Introduction

Cement mortar (CM) is a widely used building material, which is used in various fields such as masonry foundation walls, load-bearing exterior masonry walls, and masonry footings. CM usually has good compressive strength and resistance to fire [1, 2], but its weak point can be its low resistance against flexure, tension, and impact [3,4,5,6]. Like concrete, one of the main components of CM is cement, which is responsible for the production of 5–7% of CO2 on the planet [7,8,9,10,11,12]. Estimates indicate that by 2050, the demand for Portland cement will increase by 200% compared to the rate of 2010 [13]. On the other hand, emerging nanotechnology has created a new window to improve and enhance the properties of various materials. This technology is the meeting point of thought and action of scientists and researchers of various disciplines and a key component of this century’s technical progress [14,15,16]. In 1959, the idea of nanotechnology was proposed by Richard Feynman during a speech entitled, “Plenty of Room at the Bottom” [17,18,19]. His theory stated the possibility of direct manipulation and arrangement of molecules and atoms in the near future. The technical committee of RILEM in a report entitled TC 197-NCM has investigated the use of nanoparticles to improve the durability and mechanical characteristics of cement composites [20]. Nanotechnology studies the properties of materials smaller than 100 nm and their usage. Because the properties of concrete and CM are due to their structure in nano-dimensions, there are hopes for the use of nanotechnology in improving concrete’s mechanical properties (such as compressive strength, tensile strength, impact strength, modulus of elasticity, creep, and shrinkage) and durability properties (such as durability against the chemical attacks of sulfates and chlorine ions, durability against the cycle of thawing and freezing, and durability against the phenomenon of carbonation). As shown in Fig. 1, nanotechnology has made significant advances in recent years.

Fig. 1
figure 1

Timeline of nanotechnology progress

Nano-silica (nS) is used in construction applications. The nS present in concrete and CM reacts with lime during cement hydration, and C–S–H gel is formed after this reaction, which leads to improving concrete’s mechanical properties and durability [21]. According to a review study by Mohtasham Moein et al. [22], nS enhanced 15 key properties of concrete, namely: (1) slump, (2) compressive strength, (3) flexural strength, (4) tensile strength, (5) impact strength, (6) water absorption, (7) chloride penetration, (8) carbonation, (9) acid attack, (10) sulfate attack, (11) freeze and thaw, (12) electrical resistivity, (13) elevated temperature, (14) shrinkage, and (15) microstructure. In some research, it was observed that the use of nS increases the packing of particles [23]. In addition, the presence of nS can improve the hydration rate of cement, which in turn lowers the dormant period and time of setting [24]. Another advantage of nS is that it can reduce the porosity of concrete and create a denser surface transfer zone and also prevent degradation [25, 26]. The use of nS can also be an effective factor to reduce CO2 from concrete products, and it can provide more affordable concrete [27, 28].

Nano-TiO2 (UFTiO2) is a semiconducting photocatalyst, which can create self-cleaning properties. UFTiO2 is a useful material present in a wide range of materials. For example, UFTiO2 is used in paints, glasses, cosmetics, cement, wallpaper materials, and ceramics [29, 30]. Concrete and CM containing these nanoparticles are safe from the adverse effects of sunlight and pollution. Also, UFTiO2 in the pavement field can be an effective factor in gas decomposition caused by vehicles [31, 32]. In general, UFTiO2 enables the photocatalytic degradation of pollutants (such as VOCs, CO, NOx, aldehydes, and chlorophenols) [33]. The UFTiO2 is an engineered material that has the potential for a unique beneficial reaction with an external stimulus [34]. Minimizing the number and refinement of these pores’ sizes can greatly increase the structures’ service life. The UFTiO2 is used as a material with a high surface area that can be used as filler. The surface of these particles facilitates the formation of Ca(OH)2, and on the other hand, it is the place of C–S–H nucleation. Thus, decreasing the porosity of the matrix may lead to less permeable concrete, which significantly affects the structure’s serviceability.

Figure 2 shows the hydration reaction models of mixtures without and containing nanomaterials (nS and UFTiO2). C–S–H seeds are obtained from the adhesion of nanoparticles to the cement paste in the early ages, and then C–S–H gel is gradually obtained [35]. During the hydration reaction, nano-silica (nS), by consuming Ca+2, causes the formation of C–S–H seeds. The hydration process is therefore accelerated through the seeding process. By consuming C2S and C3S by nS, higher amounts of C–S–H and CH gel are produced. CH can also undergo a pozzolanic reaction with nS, which can reduce CH in the next steps. The nS is able to reduce the porosity of C–S–H gel by its function [36]. The reduction of harmful pores by nS can be because nS provides the basis for the formation of ettringite with a more network structure between cement particles. The hydration rate of cement in the presence of nano-titanium oxide (UFTiO2) improves to some extent, but it is less powerful compared to other nanomaterials in this field [32]. The ability of nucleation effect from UFTiO2 is not favorable, and this can be due to the lower tendency of UFTiO2 to consume C2S and C3S [37]. In addition, the presence of UFTiO2 can slow down the precipitation of CH, which brings an increase in porosity at the age of 1 day [38], but with the passage of time and the deposition of UFTiO2, the density of the cement paste increases due to the seeding and filling properties.

Fig. 2
figure 2

Hydration reaction models

One of the side products of the ferrosilicon and silicon industry is silica fume (SF). The size of silica fume particles is such that more than 95% of them are smaller than 1 µm. The shape of silica soot particles is spherical and has a large percentage of amorphous silicon dioxide, and small amounts of magnesium, iron, and alkali oxides [39,40,41,42,43]. We can mention the following benefits of using silica fume in concrete [40, 44, 45]: (1) increased toughness, (2) improved durability, (3) increased abrasion resistance, (4) high compressive strength at early ages, (5) improved tensile strength, (6) improved flexural resistance, (7) very low permeability against chloride and water penetration, and (8) improved electrical resistance.

Significance of the investigation

This study was designed to investigate the behavior of CM containing nanomaterials and pozzolans in separate and combined use. From the family of nanomaterials, nS (due to high popularity) and UFTiO2 (due to few studies) were chosen, as well as from the family of pozzolans SF (due to high popularity). Table 1 shows the existing gaps regarding the materials considered for CM. Although many studies have been conducted on the impact strength of concretes containing SF and nS, no studies have been conducted on CM containing these types of materials. This test is important for these reasons: (1) Concrete elements are exposed to short-term dynamic loads during their service life (including shocks caused by earthquakes, bullets, missiles, etc.), and (2) the type of behavior of concrete elements against loads short-term dynamic is completely different from a static state. Also, a two-parameter Weibull distribution was used to analyze the data obtained from the impact test. According to Table 1, for the combined phase of materials (SF + UFTiO2 and nS + UFTiO2) no study has been done by other researchers. In general, the objectives of this study include: (1) investigating the mechanical characteristics and durability of CM containing nanomaterial and pozzolan (in separate and combined phases), (2) investigating the impact behavior of CM (using two-parameter Weibull distribution), (3) micrographs investigation in order to find the relationship between the microstructure and properties of cement mortars containing nano-silica, silica Fume, and UFTiO2. In other words, using pozzolanic additives and nanomaterials to improve the characteristics of CMs toward eco-friendly construction materials and reducing the cement content while preserving mechanical properties of the CMs are the main objective of the present study. The methodology of this study is shown in Fig. 3.

Table 1 Items reviewed and not reviewed by researchers on the subject
Fig. 3
figure 3

Methodology

Research background

In recent years, various studies have investigated the separate use of SF or nS in cement mortars, but there are still tests such as impact tests that have not been addressed. Also, the use of SF or nS in combination with other materials (both pozzolanic and nanomaterials) has been investigated, with the difference that the combination of these materials with UFTiO2 in cement mortars has not been investigated.

Gesoglu et al. [54] studied the mechanical properties of ultra-high-performance concrete mixtures containing nS and SF which were evaluated. The results show that incorporating 2% nS by cement weight is optimum with the highest compressive strength. In a study by Nili and Ehsani [55], ternary cementitious composites containing nS and SF show high compressive strength, which then was related to the dense matrix and ITZ induced by these particles. The SEM micrographs show no observable porosity at the ITZ. Research shows that for replacement values below 2%, the addition of nS improves the properties of cement composites [56,57,58].

In general, studies conducted with the aim of investigating the role of UFTiO2 in cement composites show improved properties. An experimental study on the physical properties of nano-UFTiO2-containing cement composites by Li et al. [59] reveals that the abrasion resistance of the composite improves in the presence of nano-UFTiO2. Diffusion of chloride and scouring are the two most important causes of deterioration in marine environments, and a study carried out by Li et al. [60] shows that UFTiO2 can positively affect the microstructure of cement composites and reduce the porosity so that both chloride diffusion and scouring can be minimized. Rao et al. [61] added nano-UFTiO2 and nS to self-compacting mixtures and observed that in high concentrations of nS, mechanical strengths, especially flexural strength, decreased while the composite’s water absorption increased. By using nano-UFTiO2 and nS in recycled-aggregate concrete, Ying et al. [62] reduced the diffusion of chloride ions, which stems from the pore refinement phenomenon induced by nanoparticles. More research about the addition of nano-TiO2 resulted in a better performance compared to that of plain concrete [62, 63].

The capabilities of SF caused researchers to conduct numerous studies on its application in the construction industry. Karthikeyan et al. [64] improved the compressive strength of concrete by adding silica fume in conjunction with ultra-fine TiO2. Madani et al. [65] suggest a replacement value of at least 3% for SF to obtain the optimum mix design for eco-friendly concretes made with silica fume and Pumice. Studies by Pedro et al. [66] and Mastali and Dalvand [67] examine the use of SF as a partial replacement for cement in HPC and self-compacting concrete, respectively. Several studies have examined the effect of SF on various properties of concrete. Song et al. [68], Ali et al. [69], and Lin et al. [70] investigated the permeability of SF concrete. Siddique [40], Singh et al. [71], and Mansoori et al. [12] discussed the water absorption of SF concrete. Mazloom et al. [72], Tanyildizi et al. [73], Saradar et al. [43], and Wu et al. [74] conducted studies on the compressive strength of SF concrete. The results of using various percentages of SF in prior studies are briefly reported in Table 2.

Table 2 A brief report on the effect of using silica fume in prior studies

Experimental program

Materials

The cement used in this study was Type I-42.5, produced by Hegmatan Cement factory, which met the standard specifications of ASTM-C150 [75]. The specific gravity and fineness of the cement were 3.15 and 3250 cm2/g, respectively. Silica fume, produced by Shimisakhteman company, was used as a partial replacement for cement in mixed proportions. The silica fume met the standard specifications of ASTM-C1240 [76]. Table 3 shows the chemical composition of silica fume and cement. Silica sand, supplied by Parssilis company, was used as fine aggregates. The silica sand passed sieve number 30 (smaller than 600 microns) according to ASTM C778 [77]. Polycarboxylate-based superplasticizer, produced by Shimisakhteman company, was used as a water-reducing agent and retarder. The superplasticizer met the standard specifications of ASTM-C494 [78]. Ultra-fine TiO2, supplied by Notrino company, was used in mixed proportions. The diameter of the TiO2 particles was about 200 nm. Nano-silica, supplied by Isatis Yazd company, was used in this study. The diameter of the nano-silica particles was about 15 nm. Table 4 presents the properties of nano-silica and UFTiO2.

Table 3 Chemical characteristics of cement and silica fume
Table 4 The properties of nano-silica and UFTiO2

Mix designs

Fabricating, molding, and curing were performed in accordance with the requirements of the ASTM C109 [79] test method. First, cementitious materials including cement and silica fume (if applicable) or nano-silica (if applicable) were mixed for about one minute to gain a homogenous mixture of dry materials. Then, the silica sand was added, and the mixing continued for another two minutes. UFTiO2 was added gradually to the dry mix and the mixing proceeded at a high speed. The blend of water and superplasticizer was added at the end, and the speed of mixing was slowed for about one minute until the paste formed. Finally, one-minute mixing was performed at a high speed. The slump flow measure for all mixtures is maintained under 110 ± 10 mm. Figure 4 shows the timeline of making the mixtures. SF and nS for their pozzolanic reactions and UFTiO2 for its participation in hydration reactions were considered as cementitious materials. In all mix designs, the water-to-cementitious material ratio (W/CM) was considered constant (0.38) to prevent the loss of mechanical strength, which occurs as a result of increasing the ratio. In all mix designs, the water-to-cementitious material ratio was considered constant to prevent the loss of mechanical strength, which occurs as a result of increasing the ratio. Moreover, keeping this ratio constant would simplify the industrial application and provide enough water molecules for secondary reactions alongside the hydration such as pozzolanic reactions of SF and nS. According to the use of different cementitious materials (silica fume and nano-silica) and TiO2 in mix proportions, however, to obtain mixtures with desirable workability, a superplasticizer was added in different volume percentages. After the mixing procedure and slump flow test, the prepared fresh mixture was poured into molds in three layers. Each layer of fresh mixture was compacted by the standard rod through pounding for 32 times. Finally, the surface of the mold flattened with spatula and covered by plastic sheets and kept in moist room in standard lab conditions for 24 h. After 24 h, the samples were removed from the mold and placed in water for curing (23 ± 1 °C). Table 5 shows the composition characteristics of mixed designs of this study. A total of 54 cubes (50 mm edges), 54 prisms (40 mm × 40 mm × 160 mm), 72 cylinders (200 mm × 100 mm), 18 plates (100 mm × 100 mm × 20 mm), and 12 cylinders (150 mm × 300 mm) were prepared in this study.

Fig. 4
figure 4

Timeline of making the mixtures

Table 5 Mix designs

Replacing cement with additives such as silica fume considering the environmental impact of both materials (cement as a major source of CO2 and silica fume as an industrial by-product), the replacement of cement and reducing its content in cement composites while maintaining or improving characteristics of the mixtures could help reduce total eCO2 of the mixture [80, 81]. Furthermore, nanomaterials such as nS can significantly improve the mechanical and physical properties of the CMs which supersedes the drawback of environmental issues associated with nanomaterials [22]. UFTiO2 plays more than mechanical improvement on CMs and has pollution treatment benefits which beside the reduction of eCO2 can add functional values like self-cleaning properties to the surface of this composites [82, 83].

Tests

Figure 5 shows a complete description of this study’s experiments and details. The tests considered in this study include (1) compressive strength, (2) flexural strength, (3) electrical resistivity (4) abrasion resistance, (5) impact strength, and (6) Microstructure analysis.

Fig. 5
figure 5

Description of tests and details

Compressive strength

The test was performed based on the ASTM-C109 [79]. The compressive strength of cubic specimens with 50 mm × 50 mm × 50 mm dimensions was measured at different ages (28,56 and 90 days). In order to achieve reliable data on compressive strength of mixtures, three tests performed for each mixtures and age of testing. The average of the three tests was calculated and reported in compliance with the standard.

Flexural strength

According to ASTM-C348 [84], the three-point bending test was used to measure the flexural strength of the prisms (40 mm × 40 mm × 160 mm). The test was conducted on three specimens per mix design at 28, 56, and 90 days, and the average results were reported. The loading area span length and the loading rate were 140 mm and 2 mm/min, respectively.

Electrical resistivity

This test was performed according to AASHTO TP 119 [85]. Since the result of the electrical resistivity measurement is highly dependent on the amount of water present, ion concentration of pore solution, and porosity of the composite, this test can be a decisive criterion for the durability of the concrete structures. There are two conventional methods for determining the electrical resistivity values of cement composites called the two-probe and four-probe (Wenner) methods. Both methods have been used frequently by investigators in the field [86,87,88,89]. Both methods have their own advantages and disadvantages [90, 91]; nonetheless, both are the most reliable methods used to investigate the electrical resistivity of cement composites. In this research, to measure the bulk resistivity of the specimens, the two-probe method was used. The electrodes were attached to two opposite sides of each prismatic specimen in a way that the specimen was sandwiched between the electrodes. The applied and measured voltage and current were recorded, and the specific electrical resistivity of the specimens was calculated using Eq. (1).

$$R = \, \left( {V/I} \right) \times \left( {A/L} \right)$$
(1)

Abrasion resistance

The test was performed based on the standards of the ASTM-C944 [92] test method. Since the standard states that the specimens can be in any shape and size, the specimens with dimensions of 100 mm × 100 mm × 20 mm were fabricated so that they can be accommodated by the abrasion device. After removing from the water tank, the specimens were air-dried and the surface was cleaned with a cloth, first the weight of the specimen measured with a scale possessing the accuracy of 0.1 g, and then, the test was done in a 2-min period. After determining the initial mass of a specimen, it was fastened in the abrasion device and the rotating cutter was mounted on the surface of the specimen. In 2-min increments, the surface of the specimen was cleaned with a brush and weighed with scale to measure the mass loss during each increment. The test was carried out on three different surfaces of specimens to gain an average of the mass loss of a specific mix design. Because of the mass loss measuring technique, the pure differential loss was calculated so the initial weight of the specimens was irrelevant.

Impact strength (drop-weight test)

Blast tests and projectile impact tests are methods for evaluating high-velocity impact tests [93,94,95,96,97]. The instrumented falling impact, the Charpy pendulum, and drop-weight tests are methods for conducting low-velocity impact tests [98,99,100,101]. The drop-weight test was performed according to the recommendation of the ACI 544 [102] committee. Figure 6 shows a schematic view of the drop-weight test device. The steel ball with a diameter of 63.5 mm is placed in the center of the upper surface of the disk. Then, repeated blows by a hammer weighing 4.45 kg from a height of 457 mm are applied to the disk. The two important items of this test include (1) first crack strength and (2) failure strength. The resistance of the first crack is recorded when the first crack is seen on the disk surface after repeated blows. After recording the first crack strength, the blows continue until the disk touches 3 of the metal lugs around it, in which case, the failure strength is recorded. The disk placed in the impact device has a thickness of 64 mm and a diameter of 150 mm, which is cut from a cylindrical sample of 300 mm × 150 mm. In this study, 2 cylindrical samples were considered, and a total of 8 disks were obtained for each mixture. Figure 7 shows a schematic view of the samples’ dimensions and the number of disks.

Fig. 6
figure 6

Impact device specifications

Fig. 7
figure 7

Description of the size and number of samples and disks

Results and discussion

Compressive strength

Figure 8 shows the results of the compressive strength of different joints at the ages of 28, 56, and 90 days. The comparison of separate phase mixtures (SFT0 and ST0) shows that SF mixtures have higher compressive strength than samples containing nS. In this regard, the SFT0 mixture presents 21%, 1.2%, and 12.6% more than the ST0 mixture at the age of 28, 56, and 90 days, respectively. This superiority of SF can be attributed to its particle size distribution. The size of the SF particles is in the range of 100–500 nm. This wide range of the particles’ diameter leads to a better reaction with the cement grains in different sizes and facilitates the moisture distribution inside the matrix. More complete hydration resulted, which in turn lowers the porosity and increases the strength. On the other hand, nS particles are all the same size, and due to their fineness and high reactivity, they chemically react with the very fine cement grains, but coarse grains remain non-hydrated or semi-hydrated. When a great number of nano-silica particles agglomerate, their reaction with the lime of cement is delayed, and a considerable amount of water may be confined around this mass of particles and the porosity increases [21, 103]. The weak zone around agglomerated particles could be a zone for the formation of microcracks and eventually lead to the specimen’s failure. The lack of CSH growth in the areas of agglomeration and porous media of the area allows the accumulation of water molecules and formation of silicic acid which can initiate the chemical reactions and expansion (local stress) in this area. The forces generated by reactions eventually deteriorate the CSH structures and initiate microcracks [104,105,106].

Fig. 8
figure 8

Compressive strength results (28, 56, 90 days)

The examination of mixtures containing UFTiO2 at the age of 28 days shows that the compressive strength of the ST2.5 mixture has increased by about 14% compared to ST0 (10.5% at the age of 56 days and 8.5% at the age of 90 days). In addition, the comparison of the ST5 mixture with the ST0 mixture shows that the compressive strength increased by 11.77%, 12.78%, and 13.30% at the ages of 28, 56, and 90 days, respectively. Along with the very fine particles of nS, UFTiO2 particles enhance the packing density of the dry particles inside the specimen, which reduces the total capillary voids of the matrix. The high specific surface area of UFTiO2 particles provides sufficient space for the nucleation of C–S–H and also for the formation of Ca·(OH)2 crystals. Following the mentioned hypothesis, other possibility can be discussed about the role of UFTiO2 particles, which relates to free surface electrons of these particles and the facilitation CSH layers interconnection. The bonding of CSH gel among empty spaces of aggregates and improving binder quality of cementitious matrix with aggregates is another path to further improve the mechanical properties of CMs without participating in chemical reactions. In other words, it appears that UFTiO2 particles act as a mediator for development and attachment of CSH structures.

The addition of UFTiO2 to the specimen containing SF has led to a slight increase in compressive strength. The reason for this contradictory behavior of UFTiO2 in nS and SF mixtures might be that the addition of nS and UFTiO2 significantly affects the packing density of particles, while in SF-containing specimens, this effect is not comparably significant. In other words, wide-range particle distribution of SF increases compaction to a level that UFTiO2 particles nevertheless of their contribution to filling the voids, have less effect to bond the evolutionized CSH layers. This hypothesis is supported by few studies [107,108,109]. The results of compressive strength at 56 days show no significant increase in nS-containing specimens. This can be attributed to these particles’ high reactivity and fineness, which greatly facilitates the hydration process at early ages. It is assumed that for up to 7 days, the full hydration of nS and cement is achieved. On the contrary, the growth of strength between the ages of 28 and 56 days is more considered in the specimens containing SF. The gelling process of coarser SF particles in the vicinity of Anhydrate C3S particles of cement owing to the reaction equilibrium (2S + 3CH → C3S2H3) affects the essential CSH production between these ages [110]. Although the reactivity of SF is much higher than other supplementary cementing materials, the coarser size of SF particles compared to nS leads to hydration progress for longer periods. At 90 days, no significant increase is observed in either nS or SF-containing specimens. Due to their high reactivity, rapidly increasing the compressive strength at early ages seems to cause the specimens with nS to reach their full strength at 28 days, and the specimens containing SF reach the maximum strength at 56 days. Figure 9 shows the correlation between the compressive strength results of different ages of the mixtures. Examining the results of R2 shows that there is an acceptable correlation between the compressive strength results of 28, 56, and 90 days. The coefficients derived from correlation lines indicate the impact of age on compressive strength growth and the predictability of the results based on interpolation. The R2 value indicates how much of the data variation is explained by the regression model, from 0 (none) to 1 (all). In concrete analyses, R2 values are often used to assess how well regression models can predict concrete properties or behavior from experimental or test data [111, 112]. The R2 value of the regression model helps engineers and researchers to judge the fit of the model to the observed data. A high R2 value means that the model reflects the relationship between the predictor variables and the concrete properties well. A low R2 value shows that the model does not account for the data variation well and may need more refinement or alternative models.

Fig. 9
figure 9

Correlation between compressive strength results of different ages: a SFT0, b SFT2.5, c SFT5, d ST0, e ST2.5, f ST5

Flexural strength

Figure 10 shows the flexural strength results of different mixtures at the ages of 28, 56, and 90 days. Examining the separate phase mixtures (SFT0 and ST0) shows that the mixtures containing SF have higher flexural strength than the mixtures containing nS. The flexural strength of the SFT0 mixture at the ages of 28, 56, and 90 days was 5.8, 6.1, and 6.2 MPa, respectively, and these values were reduced by 29.31%, 34.42%, and 32.25% for the ST0 mixtures, respectively. The mechanism of specimen failure under compression and flexural differs, and it is believed that the failure under a flexural force depends highly on the ITZ and capillary pores inside the cement matrix. Since the replacement value for nS even at the optimum percentage (experimentally obtained and utilized in mix designs based on compressive strength results) leads to the agglomeration of particles, lower results for mixtures containing nS are inevitable. Capillary pores around the agglomerated particles are vulnerable under flexural and can be a zone for microcrack formation. When subjected to flexural, the propagation of one crack can lead to the failure of the specimen, but the mechanism is different in the compression case, where the propagation of numerous microcracks eventually causes the failure. Thus, when cracks are formed around the agglomerated particles, the failure of the specimen occurs at lower loads. It is expected that when an optimum amount of nS replaces cement, the specimens experience higher flexural strength. On the other hand, 20% of the cement has been replaced with SF, which also can be considered a high replacement percentage, but it seems that the addition of SF has led to the maximum density of the cement matrix and decreased the number and connectivity of the capillary pores to the minimum. The reactivity of silica fume particles that results in a dense microstructure and filler effect of these particles reduces the porosity and consequently increases flexural strength. Also, the capillary effect of the wall of the SF particles facilitates the distribution of moisture inside the matrix and enhances the hydration process, leading to fewer capillary pores. It is expected that, in higher replacement values of SF, the agglomeration phenomenon occurs and the flexural strength is negatively affected by the increase in porosity.

Fig. 10
figure 10

Flexural strength results (28, 56, and 90 days)

The addition of UFTiO2 positively affected the flexural strength of both SF- and nS-containing specimens. At the age of 28 days, the increase in flexural strength for SFT2.5 and SFT5 mixtures (UFTiO2 + SF) was 5.17% and 6.89%, respectively. In addition, the increase in flexural strength for ST2.5 and ST5 mixtures (UFTiO2 + nS) was recorded as 21.95% and 29.26%, respectively. The increase in flexural strength as a result of UFTiO2 addition is more significant in specimens containing nS, which can be attributed to the substantial increase in packing density in these specimens in the presence of UFTiO2. Higher particle size of UFTiO2 compared to nS particles fills the gap between nS and cement particle size which consequently increases packing density. Examining the trend of increasing strength from 28 to 56 days showed that no substantial increase is observed in the specimens containing nS, while the corresponding specimens with SF replacement showed an average 4% increase. This is due to the difference in the reactivity rate of these particles. In the case of SF, the reactions last longer, and at 28 and 56 days, the specimens still gain strength. In the case of nS, however, the reaction between cement and silica particles occurs at early ages. At 90 days, no significant strength increase is observed, which indicates that the contribution of high reactive SCMs, such as SF and nS, to the strength gain is far more significant at early ages. Figure 11 shows the correlation between the compressive and flexural strength of all the mixtures. As is observed, a linear correlation can be fit to the values with high R-squared values. This shows a relationship between flexural and compressive strength. However, complications in these correlations are sensible due to the difference between the influence of SF and nS.

Fig. 11
figure 11

Correlation between the compressive and flexural strength: a 28 days, b 56 days, c 90 days

Electrical resistivity

Figure 12 shows the electrical resistivity results of mixtures at different ages (14, 28, 56, and 90 days). Between 14 and 28 days, all the specimens experienced a substantial increase in electrical resistivity. For ST0, ST2.5, and ST5 mixtures, the increase in strength was recorded as 49.8%, 25.8%, and 27%, respectively. At early ages, due to the pozzolanic reactivity of nS, the dielectric phase of the matrix so-called C–S–H becomes denser, and the size and connectivity between capillary pores decreases; thus, an increase in electrical resistivity is observed. The connection of the pores plays a key role in the conductivity of cement composites. By evolving the hydration process, the connection between the pores is lost, and consequently, resistivity increases. Another noticeable point is that, by the addition of UFTiO2, the resistivity has increased slightly. At the ages below 14 days, the surface of UFTiO2 is a zone for the formation of Ca (OH)2, which contributes to a higher electrical resistivity. This process of consolidation around UFTiO2 particles probably depends on surface properties of these particles which facilitates the CSH formation and reorientation around aggregates and thus the closure of capillary pores. Thus, at later ages, the significance of UFTiO2 is not as high as earlier. The difference between the values of 28 and 56 days is not significant. The completion of chemical reactions between nS and cement at early ages can be an explanation for this phenomenon. Beyond 56 days, no substantial increase is observed. Comparing the results, the mixtures containing UFTiO2 (ST2.5 and ST5) exhibited higher electrical resistivity than the ST0. So compared to ST0, ST2.5 and ST5 mixtures showed an increase in electrical resistance by 24% and 30%, respectively.

Fig. 12
figure 12

Electrical resistance results (28 days)

Examining the mixture containing SF in Fig. 12 shows that the growth of resistance is significant until the age of 56 days, and after that the changes compared to the first 56 days period are insignificant. In this regard, for SFT0, SFT2.5, and SFT5 mixtures, the resistance was increased by 193%, 225%, and 196%, respectively. This increase is an indicator of the high pozzolanic reactivity of SF at this age. In fact, for up to 28 days, SF enters the pozzolanic reactions and greatly increases the products of the hydration process. The pore refinement enabled by SF also reduces the connection and, at the same time, increases the tortuosity of the pore solution path inside the matrix. These phenomena lead to a great increase in the resistivity of the composite. From the age of 28 days to 56 days, the mixtures of SFT0, SFT2.5, and SFT5 experienced an increase in resistance by 34%, 37%, and 42%, respectively. This shows the reactivity of the silica fume at this age. Although the pozzolanic reactivity of SF is not comparable to that of the early ages, these fine particles still contribute to increasing the resistivity by making the matrix denser. Lacking space for C–S–H growth, it is likely that unreacted SF grains are exposed to hydrated or semi-hydrated cement grains in the early days and initiate pozzolanic reactions at later ages. Between 56 and 90 days, the increase in resistivity is much slower than the ages below 56 days. With the addition of UFTiO2, an increase of 14.6% and 31.5% is observed for the specimens containing 2.5% and 5% UFTiO2 (SFT2.5 and SFT5), compared to that of SFT0 (14 days curing). The increase in resistivity as a result of UFTiO2 addition is more significant in the case of specimens containing nS. This can be due to the enhanced packing density of these specimens in the presence of UFTiO2.

Comparing the electrical resistivity results of the mixture containing SF and nS in Fig. 12 indicates that the resistance of SF mixtures shows significantly higher results. The low resistivity of the specimens with nS can be attributed to the agglomeration of particles or the particles’ poor size distribution. Although the addition of UFTiO2 has enhanced the resistivity, compared to the values of SF specimens, this increase is inconsiderable. The low electrical resistivity of specimens containing nS can be further investigated. The presence of UFTiO2 particles around the agglomerates of nS will improve the network of CSH by reducing the amount of free nS particles. On the other hand, the specimens containing SF showed high electrical resistivity due to the high pozzolanic reactivity, filler effect, and SF particle size distribution. From both Fig. 13a and b, there is a strong logarithmic correlation among the values. The trend of electrical resistance was accompanied by a significant increase at early ages, followed by a slow increase at ages beyond 28 days. It seems that at above 90 days, the curves will reach a plateau, perhaps due to the high pozzolanic activity of SF and nS, which make their contributions early. However, there are some practical implications which concern the water content that in industrial projects may vary substantially. So the rhythm of changing ER will change accordingly and new correlations will be required.

Fig. 13
figure 13

Correlation between electrical resistivity results, a SFT, b ST

Abrasion resistance

Figure 14 shows the results of abrasion resistance test for different mixtures at the age of 28 days. Compared to the ST0 mixture, ST2.5 and ST5 mixtures (containing nS and UFTiO2) recorded a 24% and 30% increase in mass loss, respectively. While the mass loss of ST0 is 176.6 g/m2, the mass loss of ST2.5 and ST5 is 220 and 230 g/m2, respectively. With regard to the initial weight of the specimens, 0.4% of the ST0 weight was abraded, while 0.5% and 0.57% of the weight of ST2.5 and ST5 were lost during the test. The decrease in abrasion resistance by adding UFTiO2 can be attributed to the role of nanoparticles and ultra-fine TiO2 particles. When an optimal amount of nS with a suitable size distribution is added, the empty space between the nanoparticles and the cement-laden nS becomes a likely zone for Ca(OH)2 crystallization. The abrasion resistance increases by the growth of Ca(OH)2 crystals. When the concentration of nS is high and the UFTiO2 is added, the fine UFTiO2 particles act as a filler and occupy the spaces between particles and minimize the empty space. This is followed by the growth of C–S–H as the main product of hydration, and the amount of Ca(OH)2 is minimized. The growth of C–S–H, which has lower abrasion resistance compared to calcium hydroxide, results in a mass loss greater than the binary cement composite containing nS. On the other hand, the addition of UFTiO2 has led to an increase in the abrasion resistance of the specimens containing SF. The SFT2.5 and SFT5 mix designs have shown a 51.5% and 31% decrease in mass loss compared to that of the SFT0. The mass loss of the specimens without UFTiO2 (SFT0) was 173.3 g/m2, while the two other specimens (SFT2.5 and SFT5) showed a mass loss of 83.3 and 120 g/m2. The total abraded mass of the specimens with 0%, 2.5%, and 5% UFTiO2 was 0.4%, 0.2%, and 0.28%, respectively. The role of UFTiO2 is different in the mixtures containing SF. It seems that the surface of the UFTiO2 particles is a zone for Ca(OH)2 crystallization. In fact, in a dense cement matrix in the presence of SF, there is not enough space for crystal formation and the surface of the UFTiO2 can provide for portlandite crystallization. The decrease in mass loss particularly for the surfaces containing UFTiO2, which can be applied for self-cleaning purposes, indicates the less pollution of the environment due to erosion. Furthermore, higher stability of the surface among the self-cleaning ability justifies the use of such surfaces as pavement materials. The optimum packing regarding SF particle size distribution provides the CSH layers stronger bonds with UFTiO2 particles, specially at the surface which leads to higher abrasion resistance. On the contrary, problems associated with nS lead to more unstable UFTiO2 particles at the CSH matrix and consequently the surface of the composite which decreases the abrasion resistance.

Fig. 14
figure 14

The results of the abrasion resistance

Impact strength (drop-weight test)

Figure 15 shows the results of the first crack strength of different mixtures. The SFT0 mixture has a first crack strength of 33 blows. Adding 2.5% and 5% of UFTiO2 to the mixture containing SF (SFT2.5, SFT5) resulted in recording the first crack strength of 32 and 36 blows, respectively. Also, the mixture containing 3% nano-silica (ST0) shows the first crack strength of 14 blows. For ST2.5 and ST5 mixtures, the first crack strength of 17 and 16 blows was recorded, respectively. Comparing the mixtures of SFT (containing silica fume) and ST (without silica fume) shows that silica fume improves the resistance of the first crack by 88 to 135%. SFT5 mixture with 20% SF and 5% UFTiO2 shows the best performance among other mixtures. Figure 16 shows the failure strength results of different mixes. The SFT mixtures containing 0% (SFT0), 2.5% (SFT2.5), and 5% (SFT5) UFTiO2 obtained the failure strength of 39, 37, and 43 blows, respectively. For ST mixtures containing 0% (ST0), 2.5% (ST2.5), and 5% (ST5) UFTiO2, 17, 21, and 21 blows were obtained, respectively. The comparison of SFT and ST mixtures shows the effect of using silica fume on failure strength so a 76 to 129% improvement in failure strength was achieved. Also, the combination of 20% silica fume and 5% UFTiO2 (SFT5) showed the best results among the mixtures in terms of failure strength.

Fig. 15
figure 15

Average first crack strength results

Fig. 16
figure 16

Average failure strength results

The impact strength of concrete depends on various factors, such as the type and amount of reinforcement, the curing conditions, the loading history, and the environmental exposure [113,114,115]. Silica fume, a very fine powder with a high content of silicon dioxide (SiO2), improves the impact resistance of concrete by two main mechanisms: physical and chemical. The physical mechanism involves the particle size and shape of silica fume. The silica fume soot particles are spherical and much smaller than the cement particles, so they can fill the gaps between them, lowering the porosity and permeability of concrete. This enhances the density and strength of concrete and makes it more resistant to cracking and spalling under impact load [116, 117]. The chemical mechanism involves the pozzolanic activity of silica fume. Silica fume reacts with calcium hydroxide (Ca(OH)2), which is a by-product of cement hydration, and forms calcium silicate hydrate (C–S–H), which is the main phase of concrete bonding [118, 119]. This reaction decreases the amount of Ca(OH)2, which is a weak and soluble compound, and increases the amount of C–S–H, which is a strong and insoluble compound. This improves the bond between the cement paste and the aggregates and enhances the cohesion and toughness of the concrete. The addition of UFTiO2 has different effects in the mixture of nano-silica and silica fume [22, 64, 120]. UFTiO2 may have a synergistic effect with nano-silica, as both of them can lower porosity and enhance concrete strength. UFTiO2 may have a competitive effect with silica fume, as both of them can use up Ca(OH)2 and influence the cement hydration process. In general, the effects of adding UFTiO2 in mixtures with nano-silica and silica fume depend on factors such as synergistic effects, particle interaction, and optimal proportions.

Table 6 displays various statistical variables of the data derived from the first crack strength and failure strength of concrete mixtures. The coefficients of variation for mixtures containing SF are lower than those for mixtures containing nS. Based on the studies of Rahmani et al. [121] and Mohtsham Moin et al. [122], this implies that mixtures containing SF have less variability than mixtures containing nS. The 95% confidence interval values for different mixtures indicate the range of impact resistance with a 95% probability [121, 123]. The Kolmogorov–Smirnov test (K–S test) was applied to verify the normality of the impact test data. According to the K–S test, the p values for different mixtures, if they are less than 0.05, mean rejecting the null hypothesis of data normality [121, 123, 124]. The results show that the p values for the mixtures were higher than 0.15, which confirms the normality of the data.

Table 6 Statistical variables for first crack strength, failure strength

Evaluating the first crack strength of concrete structures using tests such as the drop-weight test is essential for ensuring factors such as (1) structural integrity, (2) durability assessment, (3) design enhancement, and (4) quality control. By determining the first crack strength, engineers can design and construct concrete structures that can withstand anticipated loads and environmental conditions, while minimizing the occurrence of cracks and related issues. The first crack strength can be aligned with industry standards or specific requirements of a project in multiple ways. These include evaluating the project’s acceptance criteria, considering design factors, implementing quality control measures, adhering to performance-based specifications, and incorporating ongoing research and development efforts. The results obtained from drop-weight tests can provide insights into crack width, enabling engineers to design appropriate reinforcement and other measures to meet the required standards or specifications. Additionally, the drop-weight test can be utilized as part of quality control procedures during construction. In certain cases, project-specific requirements may rely on performance-based specifications rather than specific guidelines. In such instances, the first crack strength can serve as an indicator of performance, reflecting the structural behavior and durability of the concrete. It is important to note that correlations between the first crack strength determined from drop-weight testing and industry standards or project-specific requirements may be influenced by ongoing research and development activities. As new testing methods and performance-based criteria are developed, the interpretation and application of drop-weight test results may evolve to align with the latest advancements and industry practices.

The drop-weight test has several drawbacks. The test result can change considerably depending on the specimen characteristics, such as size, shape, notch depth, and bedding material [101, 115, 122, 125]. This means that the test conditions need to be very uniform and standardized to obtain reliable results [126]. This test requires a lot of specimens to get trustworthy results with a reasonable error margin. This makes testing expensive and time-consuming. This test does not consider the effects of strain rate, dynamic increase factor, and energy absorption capacity of concrete [126, 127]. These are the factors that affect the concrete behavior under impact loading in real scenarios. Therefore, some researchers [126,127,128] have proposed modifications to the ACI 544 test, such as using sand bedding, line notches, and different drop heights, to improve the accuracy and reliability of the test. However, these modifications are not yet widely used or standardized.

Weibull distribution analysis of impact test

The drop-weight test recommended by the ACI 544 committee has a high dispersion of results, which has been confirmed by many researchers [121, 122, 125, 129]. Concrete and cement mortar have inherently brittle structures [130,131,132,133], which can be one reason for the dispersion of the drop-weight test. Therefore, the use of statistical methods in this field can be effective in providing better test results. In recent years, researchers have used several statistical techniques to analyze the results of concrete impact behavior. Statistical methods, such as the Kolmogorov–Smirnov test [121, 122], Kruskal–Wallis test [122], Ryan–Joiner test [134], Anderson–Darling test [134], and normal probability [135], have been widely used by researchers. Recently, the Weibull distribution has been considered to evaluate the behavior of concrete against impact. Wallodi Weibull [136] introduced this distribution in order to investigate the behavior of materials that have inherently brittle structures. In the field of the drop-weight test, Weibull distribution can be used to obtain the minimum safety impact resistance of concrete, which can be a practical tool for structural design [101, 137].

The Weibull function (F(a)) for the impact resistance distribution is according to Eq. (2), and the cumulative distribution function is according to Eq. (3) [101, 138]:

$$F\left( a \right) = \frac{\beta }{{m - t_{0} }}\left[ {\frac{{t - t_{0} }}{{\gamma - t_{0} }}} \right]^{\beta - 1} \exp \left\{ { - \left[ {\frac{{t - t_{0} }}{{\gamma - t_{0} }}} \right]^{\gamma } } \right\}$$
(2)
$$F\left(b\right)=1-{\text{exp}}\left\{- {\left[\frac{t- {t}_{0}}{\gamma - {t}_{0} }\right]}^{\beta }\right\}$$
(3)

In Eq. (1), ß represents the shape parameter, ɣ represents the scale parameter, and t0 represents the location parameter, where t ≥ t0, ß > 0, and ɣ ≥ t0. Equation (3) is summarized as follows, and Eq. (4) is obtained [137]:

$${S}_{N}\left(a\right)=1-F(b)$$
(4)

where t0 is considered zero for brittle composites [139, 140]. Hence, by modifying Eq. (5), Eq. (6) is given below [137]:

$$S_{N} \left( a \right) = \exp \left\{ { - \left[ {\frac{t}{\gamma }} \right]^{\beta } } \right\}$$
(5)

The natural logarithm is taken from both sides of Eq. (5), and as a result, Eq. (6) is obtained [101]:

$$\ln \left[ {\ln \left( {\frac{1}{{S_{N} }}} \right)} \right] = \beta \ln \left( t \right) - \beta \ln \left( \gamma \right)$$
(6)

According to Eq. (6):

$$Y=ln \left[ln(\frac{1}{{S}_{N}})\right]$$
$$X=\beta ln(t)$$
$$\varphi =\beta ln(\gamma )$$

Finally, the linear regression equation is defined as follows [101]:

$$Y= \beta X-\varphi$$
(7)

Equation (7) presents the impact resistance by the two Weibull parameters. Using Eq. (7), it can be deduced whether the results of the drop-weight test (F1 and F2) follow the two-parameter Weibull function. The relationship between t and SN is according to Eq. (8) [101]:

$${S}_{N}= 1-\frac{i-0.3}{k+0.4}$$
(8)

where i represents the number of concrete disks, and K represents the total number of concrete disks for each mix. Figures 17 and 18 show the graph between Ln[ln(1/SN)] and Ln(F1 or F2) for the first crack strength and failure strength, respectively. The shape parameter (ß), which is the slope of the line of the linear equation, is obtained through the output graphs (Figs. 17 and 18). The scale parameter (ɣ) is also obtained from Eq. (9) [101]:

Fig. 17
figure 17

Weibull lines of F1 from linear regression

Fig. 18
figure 18

Weibull lines of F2 from linear regression

$$\gamma ={e}^{(-\varphi /\beta )}$$
(9)

Evaluation of impact resistance is done according to the required confidence levels through Eq. (10) [141]:

$${F}_{\mathrm{1,2}}=\gamma {( -{\text{ln}}\left({R}_{x}\right)}^{\left(1/\beta \right)}$$
(10)

Table 8 also shows the results of linear regression of different mixtures, which includes shape parameter (ß), scale parameter (ɣ), intercept, and R2. By examining the results of Table 7 as well as Figs. 17 and 18, the linear distribution of the output data from the drop-weight test is obtained. To confirm this issue, the results of the coefficient of determination (R2) output are used. The resulting R2 value for different mixtures is about 0.9 and almost close to 1. Statistics experts believe that a reasonable model is a model with a detection coefficient of 0.7 or higher [121, 125].

Table 7 Weibull parameters

Under different levels of reliability, first crack strength and failure strength were evaluated by the Weibull distribution, the results of which are reported in Fig. 19. Based on the confidence level of 0.8, the F1 values for the mixtures SFT0, SFT2.5, SFT5, ST0, ST2.5, and ST5 were obtained as 27, 28, 32, 10, 14, and 13 blows, respectively. The F2 values for the confidence level of 0.8 were obtained for SFT0, SFT2.5, SFT5, ST0, ST2.5, and ST5 mixtures as 35, 32, 40, 14, 17, and 18 blows, respectively. The value of R2 obtained from all mixtures is higher than 0.891; therefore, the impact resistance of mixtures containing nanomaterials can be evaluated from the proposed reliability curves with the required reliability. Scattered data from drop-weight tests can be analyzed by the Weibull distribution. Carrying out the drop-weight test requires significant money and time, but using the Weibull distribution can avoid these two factors and provide useful information to structural designers.

Fig. 19
figure 19

Impact strength corresponding to reliability level: a SFT0, b SFT2.5, c SFT5, d ST0, e ST2.5, f ST5

Previous studies [142,143,144] suggest that the Anderson–Darling statistical parameter is an appropriate criterion to assess the best fit among different models. Accordingly, a lower AD value for one model relative to other models indicates its superior fit [101, 137]. Figure 20 presents the AD values obtained from the impact data under normal, lognormal, and Weibull models for the first crack resistance and fracture resistance of concrete mixtures. The AD values demonstrate that the Weibull model outperforms the other two models. Table 8 provides a summary of other impact studies and their AD values. The findings of the current study are in line with those of other researchers reported in Table 8.

Fig. 20
figure 20

Anderson–Darling results for normal, log-normal, and Weibull distributions: a first crack strength, b failure strength

Table 8 Weibull distribution results of other studies and Anderson–Darling

Microstructure analysis

The hydration mechanism can differ greatly in the presence of supplementary cementitious materials, especially when highly reactive mineral admixtures such as silica fume and nS are incorporated into the cement composites. During the first hours of hydration, the difference arises from a phenomenon called the filler effect, which includes two major factors. First, cement grains are replaced with very fine particles, and more space will thus be available for hydration products to grow. Second, the high surface area of these SCMs is a suitable space for hydrate precipitation [147]. In such cementitious systems, during the first hours of hydration, C–S–H needles grow outward from the surface of grains, and then, by fully occupying the surface, C–S–H growth undertakes a new pattern. A dense inner product is formed, which is responsible for the strength and density of the microstructure. This mechanism is observed in Fig. 21a, b, and c in the specimens containing nano-silica (nS). Note that the micrographs were taken at different stages of hydration. In the first stage (Fig. 21a), “sheaf of wheat”-shaped C–S–H is formed on the surface [148]; then, (Fig. 21b) the surface is occupied by needle-shaped C–S–H gel, and finally, a considerable growth in the density of C–S–H is observed as the inner product starts to grow (Fig. 21c).

Fig. 21
figure 21

Formation and reshaping of CSH structure during the aging process of cement matrix in a 7 days, b 28 days, c 90 days

Beyond 1 day, it is believed that the hydration of different cementitious systems is similar to each other, and hence, no significant difference is observed in the microstructure. The relatively high reaction rate of SF and nS particles with portlandite, during the hydration of cement, accelerates the hydration rate and consolidation of cementitious matrix and the development of secondary reactions mostly happens inside the texture of CSH which probably is the main reason for difficulty in detection of morphologic changes after this period. The microstructural changes beyond 1 day are a subject for further research. It is reported that the water-to-cement ratio plays an extremely important role at this hydration stage for up to 6 days. Beyond 6 days, it is expected that hydration kinetics would be similar in different cementitious composites. Figure 22a and b shows the micrographs at 7 days; similar morphology is observed in specimens containing both SF and nS. This was expected according to the same water-to-cement ratio and similar chemical composition of SF and nS.

Fig. 22
figure 22

Intact particles of a silica fume and b nano-silica in cement matrix

From the standpoint of mechanical strengths, the interfacial transition zone is the key factor in high-strength concrete. This issue becomes important when flexural strength is considered. In the field flexural test, the failure mechanism is based on the formation and propagation of a crack, which is more likely to occur in the ITZ. Different samples showed similar mechanical properties, so it is expected that the characteristics of the ITZ region will follow the same trend and many similarities will be found. Figure 23a shows the interfacial transition zone of the specimen containing silica fume (SF). There is a narrow microcrack at the interface, but the microcrack has not propagated into the cement paste. Figure 23b shows the interfacial transition zone of a specimen containing nano-silica (nS). A stronger zone is observed at some sections, but at the bottom of the figure, a microcrack with noticeable width is observed, and at the top of the figure, the microcrack is propagated into the cement paste. These could be the reasons for the lower mechanical strengths of specimens containing nS.

Fig. 23
figure 23

ITZ gap between aggregate and cement matrix containing: a silica fume, b nano-silica

In terms of the substantial difference between the values of electrical resistivity, the most important factor is the capillary pores inside the cement matrix. When the density of the matrix decreases, the interconnected capillary pores grow and a direct path for the passing current becomes available. Figure 24a and b shows the cement matrix of specimens containing nano-silica (nS) and silica fume (SF), respectively. A denser and more uniform structure is observed in the case of the specimen with SF. In the specimen containing nS, the uniformity is not as sound as the other specimen and the density seems to be lower. Moreover, microcracks are seen, which can decrease the electrical resistivity. These microcracks contribute to the pore structures such as capillary pores and absorb water and free ions which affect inversely the electrical resistivity and decrease mechanical strength of the composite.

Fig. 24
figure 24

Cement matrix containing at 90 days containing: a silica fume, b nano-silica

UFTiO2 particles provide space for the growth of hydration products, but according to the fineness of these particles, there are always potential problems pertaining to their agglomeration. Figure 25 shows the agglomerated UFTiO2 particles. The hydrates are observed on the surface. The UFTiO2 particles are about the same size, and this could negatively affect the microstructure. Particles with proper size distribution may more effectively contribute to enhancing the microstructure of the cement composites. It is noteworthy that this was the only zone with agglomerated UFTiO2 particles. It seems that the hydration products have covered the surface of other UFTiO2 particles, and they are not observed in the micrographs.

Fig. 25
figure 25

Agglomeration of UFTiO2 inside cement matrix

Conclusions

Compressive strength

  • At all ages (28, 56, 90 days), the compressive strength of SF mixtures was higher than that of nS mixtures. While the compressive strength of the ST0 mixture at the ages of 28, 56, and 90 days was 43.4, 44.6, and 45.1 MPa, respectively, the SFT0 mixture obtained about 21% to 25% higher strength.

  • Mixtures containing UFTiO2 and SF (SFT2.5 and SFT5) result in higher compressive strength than UFTiO2 and nS (ST2.5 and ST5). While the compressive strength of the ST2.5 mixture at the age of 28–90 days shows resistance in the range of 49–50 MPa, for the SFT2.5 mixture, it was about 1.5–10% higher.

  • The addition of UFTiO2 to the sample containing SF led to a slight increase in compressive strength (4–7%), but a more significant increase was recorded in the samples containing nS (8–14%).

  • The larger particle size of SF compared to nS results in hydration progressing for longer periods. While nS mixtures usually reach their final strength at the age of 28 days, this behavior occurs for the mixtures containing SF at 56 days.

Flexural strength:

  • The flexural strength of the ST0 mixture at the age of 28–90 days shows the range of 4–4.2 MPa. Meanwhile, for the SFT0 mixture, this resistance range was about 42–52% higher.

  • The flexural strength of mixtures containing UFTiO2 and SF (SFT2.5 and SFT5) provides approximately 16% to 25% higher flexural strength than the mixtures containing UFTiO2 and nS (ST2.5 and ST5).

  • While the addition of UFTiO2 to the sample containing SF (SFT2.5 and SFT5) resulted in an increase in flexural strength of 1–7%, for samples containing nS (ST2.5 and ST5) it was recorded at 16.5–35%.

  • The percentage increase in strength of mixtures under the effect of curing age showed that from 28 to 56 days, there was no significant increase in mixtures containing nS, but for mixtures containing SF, an average increase of 4% was recorded.

Electrical resistance:

  • The electrical resistance of the SFT0 mixture at the age of 14–90 days shows a range of 59–226 kohm.cm, but for the ST0 mixture, this range was 90–96% lower. This significant difference was also maintained for SFT2.5/ST2.5 and SFT5/ST5 mixtures.

  • The growth of resistance from the age of 14 to 28 days was recorded for mixtures containing nS in the range of 25–50%, but for mixtures containing SF, an increase of 193–225% was obtained.

  • The addition of UFTiO2 to the sample containing nS led to an increase in electrical resistance by 24–30% at the age of 14 days, but for the sample containing SF, this increase was in the range of 14.5–31.5%.

Abrasion resistance:

  • ST0 mixture (contains only nS) compared to SFT0 mixture (contains only SF) results in about 2% more mass loss. A comparison of mixtures containing UFTiO2 shows a stronger difference.

  • The use of UFTiO2 in mixtures containing SF resulted in improved abrasion resistance, but not in the case of mixtures containing nS.

  • The amount of mass loss for the SFT2.5 and SFT5 mixtures was reduced by 51.5% and 31%, respectively, compared to the SFT0 mixture.

Impact resistance:

  • The impact resistance of mixtures containing SF gave better results than mixtures containing nS. The strength of the first crack for SFT0, SFT2.5, and SFT5 mixtures was 33, 32, and 36 blows, respectively. (These values were reduced by 46% to 57% for mixtures containing Ns.) The failure strength for SFT0, SFT2.5, and SFT5 mixtures was 39, 37, and 43 blows, respectively. (These values were reduced by 43% to 56.5% for mixtures containing nS.)

  • The investigation of Weibull distribution parameters shows the favorable results of this distribution for the impact strength of mixtures containing nanomaterials. In addition, the presented graph of impact resistance-reliability can be a practical tool for designers.

Industrial perspective

Cement composites with enhancing additives as functional materials can play a pivotal role in modern construction industries such as precast elements of bridges or panels on facades of buildings due to advantages like considerably reduced weight of the members and elevated service life. Besides the environmental benefits of complex and reduced cement binding materials for composites in civil engineering, added values such as self-cleaning properties of the surface of CMs by using UFTiO2 will justify the cost of these composites for urban applications specifically architectural goals.