6  Other parameters.



        10.4  Other Approaches to Incorporate Microstructure into Simulation
              10.4.1  Micromechanical Finite Element Method
              Dai et al. (2004) presented a micro-finite element method (MFEM). Each contact pair is
              modeled as an element between two aggregate particles with a binder layer in between.
              Figure 10.45 presents the idealization and the element analysis. Through element analy-
              sis, the element stiffness matrix can be established.















                                                                                 (10-7)




        Aggregate


             Void
                                                         z
                                                            w 1     w 2
                                                                                Cement
          Binder
                                                                                Binder
                                                    h 0
                                                                               x
                                                                    Element Line

                     a. Idealized microstructure          b. Element analysis
        FIGURE 10.45  Illustration of the MFEM (Courtesy Qingli Dai and Sadd).
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