The Relationship between Cementitious Composition and Properties of Ultrahigh Strength Concrete

It is well known that supplementary cementitious materials (SCMs) have obvious effects on the properties of concrete. In order to understand the relationship between cementitious materials and properties of ultrahigh strength concrete (UHSC), the cementitious compositions of UHSCwere designed by the simple-centroid design method.)e effects of cementitious compositions on the properties of UHSC were investigated. It was found that the incorporation of silica fume (SF) improved the flowability and strength of UHSC, but it decreased the time of acceleration period, calcium hydroxide (CH) content, and porosity of UHSC at a certain content.)e incorporation of fly ash (FA) increased the flowability, time of acceleration period, and porosity of UHSC, but it decreased the strength and CH content of UHSC. )e relationships between cement, silica fume, and fly ash and the properties of UHSC were calculated based on the simple-centroid design method.


Introduction
e compressive strength of UHSC ranges from 120 MPa to 810 MPa, which is approximately 2-16 times than that of ordinary concrete. e durability of UHSC is superior that it prolongs the service life and reduces the maintenance of concrete structure. One of the most influential components to which UHPC owes its superiority in terms of mechanical properties and durability is SCMs. e incorporation of SCMs influences the hydration products, pore structure, ions in pore solution, and properties of concrete due to its particle characteristics, chemical composition, mineralogical composition, and reactivity [1][2][3]. It was reported that the incorporation of slag decreased the CH content and Ca/Si ratio of C-S-H gel [4]. e addition of SCMs increased the mesopores percent with a particle size less than 30 nm, but the volume of macropores of concrete reduced significantly [5]. e inclusion of SCMs reduced the hydroxyl ion concentration. e hydroxyl ion concentration of Portland cement (PC) was 0.53-0.71 M [6], while the incorporation of 50% slag or 30% FA reduced half of the hydroxyl ion concentration, and incorporating 7% SF reduced the hydroxyl ion concentration to 20% [7]. An increase of Al 2 O 3 and SiO 2 from SCMs had both a positive and negative effect on the zeta potential of concrete, respectively [8].
e compressive strength of concrete was proportional to the SF content when the SF content was less than 10% [9].
To improve the properties or reduce the cost of UHSC, it is a common technical method to incorporate SCMs into cementitious materials. It is reported [10] that the porosity of UHSC with 5-20% of metakaolin was similar to the UHSC without metakaolin. e incorporation of an appropriate amount of natural pozzolan had a little effect on the mechanical properties of UHSC [11]. Compared with UHSC without blast furnace slag, the three-day strength of UHSC with 30%, 50%, and 80% blast furnace slag increased by 3%, 26%, and 66%, respectively [12]. e incorporation of 53% limestone powder reduced the compressive strength of UHSC by 27%, but its compressive strength still reached 145 MPa [13]. Although the incorporation of lead-zinc tailings reduced the compressive strength, it remarkably decreased the autogenous shrinkage of UHSC [14]. e incorporation of 50% demolition waste to replace cement reduced the compressive strength of UHSC from 125 MPa to 109 MPa, but it still met the requirement of Chinese standard [15]. e incorporation of 40% phosphorous slag reduced the compressive strength of UHSC at three days, but it presented a comparable strength at 28 days [16]. e incorporation of no more than 25% of dehydrated cementitious materials to replace cement had a little effect on the compressive strength and durability of UHSC [17]. e addition of nanosilica significantly reduced the corrosion rate of steel bars in the UHSC [18]. Compared with UHSC without nanomaterials, the incorporation of nanometakaolin [19] and nanometaclay [20] increased the compressive strength of UHSC at later ages.
In order to better design the cementitious compositions of concrete, the relationship between cementitious compositions and properties of concrete has been established. Based on the maximum wet density, the packing density of mortar could be calculated from the specific gravity of each composition and mixture proportions [21]. e heat of hydration could be calculated from the mineral composition of cementitious materials [22]. e relationship between the proportion, hydration degree, specific gravity of cementitious composition, and the shrinkage of paste was established [23]. e relationship between the chemistry and content of cementitious materials and the setting time of mortar was also established [24]. e equations of the aforementioned literatures are established in ordinary concrete, and the hydration degree of cementitious materials is relatively sufficient. However, a large amount of cement clinker does not react in UHSC due to its low W/B [25], and the aforementioned equations are not applicable to UHSC. In order to understand the relationship between cementitious materials and properties of UHSC, the cementitious composition of UHSC was designed by simple-centroid design method, and the relationship between cementitious composition and properties of UHSC was calculated.

Raw Materials.
Cement, silica fume, and fly ash were used as binders, and their chemical compositions are presented in Table 1. e mean particle size of cement, SF, and FA were 29.8, 0.6, and 48.0 μm, respectively. Natural quartz sand with a particle size less than 2.36 mm was used as aggregate. Polycarboxylic superplasticizer (SP) was added to UHSC.

Mixture
Proportions. Based on modified Andreasen and Andersen model [26], the particle size distribution of sand was optimized.
where D is the particle size of sand, P (D) is the proportion of particles with particle size less than D, and D max and D min are the maximum and minimum particle size of sand. e value of q is 0.22. e mixture proportions of UHSC are listed in Table 2, and they are designed by simple-centroid design method. e W/B of UHSC was 0.16, and the sand-to-binder ratio was 1. e dosage of SP was 2 wt. % of binder. e mixtures were mixed until they were uniform. en, they were cast and submerged in saturated Ca (OH) 2 solution until test age.

Flowability.
e mixtures were poured into a minicone in two layers. en, the mixtures with minicone were liberated for 15 times. e minicone was lifted lightly and vibrated for 25 times. en, the mean diameter was determined. e flowability of mortar was the average of three tested specimens.

Hydration Heat.
e hydration heat was measured by a TAM air isothermal calorimeter. Based on the binder compositions presented in Table 2, cementitious materials, water, and superplasticizer were mixed until the mixtures were uniform. e cement pastes were filled into an ampere bottle. en, the ampere bottle was immediately placed into the TAM air isothermal calorimeter. e experiment lasted for 72 hours.

Compressive Strengths.
Specimens with a size of 40 × 40 × 160 mm were used to measure the strength. e compressive strength of mortar was the average of six tested specimens.

Water Absorption Porosity.
e 5 mm thick discs cut from ϕ10 × 150 mm were used to measure the porosity. Until age, three discs were dried at 105°C for 24 h, and the masses of discs were recorded as W 1 . en, the discs were saturated under vacuum for 24 h, and they were put into water to record the masses, corresponding to W 2 . e saturated surface dry basis mass was recorded, corresponding to w 3 . e porosity of mortars can be calculated as follows, and the porosity of mortar was the average of three tested specimens: 2.3.5. ermogravimetric Analysis. ermogravimetric analysis was used to measure the CH content. e samples were heated from 20°C to 1000°C at 10°C/minute in a nitrogen environment. e Ca (OH) 2 content was calculated from the weight losses from 450°C to 550°C. e CH content of mortar was the average of three tested specimens.

Factorial Design of Ternary Cementitious Materials.
e relationship between binder compositions and properties of UHSC could be established by simplex-centroid design [27], which has been successfully applied in previous studies [28][29][30][31]. By measuring the properties of no less than seven different proportions of mixtures, the contour maps could be drawn with the help of mathematical models and software, and the effects of different component on the properties of mixtures could be evaluated by simplex-centroid design. In this mathematical model, the proportions of PC, SF, and FA to cementitious materials were defined as x 1 , x 2 , and x 3 , respectively: where Y represents the properties of UHSC, β i is the coefficient, and x 1 , x 2 , and x 3 are the proportions of the three cementitious materials.

Results and Discussion
3.1. Flowability. Figure 1 shows the flowabilities of UHSC with different binders. e incorporation of SF increased the flowability of UHSC when its content was less than 15%, and then, it decreased the flowability of UHSC. e flowability of UHSC reached the peak value when the SF and FA content were 15% and 25%, respectively. SF could fill the pores, disperse cement particles, and release more free water, which improves the workability of concrete [32]. However, the incorporation of SF also required more free water since its specific surface area was very large [33], which decreased the workability of concrete. As a result, the optimum SF content was 15% for the flowability of UHSC. e incorporation of FA increased the flowability of UHSC when the FA content was less than 25%, and then, the flowability of UHSC slightly decreased. e flowabilities of UHSC were improved by incorporating FA due to its morphological effect. It was also reported that the flowability of concrete was improved when FA was incorporated [34]. Figure 2(a) shows the hydration evolution of UHSC. With the increase of SF content, the time of acceleration period of UHSC decreased first but increased later. e times of acceleration period of UHSC containing 0% (N1), 15% (N2), and 30% (N3) SF were 7.23 h, 4.77 h, and 6.37 h, respectively. An appropriate amount of silica fume presented heterogeneous nucleation effect, which accelerated the hydration of cement. However, when the silica fume content was excessive, the agglomeration of silica fume mainly presented dilution effect, which prolonged the hydration of cement. It was also found that the dormant period was prolonged by incorporating SF [35]. It can be seen in Figure 2(a) that the incorporation of FA (N4, N5, N6, and N7) significantly prolonged the dormant period of UHSC. When comparing with UHSC only containing SF (N2), the time of acceleration period of UHSC containing both SF and FA (N4) increased. Figure 2(b) shows the total hydration heat of UHSC. As the SF content increased, the total hydration heat of UHSC increased first but decreased later. e total hydration heat of UHSC was decreased when FA was incorporated into UHSC. Figure 3(a) shows the 3 d porosity of UHSC with different binders. e incorporation of SF decreased the 3 d porosity of UHSC when the SF content was less than 20%, and then, it increased the 3 d porosity of UHSC. Figure 3(b) shows that the incorporation of SF significantly reduces the 28 d porosity of UHSC. It is well known that the filling and pozzolanic effects of SF could increase the packing density of cement particles, improve the microstructure, and reduce the porosity of concrete [36,37].

Porosity in UHSC.
It can be seen in Figure 3(a) that the incorporation of FA increased the 3 d porosity of UHSC, but its effect on the 28 d porosity of UHSC was negligible. It was reported that the filling effect of FA refined the pore of concrete [38,39]. e nucleation effect of FA increased the hydration degree of cement [40,41]. e pozzolanic effect of FA refined the pore size and reduced the porosity of concrete [42,43]. As a result, the incorporation of FA increased the 3 d porosity due to its dilution effect, but it had a little effect on the 28 d porosity of UHSC due to the combined effects of dilution, filling, nucleation, and pozzolanic effects. Figure 4(a) shows the 3 d compressive strengths of UHSC with different binders. e incorporation of SF improved the 3 d strengths of UHSC    when the SF content was less than 15%, and then, its effect was insignificant. e positive effect of SF on the 3 d strength of UHSC could be attributed to its filling and pozzolanic effects [44,45]. Figure 4(b) shows the 28 d strengths of UHSC with different binders. e incorporation of SF increased the 28 d strengths of UHSC when the SF content was less than 15%, and then, it decreased the 28 d strengths of UHSC. It was probably that the agglomeration of SF reduced the flowability of UHSC, increased the porosity, and thereby decreased the strength of UHSC.

Compressive Strength.
As the FA content increased, the 3 d strengths of UHSC decreased. It was reported that the hydration of PC was the main chemical reaction during the early age [46], and the bond strength between FA and other solid phase was small [47]. erefore, the 3 d strength of UHSC decreased when FA was incorporated. Figure 4(b) shows that the incorporation of FA increased 28 d strengths of UHSC when the FA content was less than 20%, and then, it decreased the 28 d strengths of UHSC. e PH value in pore solution of concrete increased as the hydration of cement, leading FA to be ruptured [48]. Subsequently, the pozzolanic effect of FA improved the strength of concrete [49]. Figure 5 shows the CH contents of UHSC with different binders. As the PC content increased, the CH contents increased especially when the PC content was larger than 70%. Compared with FA, the effect of SF on the CH contents of UHSC was more obvious. e CH content formed from PC hydration can occupy 80% of final CH content before first three days. e CH content at an early age depended on the proportion of PC content in the cementitious materials [50]. However, incorporation of SCMs consumed the CH due to its pozzolanic effect, which decreased the CH content [51].

Relationship between Cementitious Composition and
Properties. In (3), the proportions of PC, SF, and FA to cementitious materials were defined as x 1 , x 2 , and x 3 , respectively. From the test results, the relationship between cementitious composition and properties of UHSC could be established. Taking 28 day compressive strength of UHSC as an example, it was defined as Y 28 , and the relationship between 28 d strength of UHSC and cementitious composition could be calculated from (3): Based on (4), the effects of PC, SF, and FA on the 28 d strength of UHSC could be calculated as shown in (5)- (7): It can be seen in (5)

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However, it also reduces the accuracy of this mathematical model. To improve the accuracy of this model, it is necessary to add more experimental points or reduce the area of contour maps.

Conclusions
In order to establish the relationship between cement, silica fume, and fly ash and the properties of UHSC, the effects of cementitious materials on the properties of UHSC were investigated. e conclusion could be drawn as follows. e incorporation of silica fume improved the flowability of UHSC when its content was less than 15%, and then, it reduced the flowability of UHSC. Incorporation of fly ash improved the flowability of UHSC. e flowability of UHSC reached a maximum of 296 mm when the silica fume and fly ash content were 15% and 25%, respectively. e time of acceleration period of UHSC was shortened when the silica fume was less than 15%. However, the dormant period was prolonged by incorporating fly ash or more than 15% silica fume. e incorporation of silica fume decreased the porosity and increased the compressive strength of UHSC when its content was less than 20%. As the fly ash content increased, the 3 d porosity of UHSC increased and its compressive strength decreased; moreover, the effect of fly ash on the 28 d porosity of UHSC was negligible. Incorporation of silica fume and fly ash decreased the calcium hydroxide content of UHSC. Compared with fly ash, the effect of silica fume on the calcium hydroxide contents of UHSC was more obvious. e relationships between the cementitious composition and properties of UHSC were established by simplex-centroid design. en, the effects of cement, silica fume, and fly ash on these properties of UHSC were analyzed.

Research Significance.
e composition of cementitious materials of UHSC is complex, which significantly influences its properties. However, the research on the relationship between cementitious materials and properties is limited to ordinary concrete, and there are a few studies on the relationship between composition of cementitious materials and properties of UHSC. In order to understand the relationship between cementitious materials and properties of UHSC, the cementitious composition of UHSC was designed by simplecentroid design method, and the relationship between cementitious composition and properties of UHSC was calculated. According to the results of this article, it can be used to guide the design of composition of cementitious materials of UHSC.

Data Availability
Some or all of the data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.

Conflicts of Interest
e authors declare that they have no conflicts of interest.  Advances in Civil Engineering