Page 462 - Mechanics of Asphalt Microstructure and Micromechanics
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454   C hapter T h ir te en


              of these two parameters with the moisture sensitivity of asphalt mixtures. These two
              parameters are computed from the surface free energy components of the asphalt bind-
              er, aggregate, and water using Equations 13-30 and 13-31.
                 Dry interface condition (Bhasin et al., 2007):
                                                       +

                                                               −
                                 ΔG abs dry  = 2 γ LW γ LW  + 2 γγ _  + 2 γγ +
                                    AS       A  S      A  S    A  S
                                                = γ  + γ  − γ                   (13-30)
                                           A   S  AS
                 Moisture interface condition (Bhasin and Little, 2007):

                                       ΔG  abs wet  = γ  + γ  − γ               (13-31)
                                          AS     AW   SW  AS
                          abs wet
                 Where ΔG AS     represents free energy of an interface system moisture conditioned,

              ΔG abs dry  represents free energy of a dry interface system. The subscripts A, S, and W
                AS
              represent asphalt binder, aggregate, and water, respectively; g A  denotes the free surface
              energy of asphalt, g S  denotes the free surface energy of aggregate, and g ij  denotes inter-
              facial surface free energy between any two materials i and j. The terms g  LW , g , and g
                                                                                      –
                                                                               +
              refer to Lifshitz-v dW , acid, and base components of surface free energy, respectively.

                 A higher value of ΔG  abs dry  indicates better adhesion between the aggregate and the
                                   AB
              asphalt binder, whereas a lower value of ΔG  abs wet  indicates that a lower potential drives
                                                   AB
              water to displace the asphalt binder from its interface with the aggregate.
                 A simple moisture damage interface model (Lu, 2010) with 100 water molecules
              sandwiched between bitumen and a quartz layer was developed and illustrated in Fig-
              ure 13.17. This model is constructed for the undeformed structure of interfaces that may
              lead to either adhesive or cohesive failure.
                 Lu (2010) investigated the interface atomistic models with different minerals such as
              quartz and calcite. The adhesion energy and cohesion energy based on the surface ener-
              gy method were used to assess the sensitivity of aggregate-binder interface to moisture



              FIGURE 13.17  Interface
              model for moisture damage
              simulations.
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