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TECHNICAL PAPER


           With a known solid volume of particulate material (V p ), the bulk   3.  RESULTS AND DISCUSSION
           volume (V b ) at the capillary state is the summation of water
           volume at maximum power consumption and solid volume of   3.1  Output material combinations
           particulate material. Therefore, packing density, α (the solid
           volume fraction at maximum power consumption), is determined   Calibration was achieved using preliminary experimental data
           according to Equation 1.                               from the mixing energy test, and entailed the analysis of packing
                                                                  density results of cement blends with limestone of varying
               V p                                      (1)
           α =                                                    fineness (Figure 2). Each packing density result is the average
               V b
                                                                  of at least two mixing energy tests. Detailed considerations for
           Initially, the packing density of plain cement and ground   the calibration of the CIPM are given in . The chosen model
                                                                                                  [6]
           limestone was determined, and thereafter various combinations   constants (K=12.2 for mixing energy test, C a =13.5, C b  = 1.0, and
           of cement with various ground limestones were tested. The   d c = 10 µm) enabled minimization of the average prediction error
           minimization of the difference between the predicted packing
           density and the experimental packing density was used as   to 1 % and a maximum prediction error of 2.8 %.
           the basis for selecting model constants. Once calibrated, the   Figure 2 reveals that KB2 and KB45 blends offer the most
           integrated use of the packing models guided the choice of   significant increase in packing density, and these were therefore
           material quantities for the optimized concrete mixes.  of interest for constructing optimized concrete mixes. The
                                                                  composition of the powder phases of concrete mixes was
           2.3  Materials and concrete mix design                 constructed to enable maximum packing density from the
                                                                  CIPM. Remaining material quantities were selected to enable
           2.3.1  Materials                                       the best fit of the overall mixture grading curve to the MAAC

                                                         2
           CEM II A-L 52.5 N (CEM II) with Blaine fineness of 2 700 cm /g   for the given constituents. Figure 3 portrays the PSD for Phase
           was used as a reference cement and blended with two limestone   1 mixes with minimum particle size D min  = 0.42 µm, and Figure
           fillers of varying fineness. These were Kulubrite 2 (KB2) and   4 portrays Phase 1 mixes with D min  = 0.36 µm. Figure 5 portrays
           Kulubrite 45 (KB45) with relative finenesses of 13 100 cm /g and   Phase 2 mixes with D min  equal to 0.36 µm. D max  was 9.5 mm for all
                                                       2
           600 cm /g, respectively. The use of materials finer (KB2) and   phases (Phase 1 and 2 mixes). The ideal MAAC grading curve is
                2
           coarser (KB45) than cement reportedly has the most significant   presented for comparison in each instance.
           potential for increasing powder packing density and binder
           efficiency . Additionally, two more limestone fillers were used   3.1.1  Phase 1 mixes
                   [9]
                                                   2
           in the calibration procedure, namely, KB5 (7 100 cm /g) and
           KB10 (4 800 cm /g). Fine aggregates were a Philippi dune   The reference mixture (portrayed as Mix 1-1 in all figures) was
                       2
           sand and a granite crusher sand, and coarse aggregates were   designed according to the locally applied C & CI ‘Method
           nominal 9.5 mm crushed granite. The only additive used was   of Mix Design’  [12] , and although the method is not aimed at
           MasterGlenium ACE 456, a poly-carboxylate superplasticizer.  achieving maximum packing density or at matching an ideal
                                                                  grading curve, the overall constituent grading curve reasonably
           2.3.2  Concrete mix design                             matches the MAAC grading curve, represented by a R-squared

           Two concrete mix design phases were used. Water content   statistic of 0.98. Incorporating parameters of bulk density and
           was held constant for Phase 1 mixes, which consisted of a   fineness modulus when determining aggregate quantities
           reference mix with 100 % CEM II, and five mixes with increasing   imply the filling of void space between coarse aggregates with
           limestone replacement, with a water/powder (w/p) ratio of 0.5.   fine aggregates, responsible for a high R-squared statistic. The
           Phase 2 mixes had reduced water content and reduced w/p and   value of the R-squared statistic increased to 0.99 for Mixes 1-2,
           were designed with constant powder-paste (material <125 µm   1-3 and 1-5, inferring increased packing density. Despite small
           + water) volume. Phase 2 consisted of a mix with a CEM II/  discrepancies in fine and coarse aggregate quantities between
           limestone blend of 45/55 vol. % and a mix with a CEM II/fly ash/  these mixtures, their PSDs tended to the same function. As
           limestone blend of 45/20/35 vol. % respectively. Table 1 gives   limestone content increased, the mixture PSD tended more
           the mix designs and mix ratios. It also includes approximate   closely to the ideal MAAC, also inferring increased packing
           values for the CO 2eq  of the various mixes (in kg/m ).  density. Incorporating KB2, Mixes 1-4 had a slightly improved
                                                  3
                                                                  packing density relative to the reference mix (R-squared of
           2.4  Concrete tests
                                                                  0.99 relative to 0.98), but Mix 1-6 had an equivalent R-squared
           Slump  [10]  and compressive strength  [11]  were tested for all mixes,   statistic to the reference mix. This implied the overall mix
           and additionally, durability index and accelerated shrinkage tests   (powders through coarse aggregates) of Mix 1-6 did not have an
           were conducted for Phase 1 mixes. However, this paper only   improved packing density, despite the powder phases having
           reports results for slump and compressive strength tests.  increased packing density relative to plain CEM II.


                                                                           THE INDIAN CONCRETE JOURNAL | FEBRUARY 2022  9
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