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TECHNICAL PAPER


           to prevent the collapse during printing. The model considers   3.2  Buildability and early age mechanical
           fresh concrete as a Herschel-Bulkley fluid. The deformation is   behaviour of 3D printable concrete
           assumed not to occur until the maximum shear stress of layered
           concrete reaches yield stress. The CFD analysis was done,   Buildability of 3D printable concrete is defined as the ability of
           and the estimations were seen to be accurate. The model can   the extruded layers to retain the printed shape and to carry the
           estimate the occurrence and location of collapse and show the   weight of subsequent layers without failure. Buildability can be
           increase in yield stress of the fresh concrete. The model can be   understood at different scales – microscopic, mesoscopic, or
           used to reduce the use of numerical analysis for the computation   macroscopic. The rheological behaviour of concrete governs a
           of rheological parameters like hardening coefficient and initial   large part of its buildability property.
           yield stress (Jeong et al., 2019).
                                                                  Cement-based materials are mostly considered as elasto-
           Aggregate blocking during the extrusion of mortar is a very   viscoplastic fluids, generally considered as Bingham fluids, as
           critical problem. It was studied by El Cheikh et al. (2017) by   they do not flow under self-weight when kept unsupported
           experimental and numerical approaches, using a hard-core   (Banfill, 1991). For the initiation of flow in the Bingham fluid,
           (sand particles) soft-shell (cement paste) model for DEM.   the initial yield stress is to be exceeded. The material exhibits
           The governing parameter is the ratio of the bottom opening   an infinite absolute viscosity until high stress is applied and the
           diameter of the nozzle to the bead diameter of glass (to   flow initiates (Chidiac and Habibbeigi, 2005). At rest, the static
           compare with numerical results) as per numerical results. The   yield stress keeps continuously increasing, but the application
           model considers cement paste to be a fluid layer, which is   of shear erases this growth and brings it back to a previous
           dragged by the aggregates. The separation of cement pastes   state, which is known as thixotropy (Roussel et al., 2012). There
           from coarse aggregates during blockages in not considered in   is an increase in the structural build-up (structuration) inside
           this model. The model cannot predict properly for lower values   the concrete, due to a physical phenomenon (flocculation)
                                                                  and chemical phenomenon (hydration) (Roussel, 2012). If we
           of paste volume proportion (value of 0.54 for this study). The   consider the mesoscopic scale, concrete can be modelled as a
           study suggests that the paste volume proportion is more critical   suspension of aggregates in a cement paste (Roussel and Gram,
           that maximum paste thickness for blocking. So, blocking of   2006).
           extrusion needs to be further studied with different grain sizes
           and other possible variations. In-line quantification using unit   Concrete is a suspension of many different sized particles
           extrusion energy (UEE) principle, which is the consumed energy   in a continuous fluid flow. The mutual interactions can be
           per unit volume of extruded material, is proposed by Nerella   categorized mainly as Brownian forces, surface forces (colloidal
           et al. (2019b). It is used as a measure of extrudability. UEE is   interaction), hydrodynamic forces, and contact forces between
           inversely related to extrusion, i.e., lower the value of UEE higher   particles. At the microscopic scale, two phenomena control the
           the extrudability.                                     structuration - formation of a network of colloidal interactions
                                                                  (Figure 6) between cement grains, and formation of initial
           The importance of understanding the rheology of materials for   cement hydrates (at the time of mixing) leading to the formation
           extrusion is established in this section. The extrusion controls   of CSH bridges between cement grains (Figure 7). The yield
           the uniformity of the printed layers which can directly affect the   stress increases by the rigidification of the bridges (Roussel et
           geometry of the section and hence buildability. The next section   al., 2012). The yield stress and elastic modulus development
           describes the importance of buildability in 3D concrete printing.  with time are assumed to be linear by the Roussel model and

















                            (a)                     (b)                    (c)                     (d)
                           t = 0s               t = a couple s        t = several 10s            t > 100s
                          Figure 6: Network of interacting cement particles in the dormant period, adapted from Roussel et al. (2012)


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