Evaluation of hybrid steel fiber reinforcement in high performance geopolymer composites

In this paper, cement free high performance alkali activated slag-fly ash composites are designed by applying the modified Andreasen and Andersen particle packing model, and steel fibers of two lengths are applied for strength reinforcement and shrinkage compensation. The influence of the fiber length, dosage and hybrid on the fresh behavior, compressive strength, stress–stain behavior under flexural load, porosity and drying shrinkage are evaluated, and the gel structure of this blended alkali system is also identified. The results show that by applying the hybrid fiber together with the particle packing design approach, a compressive strength of around 100 MPa can be achieved with a w/p ratio of 0.4. The addition of steel fiber slightly decreases the slump flow and increases the porosity, but effectively inhibits the drying shrinkage and improves the stress– stain behavior. The hybrid usage of long and short fiber shows a synergetic effect and leads to the optimum strength. The steel fiber reinforcement is beneficial for the application of alkali activated materials.


Introduction
The production of Portland cement is usually accompanied with high carbon emissions and energy costs. In order to reduce the negative environmental impacts, the utilization of alkali activated materials (AAMs) as a substitute has been extensively studied in recent years. This type of material usually exhibits excellent performances such as mechanical properties [1], durability [2,3], thermal properties [4] together with low environmental impacts [5] compared to Portland cement. Based on the reaction mechanisms of the starting materials, two types of binding systems can be classified. One is the (Si ? Ca) system, having a C-A-S-H type gel with a low Ca/Si ratio and a high Al incorporation as the main reaction product [6]. The other is the (Si ? Al) system, the major reaction product is an N-A-S-H type gel within three-dimensional networks [7]. Both systems exhibit distinct behaviors due to their differences in reaction mechanism and gel characteristics.
The recent investigations that focus on the blended alkaline systems bring a promising future for the application of alkali activated materials, because of the better balance between mechanical properties and durability when mixing calcium enriched precursors with aluminosilicates [8][9][10][11]. The main reaction products in the blended system are stably coexisting C-(A)-S-H and N-A-S-H type gels [12][13][14]. Besides, the influences of key synthesizing factors on reaction kinetics, gel characteristics, mechanical properties and durability were intensively investigated [15][16][17][18][19][20][21]. The recent understandings on the blended alkali systems provide solid theoretical support for the further researches. Several applications have already applied in practice such as high residential buildings, pre-cast structural components, floor slabs, wall panels and railway sleepers [22][23][24].
However, even though excellent performances can be achieved by the blended alkaline systems, the relatively high drying shrinkage because of the nature of both raw materials and activators is still a remaining issue that limits their large scale applications, since it is well linked to the cracking tendency and consequently the durability related properties. On the other hand, the application of steel fiber in Portland cement systems has proven its advantages in improving the flexural strength, fracture toughness, impact and fatigue resistance [25,26], as well as the efficiency of reducing the shrinkage behavior of the brittle matrix [27,28]. The randomly dispersed fibers within the matrix reduce the extension and growth of microcracks by providing a stress transfer capacity, by which the generated inner stress can be transferred into other stable areas of the matrix [29][30][31]. Additionally, it should be noted that steel fibers with different lengths play distinct roles in inhibiting the cracks, namely short fibers are mainly for bridging the microcracks while long fibers are more efficient in reducing the macro-cracks [32,33]. Those improved properties may also indicate the potential of using steel fiber in alkali activated systems. Bernal et al. [27] applied steel fiber with dosages of 40 and 120 kg/m 3 in waterglass activated slag, the results showed that the flexural strength was largely improved and there was a reduction in compressive strength when increasing the fiber content; also water absorption and permeable porosity were reduced. Aydin et al. [31] used long and short steel fibers with the volume fraction up to 2% in waterglass activated slag-silica fume blends, and they reported that as the fiber content increases, there is a reduction on workability and drying shrinkage; while mixes with a higher fiber content and longer length exhibit higher compressive and flexural strength. Improvements in mechanical properties because of the steel fiber addition were also reported in [34,35]. However, there presents limited mechanism study and performance evaluation regarding the effect of hybrid steel fiber on the blended alkaline system.
The objective of this study is to design cement free high performance alkali activated slag-fly ash composites; steel fibers of two different lengths are applied for strength reinforcement and shrinkage inhibiting. All mortar mixtures are designed by applying the modified Andreasen and Andersen particle packing model, in order to achieve an optimal packing of the granular ingredients and therefore a condensed matrix. The influences of fiber length and dosage, as well as the utilization of hybrid fibers on workability, compressive strength, flexural strength, porosity and drying shrinkage are investigated. Additionally, the reaction products of this blended alkali binder are identified by using thermo-gravimetry (TG) and Fourier transform infrared spectroscopy (FTIR).

Materials
The solid precursors used in this study were commercial ground granulated blast furnace slag and Class F fly ash. Their major chemical compositions were analyzed by X-ray fluorescence and are shown in Table 1. Limestone powder was used as a filler. Two types of sand were used as fine aggregates: a micro sand (0-1 mm, provided by Graniet-Import Benelux B.V., the Netherlands) and a normal sand with the fractions of 0-2 mm. Besides, two types of straight steel fibers were applied: (1) fiber length of 13 mm with diameter of 0.2 mm; (2) fiber length of 6 mm with diameter of 0.16 mm. The specific densities of the raw materials and steel fibers are presented in Table 2 while the detailed particle size distributions of the solid particles are given in Fig. 1

Mix design methodology
The mixes of the alkali activated composites were designed following a mathematical model in order to achieve the optimized packing of the granular solid materials [36]. Theoretically, a minimal porosity can be achieved by an optimal particle size distribution of all solid materials, as shown in Eq. (1): Based on this packing theory, a new model, so called the modified Andreasen and Andersen (A&A) model, was proposed by taking into account of the minimal particle size, as shown in Eq. (2) [37]. In the present study, it is applied as a target function for the subsequent granular optimization of the individual solid materials.
where P(D) is a fraction of the total solids materials that are smaller than the particle size D (lm), D max is the maximum particle size (lm), D min is the minimum particle size (lm) and q is the distribution modulus. The distribution modulus (q) in the model is fixed at 0.23 based on the previous experiences [38,39,40,41,42,43]. By using an optimization algorithm based on the Least Squares Method (LSM), as presented in Eq. (3), the proportions of each individual material in the mix are adjusted until an optimum fit between the composed mix grading curve and the target curve is reached [42,43], namely minimized sum of the squares of the residuals (RSS) at defined particle sizes.
where P mix is the composed mix, and the P tar is the target grading calculated from Eq. (2). Then the optimized mixture will possess a compact matrix due to the optimal packing. The particle size distributions of the raw materials, the target curve and the resulting integral grading curve of the mixture is shown in Fig. 1. Additionally, the fiber contents up to 1% by volume are added in the original system; its effect on Long steel fiber 7800 Fig. 1 Particle size distributions of the raw materials, the target curve and the resulting integral grading line of the mixture the packing is not considered in this case but will be investigated in the future study. It should be noticed that applying the packing model not only benefits in achieving a dense matrix and the resulting improved properties, but also limits the presence of water between solids, and therefore leads to a relatively low total water demand, this is beneficial especially in alkali activated system, where no effective superplasticizers are available [34].

Sample preparation
The activator used in this study has an equivalent sodium oxide (Na 2 O) content of 5% by mass of the powder and an activator modulus of 1.4. The water/ powder ratio was kept constant as 0.4 in all mixtures. A slag/fly ash ratio of 80/20 by mass is used in all mixtures. The mix proportions of the used materials are listed in Table 3. Steel fiber contents up to 1% (by volume of the mortar) with an interval of 0.25% are applied. Samples with only long fiber or short fiber are prepared as references, and mixes with long/short fiber ratios of 80/20, 60/40, 40/60 and 20/80 are studied. All mortar specimens were prepared in a laboratory mixer; firstly the solid precursors were added into the mixer followed by the fine fillers and aggregates, and finally the fibers. The casted samples are covered with a plastic film for the first 24 h; then cured at a temperature of 20°C and a relative humidity of 95% until their testing age.

Testing methods
The workability of mortar samples was tested by the mini spread-flow test according to EN 1015-3 [44]. The compressive strength testing was carried out according to EN 196-1 [45]. Cubes samples were tested at the ages of 7 and 28 days. Each result is an average of three measurements. The flexural strength was tested using a Zwick Z020 instrument, under three-point loading using displacement control; the specimen sizes are 160 9 40 9 40 mm 3 , and a mid-span deflection rate is 0.10 mm/min with a span of 100 mm. The pre-load was performed with a force of 5 N and a speed of 10 mm/ min. The used testing speed was 50 N/s with a controlled force, the accuracy of the applied sensor is 0.1 N. The data was collected with a time interval of 0.1 s and travel interval of 1 lm. The experiments were carried out to three samples per recipe. The displacement is measured by a displacement transducer. A setup graph of the flexural strength testing is shown in Fig. 2. Fourier transform infrared spectroscopy (FTIR) measurements were performed in a Varian 3100 instrument with the wavenumbers ranging from 4000 to 600 cm -1 . The thermo-gravimetric (TG) analyses were conducted by using a STA 449 F1 instrument, samples were heated up to 1000°C at a rate of 5°C/min. Both FTIR and TG analyses were carried out at the age of 1, 7 and 28 d, respectively. The porosity was measured by applying the vacuum-saturation technique following the description given in NT Build 492 [46]. The water permeable porosity is calculated as: where P (%) is the water permeable porosity, M s (g) refers to the mass of the saturated sample in surface-dry condition in air, M w (g) is the mass of water-saturated sample in water and M d (g) is the mass of oven dried sample. The drying shrinkage tests were carried out using molds with dimensions of 40 9 40 9 160 mm 3 under conditions of 20°C and relative humidity of 50%, the initial length (L 0 ) was measured at 24 h after casting, then the length (L n ) was measured once per working day until the age of 28 days. Each result of the strength test is the average value of three tests, the results of fresh behavior, and porosity and drying shrinkage are an average of two tests. Figure 3 presents the curing container and the dial gauge that are used for shrinkage measuring. The curing box is sealed with an internal sensor control in order to achieve a constant relative humility and temperature.
3 Results and discussion

Flowability
The slump flows of the fresh alkali activated slag-fly ash mortars with long and short fiber additions are depicted in Fig. 4. It is clear that as the steel fiber content increases, the slump flow exhibits a gradual decrease in general, and the long steel fiber shows a more significant effect on the slump flow than the short ones. For samples without fiber addition, the slump flow is 25.9 cm; and it slightly decreases to 23.1 cm when the short fiber content increases to 1 wt.%. Similar trends are also shown in mixes containing long steel fibers. As the fiber content increases from 0 to 1%, the slump flow gradually decreases from 25.9 to 20.6 cm, which shows a higher decrement compared to the short fiber. This result is in line with the previous researches that the steel fiber addition presents a negative effect on flowability in both Portland cement system and alkali activated system [34,47]. It is widely accepted that the effects of steel fibers on workability can be summarized as: the elongated shaped steel fiber with a relatively high surface area increases the cohesive forces between the fibers and the matrix; stiff fibers push apart the particles that larger than the fiber length and change the structure of the granular skeleton to some extent; the deformed steel fiber improves the anchorage between the fiber and matrix [32,33]. Considering that only straight fibers with different lengths are used in this study, the decrease of slump flow here is due to the increased surface area and the resulting higher cohesive forces within the matrix. And long steel fibers have a relatively significant influence on this cohesive force.
Because of the fact that the long fiber presents a relatively smaller surface area (compared to short fiber, with the same volume) but a more significant effect on flowability in this case, it seems that the internal cohesive forces play a more important role than surface area on the workability. The slump flows of samples with 1% fiber content and different long/ short fiber ratios (80/20, 60/40, 40/60 and 20/80) are also tested, and those values are all in between of the samples with 1% pure long and short fibers (20.6 and 23.1 cm), following the tendency that a higher long/ short fiber ratio exhibits a relatively low slump flow. It should be noticed that one previous study mentioned that there is an optimum long/short fiber ratio in terms of workability in Portland cement based system [48], while this phenomenon is not observed in this study. It may imply that the slump flow in hybrid fiber conditions may also be influenced by other factors such as total fiber content, binder types, water dosage and utilization of superplasticizers.

Compressive strength
The 7 and 28 days compressive strengths of mixtures with different long and short fiber contents are depicted in Fig. 5  fiber is well known for improving the tensile or flexural strength, it can also bridge the cracks and retard their propagation to some extent during the compression loads. It should be noted that the mixes with 0.75 and 1% fiber content do not show significant difference in strength, which reveals that there is a limitation in contributing the compressive strength by steel fibers. The limited increase or even decrease in strength because of the fiber addition is also reported in the previous studies [31,34,49], it is suggested that this phenomenon is due to the combined effect of fiber addition and porosity. The optimum fiber content in terms of compressive strength may vary from different cases, and for a certain application, the relation between fiber dosage and compressive strength should be taken into consideration during the mix design process.
Similar to the effect of short fibers, the incorporation of long fibers leads to a relatively sharp increase with a dosage of 0.25%, followed by a continuous but slight increase of strength up to around 1%. Also no significant difference in compressive strength is shown in mixes with 0.75 and 1% long fiber content. The replacement of short and long fibers by 1% results in a strength increment of 11 and 17.5%, respectively; showing an ideal fiber efficiency. It is important to notice that mixes with long fibers present higher strengths than the short fiber in general, which is due to the higher efficiency of long steel fibers in inhibiting the growth of macro-cracks.
A total fiber content of 1% is chosen for investigating the effect of hybrid steel fibers. Mixtures with four different long/short fiber ratios (80/20, 60/40, 40/60 and 20/80 by volume) are applied and the 7 and 28 days compressive strengths are presented in Fig. 6. With a fixed total amount of fiber dosage, the compressive strength firstly increases when lowering the long/short fiber ratio, reaching the maximum strength in mixes with long/ short ratio of 60/40, followed by a gradual decrease. This result indicates the beneficial effect of using hybrid steel fiber on compressive strength, by doing so a higher strength can be achieved with the same fiber content, and a certain fraction of long/short fibers may exhibit the optimum performance. Additionally, the relatively high strength of all mixes in general is also due to the utilization of particle packing methodology.

Stress-strain behavior
3-point bending test is performed to obtain the stressstrain relation (see Fig. 2). The strain is calculated by the determined displacement that is measured by a displacement transducer. The applied load is automatically recorded in a computer. The stress-strain relation is collected by the default program in the instrument, which is then exported for analysis. The 28 days stress-strain curves of mixtures with short, long and hybrid steel fibers are shown in Figs. 7, 8 and 9, respectively. It can be seen from Fig. 7 that the addition of only short steel fiber increases the ultimate  MPa, which gradually increases to 11.2 MPa when increasing the short fiber content up to 1%, showing a relative strength increase of 31.8%. A slight but detectable increase in strain is also observed. However, the fracture mode of the mixtures with short fibers remains the same as the reference sample: the brittle fracture. Moreover, the addition of only short fibers exhibits very limited influence on the energy absorption capacity.
The influence of short fiber on the stress-strain behaviors is attributed to shape of this fiber, the relatively short length and diameter makes this fiber capable of inhibiting the micro cracks under flexural loads, thus the flexural strength is increased as a result (for instance, with a 1% fiber addition a relative strength increase of 31.8% is resulted). However, as the loading continues to increase, the micro cracks develop and merge into larger ones and short fiber becomes less effective in macro crack bridging due to its limited length, therefore the failure mode remains the same as plain concrete, i.e. brittle fracture. Figure 8 depicts the stress-strain curves of samples with long fiber addition. Compared to the effect of short fibers, a more significant improvement in ultimate flexural strength and plastic fracture is presented. For instance, when only 0.25% (by volume) long fiber is incorporated, the flexural strength increases from 8.5 MPa to 10.0 MPa, showing a more obvious increase (17.6% improvement) compared to the ones with the same amount of short fiber. It indicates that long fibers are more effective in improving the flexural strength. This is attributed to the longer size of long fibers which makes them more oriented between two imaginary borders, thus a better capacity of preventing the growth of macro cracks can be achieved. The sudden stress loss after the peak load is caused by the occurrence of initial failure crack, and the following stress increase is due to the bonding force between the steel fiber and the matrix, then the stress starts to decrease again until the fiber cannot hold the imposed force anymore. It should be noted that the addition of short and long fibers by 1% increases the flexural strength by 31.3 and 58.5%, respectively; showing much higher increments than the compressive strength.
The influence of hybrid steel fiber on flexural strength is presented in Fig. 9. The fiber content for all mixes is fixed at 1% and samples with only long or short fibers are used as references. For mixes with long fiber contents no lower than 40%, plastic fracture is presented. As the long fiber friction increases, mixes show generally a higher energy absorption capacity and a lower stress drop rate after reaching the stress peak; which shows again the higher efficiency of long fibers in bridging the macro-cracks and therefore a more stable post-peak response. However, although mixes show an increased energy absorption capacity with the increasing long fiber content, samples with 60-100% long fiber present a comparable post-peak response in general, and the highest flexural strength is shown in mixes with a short/long fiber ratio of 40/60. It confirms that the ultimate flexural strength is not well  linked to the toughness. Besides, it can be noticed that the initial elastic period is not linear, which is caused by the limitations of the used testing machine, namely a certain period before stable loading is still needed after the initial load and clamp, and meanwhile the stress-strain curve is already collected. Nevertheless, since all the mixtures share a constant testing procedure, it is scientifically reliable to evaluate the effect fiber addition by investigating the shifts in stressstrain curves; and reasonable comparisons within the tested samples can still be made.
It is well known that the main contribution of steel fibers in reinforcing the mechanical properties is their ability to bridge the cracks and to retard their propagation; and short fibers are efficient in bridging the micro-cracks while long fibers are more effective in inhibiting the macro-cracks. According to [32,33], the positive effect of hybrid fiber on mechanical properties is assigned to the different mechanisms of short and long fibers in restricting the cracks: (1) The short steel fiber can bridge the micro cracks in a more efficient manner, because with the same fiber addition volume, short fibers will have higher number due to their smaller individual volume. While as the micro cracks merge into larger ones with higher crack widths, short fibers may become less active due to their limited length. (2) Long fibers are more oriented between two imaginary borders, which are more efficient in preventing the macro cracks by nature. Besides, they can also form a barrier for short fibers and confine their rotation, thus the short fiber can be better oriented together with long fiber. Therefore, the hybrid usage of long and short fibers inhibit the cracking process from both micro and macro levels, and the synergetic effect of these two facts results in a higher resistance to the loading. The results also show that the fibers work in a similar role in alkali activated binder systems as in Portland cement system.

Water permeable porosity
The influences of fiber length and hybrid steel fibers on 28 days water permeable porosity are shown in Fig. 10. All mixtures show similar levels of porosity in overall, and the fiber addition shows limited but detectable influence on the porosity. For samples without fiber addition, the porosity is 17.2% at 28 days; when short fiber is added up to 1%, the porosity increases almost linearly to 17.8%. Similarly, the incorporation of long fibers also leads to a slight increase of porosity up to 18.1%. The increment of porosity due to the fiber addition is in constant with the previous study on cement based system [41], showing that the effect is independent of the binder type. It is suggested that the increased porosity due to the fiber addition is attributed to the internal forces between the fibers and aggregates, and/or the fibers themselves, which change the structure of the granular skeleton and reduce the packing density [32]. With the same fiber dosage, the long steel fiber exhibits a more significant influence on porosity than the short ones; indicating that longer fibers may present a more obvious effect on changing the granular skeleton, while the short ones can be relatively better dispersed within the matrix thanks to their smaller length and diameter. The two straight trend lines shown in Fig. 10 clarify that when the fiber content is increased in the matrix, there is a linear increment of the porosity in general, although slight deviations are observed. Different slopes of these two lines refer to their different affecting efficiency on the porosity.
Concerning the effect of hybrid fibers, as shown in Fig. 10, that the relation between the porosity and fiber composition seems to follow a similar tendency as the effect of single fibers, and samples with a higher fraction of long fibers exhibit a higher porosity. It seems that the porosity of the hybrid mixes is only a physical combination of the ones with single fibers, and the hybrid usage of these two fibers does not show any synergetic effect on porosity. It can be seen that Fig. 10 Effect of fiber length and hybrid fiber on 28 days porosity both compressive and flexural strength increase with the increasing fiber content in general, but the porosity also increases at the same time. It is suggested that the final mechanical property is the apparent result of the combined effect of steel fiber and porosity. On the one hand, the addition of steel fiber can efficiently inhibit the generating and growing of cracks, especially when hybrid fiber is applied, thus the mechanical properties are improved in general; while on the other hand, the increased porosity due to the fiber addition may lead to the strength reduction. It is obvious that within the applied fiber dosage in this study, the crack-bridging behavior due to the fiber addition seems to present a stronger effect than the porosity increment, and then the mechanical properties exhibit an increase in general. It should also be noticed that beyond the fiber dosage of 1%, the increment of compressive strength is no longer significant; it could be an indication that the increased porosity may show a more obvious effect over the crack-bridging effect at higher fiber contents. It is believed that the relatively poor flowability of the long fiber mixes is also a reason for the higher porosity. Figure 11 depicts the drying shrinkage results of mixes with only long or short steel fibers until 28 days and each value is an average of two measurements. It is apparent that the reference sample exhibits an obvious length change over time, especially during the first few days. It is commonly known that the drying shrinkage is caused by the evaporation of free water from the pores of the hardened matrix [54], and a generally higher drying shrinkage is usually shown in alkali activated materials compared to the Portland cement based materials. As shown in Fig. 11, the shrinkage decreases with the increasing steel fiber content up to 1%. It reveals that the fiber addition can be used as an efficient approach of inhibiting the drying shrinkage of alkali activated materials in this case. Besides, a relatively high drying shrinkage of the reference sample was observed in the previous research of the author (-3996 9 10 -6 , 28 days of curing [50]), where the same starting materials' composition but different batches of slag were used; it is suggested that the difference in shrinkage is due to the different applied raw materials, the nature of the starting material (such as chemical composition and fineness) may also have a significant effect on the shrinkage behavior. It can be observed from Fig. 11 that for a fixed fiber dosage, mixes with long fiber present relatively high values compared to the ones with short fiber, indicating that the long fiber is slightly less effective than short fiber in inhibiting the shrinkage; but a long fiber addition of 1% still exhibits a shrinkage reduction rate of 27.6% compared to the reference sample.

Drying shrinkage
The present results are in agreement with the general conclusions from the previous investigations that the steel fiber addition can effectively reduce the drying shrinkage [51,52]; however, drying shrinkage that is independent of the fiber length was also reported [31]. It reveals that the origin of the starting materials (both the applied binders and steel fibers), sample shape and testing conditions may also show an influence on the final results. Considering the fiber addition slightly increases the porosity, it is more likely that the significantly reduced drying shrinkage is assigned to the efficiency of steel fibers in maintaining the volume stability of the matrix. The evaporation of free water from the matrix can result in a reduction on the absolute volume, and meanwhile tensile stresses may arise from the resulted internal restraints [53]. When steel fiber is incorporated, the generated tensile stresses will be imposed on the fiber (on the matrix as well), due to the high elastic modulus and bridging effect of steel fiber, the influence of this inner force on shrinkage can be suppressed to some extent. Concerning the effect of hybrid fiber, the tested mixes are having the constant total fiber content Fig. 11 Drying shrinkage of AA slag-fly ash mortars with different fiber lengths (1 vol%) with different long/short fiber ratios (0/100, 20/80, 40/60, 60/40, 80/20 and 100/0 wt%). The results show that samples with higher short/long fiber ratios exhibit a slightly lower shrinkage, while all mixtures present a similar level of drying shrinkage in general; which indicates that the fiber content possesses a more significant influence than the fiber type, and the utilization of hybrid fiber seems not to show obvious synergetic effect regarding shrinkage. Concerning the effect of hybrid fiber is limited; their relations with shrinkage are not shown in the form of figure in this study, as presented above.

Other remarks
The gel structure of this alkali activated binder is identified by using Fourier transform infrared spectroscopy and thermo-gravimetric analyses. The infrared spectra of the unreacted slag and fly ash, as well as the reaction products after 1, 7 and 28 days of curing are given in Fig. 12. For the starting materials, a main vibration band at around 900 cm -1 and a small shoulder at around 670 cm -1 are shown in the original slag, which is assigned to the asymmetric stretching vibration of terminal Si-O bonds [54] and the stretching vibration of tetrahedral T-O groups [55], respectively. As for the fly ash, a main absorption band that is shown at around 1020 cm -1 , and several weak absorption bands at around 1080, and 600-800 cm -1 , indicating the presence of large amount of the bridge Si-O-T bonds [56] and small amount of quartz and mullite [57], respectively. After activation, the main absorption band shifts to around 940 cm -1 that is assigned to the asymmetric stretching vibration of the non-bridging Si-O bonds [58], showing that the main reaction products exhibit a chain structure. They are generally regarded as C-A-S-H type gels, which have similar structure as the hydration products of Portland cement, but with higher alumina contents and lower Ca/Si ratio, also no intrinsic difference is observed based on X-ray pair distribution function analysis [59]. The slight shoulder at around 815 cm -1 together with the absorption band at 1400 cm -1 reveal the presence of carbonates [60], and the absorption bands at 1640 cm -1 and around 3200 cm -1 (not shown in the figure) are assigned to the vibration of bound water [61]. No significant structural changes are observed between the curing age of 1, 7 and 28 days.
The thermogravimetric results of paste sample at the age of 1, 7 and 28 days are depicted in Fig. 13. It can be seen that there is a significant mass loss before around 105°C due to the loss of physically bound water [62]. A gradual decrease in mass until 600°C is shown followed by a stable curve with remarkably low mass loss till 1000°C. There is no abrupt decrease in mass loss between the temperature range of around 105 and 1000°C, which indicates that mass loss within this temperature range is mainly due to gradual decomposition of C-A-S-H type gels. The total mass Fig. 12 FTIR spectra of the starting materials and AA slag-fly ash blends at 1, 7 and 28 days Fig. 13 TG analyses of AA slag-fly ash blends at 1, 7 and 28 days loss between around 105 and 1000°C shows a small increment from 3.8 to 4.9% between 1 and 28 days. The relatively small increase in bound water content with age may suggest again the completion of the main reaction process within the first day of curing.
Besides, the fiber content used in this case is limited to 1% by volume, which aims at investigating the effect of fiber length the use of hybrid fiber on those discussed properties, without significantly increasing the total costs of the developed materials. Nevertheless, it is also interesting to investigate the mixes with higher fiber contents in the future studies, since higher fiber dosages are commonly used in the case of high performance cement based composites and then comparisons between different binder systems can be made with convenience. The increased total fiber content may show different effects on different issues, the flowability may continuously decrease and the porosity keeps increasing, since the fiber addition only presents physical effect. To what extent can the steel fiber inhibit the drying shrinkage is another issue that deserves further investigations. Besides, for the applied particle packing methodology, it can be seen from Fig. 1 that the optimized mix still exhibits a lower amount of fine particles within the range between 0.3 and 20 lm compared to the target curve. This is due to the limited amount of fine particles of the provided materials. Thus if additional fine materials can be used in the future studies, a better packing can be achieved, and thus the porosity and other related performances can be further improved. In overall, by using the hybrid steel fiber, a certain combination of the discussed properties can be achieved; also the advantages of both long and short fibers can be taken, especially in improving the stress stain behaviors and reducing the shrinkage, which brings this type of alternative binders a brighter future in high performance applications.

Conclusions
This paper investigates the performances of alkali activated slag-fly ash composites that are reinforced by long and/or short steel fibers, and the mortar samples are designed by applying the modified Andreasen and Andersen particle packing model. Based on the experimental results, the following conclusions can be drawn: • The addition of long and short fibers (up to 1% by volume) decreases the slump flow from 25.9 to 20.6 and 23.1 cm, respectively. The utilization of long steel fiber presents a more significant effect because of the higher influence on the cohesive forces within the matrix. Nevertheless, the designed mixes show in overall relatively good workability. • The compressive strength is increased by 10.3%/ 16.8% when short/long steel fiber is incorporated, respectively. The fiber content of around 1% by volume reaches the limit of strength improvement. The hybrid usage of long and short fibers presents a synergetic effect by inhibiting the cracks from both micro and macro levels, resulting in the presence of an optimum strength. • The addition of long fiber with contents higher than 0.25% by volume changes the fracture mode from brittle into plastic, and the flexural strength and toughness are also remarkably increased by the long fiber incorporation. The addition of short fiber increases the flexural strength in a relatively small level without changing the fracture mode. Synergetic effect of long and short fibers is also shown in flexural behaviors. • The main reaction product of this blended alkali binder is a chain structured C-A-S-H type gels, with the chemically bound water content of around 5% at 28 days; and without other obvious crystalline phases. The gel structure remains stable after 1 day of curing, indicating the completion of the main reaction process at early age of curing. • The addition of long and short fibers up to 1% leads to the water permeable porosity increment of 0.6 and 0.9% respectively, attributed to the change of the granular skeleton. The deployment of hybrid fibers leads to a slightly reduced porosity. • Due to the ability of effectively suppressing the generated inner forces, the utilization of long and short steel fiber significantly reduces the 28 days drying shrinkage up to 27.6 and 31.9%, respectively. The hybrid usage of long and short fibers exhibits more a physical combination rather than synergetic effect.