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Meso-structural modelling in recycled aggregate concrete          467



















           Figure 15.11 Finite element model.

           15.3.3.1 Finite element model
           COMSOL Multiphysics software was used to generate a 2D finite element model
           for simulating the stress developed in the elastic area of the aggregate/matrix ITZ
           when uniform external 100 MPa pressure was applied to the aggregate/ITZ/cement
           matrix system. The models discussed under Sections 15.3.2.1 and 15.3.2.2 imple-
           mented this same approach.
              The other parameters initially defined included the following:

              Number of phases: a three-phase (coarse aggregate/ITZ/matrix) model was used.
              Aggregate geometry (Fig. 15.11): the particles were assumed to be circular to reduce the
              mathematical complexity of the model, a simplification in keeping with earlier models
              developed for both conventional (Zheng et al., 2016) and recycled (Peng and Pu, 2016)
              concrete.
              Mesh size and geometry (Fig. 15.3): the triangular elements widely used for traditional
              modelling were chosen to build the model. The mesh was intensified in the ITZ by adding
              at least five extra elements, as in the numerical simulation conducted by Peng and Pu
              (Peng and Pu, 2016) on recycled aggregate concrete.


           15.3.3.2 Model constituents
           The phases defined to develop the model were as listed below:

           1. Coarse aggregate: this phase was assumed to consist in siliceous gravel and recycled san-
              itary ware aggregate characterised by unglazed inner and glazed outer surfaces, with the
              latter accounting for at least 2% of the total area.
                The aggregate parameter values entered in the model are listed in Table 15.3. As noted
              earlier, all particles were assumed to be round and have the same diameter, 12.5 mm (the
              maximum). Based on nanoindentation data, the modulus of elasticity was greater in the
              natural gravel than in the glazed and unglazed ceramic aggregate, due primarily to their
              respective mineralogical compositions (Medina et al., 2015a).
           2. ITZs: given the difficulty in determining the properties of coarse natural and ceramic
              aggregate/matrix ITZs with traditional methods, the nanoindentation findings reported by
              Medina et al. (2015a) were entered in the model.
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