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Digital Specimen and Digital T est-Integration of Microstructure into Simulation   333


                 First, an initial simulation profile was obtained with a set of parameters that are
              typical values for AC. Second, sensitivity analysis of each parameter was conducted
              to find the effect of each parameter to the simulation results. Finally, a series of simula-
              tions were carried out to obtain the set of parameters leading to the minimization of
              the objective function. More details on back calculation are presented in Section
              10.3.3.
                 In order to simplify the procedure, Poisson’s ratio is taken as 0.3 for both networks
              and linear hardening was assumed for the elastoplastic network. The effect of each
              parameter on the final deformation is plotted in Figure 10.6 and the percentage change
              of the deformation caused by a 10% change of each individual parameter is listed in
              Table 10.1. The parameters A, m, and s yp  have major effects on the permanent defor-
              mation profile.

         0.40                                    0.40
         0.35                                    0.35
         0.30                                    0.30
         0.25                                    0.25
        Def.  0.20                              Def.  0.20
         0.15                                    0.15
         0.10                                    0.10
         0.05                                    0.05
         0.00                                    0.00
          0.0E+00    2.1E-03    4.2E-03    6.3E-03  0    2000  4000  6000  8000  10000  12000
                            A                                        E



                                                                                    0.40
         0.40
         0.35
                                                                                    0.30
         0.30
         0.25
        Def.  0.20                              Def.                                0.20
         0.15
                                                                                    0.10
         0.10
         0.05
                                                                                    0.00
         0.00
            0     0.2    0.4    0.6   0.8     1   -1     -0.8   -0.6    -0.4   -0.2    0
                             f                                      m


         0.40                                    0.40
         0.35                                    0.35
         0.30                                    0.30
         0.25                                    0.25
        Def.  0.20                              Def.  0.20
         0.15                                    0.15
         0.10                                    0.10
         0.05                                    0.05
         0.00                                    0.00
            0     0.02  0.04   0.06   0.08   0.1    0      0.2    0.4    0.6    0.8    1
                                                                     n
                            σyp                                       f
        FIGURE 10.6  Parameter sensitivity to deformation profi le.
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