Page 43 - MODELING OF ASPHALT CONCRETE
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Modeling of Asphalt Binder Rheology and Its Application to Modified Binders      21


                                    11                                   100
                                             AC-40 (G∗)   AC-40 (Delta)
                                    10       AC-5 (G∗)    AC-5 (Delta)   80
                                    Complex Modulus at 25°C, log Pa  7   60   Phase Angle at 25°C
                                     9
                                     8



                                     6
                                                                         40
                                     5
                                     4
                                     3
                                     2                                   20
                                     1                                   0
                                      −5 −3  −1  1  3  5   7  9  11 13  15
                                              Loading frequency, log rod/s
                                            (a) Frequency master curves
                                     11                                  100
                                            AC-40 (G∗)    AC-40 (Delta)
                                     10     AC-5 (G∗)     AC-5 (Delta)   80
                                    Complex Modulus at 10 rad/s, log Pa  7  60  Phase Angle, °
                                     9
                                     8


                                     6

                                                                         40
                                     5
                                     4
                                     3
                                     2                                   20
                                     1                                   0
                                      −50  −30  −10  10  30   50   70   90
                                                  Temperature, °C
                                                (b) Isochronal curves
                    FIGURE 2-1  Typical rheological spectra for two asphalt binders.

                           on the composition of the asphalt. Some will show a rapid decline with
                           temperature and frequency; others will show a gradual change. Asphalts within
                                                                               ∗
                           this range may show significantly different combinations of G  and d.
                        •  At high temperatures, the d  values approach 90° for all asphalts, which reflects
                           the approach to complete viscous behavior or complete dissipation of energy in
                                           ∗
                           viscous flow. The G  values, however, vary significantly, reflecting the different
                           consistency properties (viscosity) of the asphalts.
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