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330   Ch a p t e r e n
                 T

              10.2.1.1  Finite Element (FE) Model
              An FEM indirect tensile test was built to reflect the actual displacement and traction
              boundary of the test. Due to the symmetrical geometry of the specimen, only a quarter
              of the sample was modeled (Figure 10.2a, the whole geometry must be used for the
              digital model due to non-symmetric microstructure). Distributed traction force was
              used to represent the loading in order to avoid contact problems. Roller supports were
              applied to each node at the symmetric axis. The location of the displacement measure-
              ment point was determined according to actual testing configurations. The loads are
              modeled as a repeated haversine pulse. The amplitude and frequency were set to be the
              same as those in the actual testing (Figure 10.2c).




                                                                         p
                                                                           1"

                                                                             Deformation
                                                                             Measure Point
                                                                           4"

         Measuring point

                                                                           1"

                                                                   2"
                     a.  FE Model Indirect Tens



                     1.00
                     Load  0.50

                     0.00
                         0        1       2        3        4       5
                                                 Time

                c. Indirect Tensile Test Pulse Loading


                       1
                     Load  0.5

                       0
                        0          1         2         3          4         5
                                                 Time
                d. Dynamic Modulus Test Sinusoidal Loading
        FIGURE 10.2  Model components for indirect tensile test and the dynamic modulus test.
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