1. Introduction
It has been estimated, around the world, that the requirement of cement will be expected to skyrocket to 4.42 billion metric ton at the end of 2021, which accelerates every year at a rate of 0.3%. India has become the second-largest consumer of cement after China, registering 328 million metric tons (MMT) at the end of 2019, which is anticipated to reach 379 MMT in 2022. An increase in construction activities consumes enormous amounts of raw materials, producing drastic environmental impacts in various ways [
1]. On the other hand, the worldwide market for aggregates was 51.7 billion tons at the end of 2019, with an annual growth rate of 5.2%. It is, therefore, essential that scientists, engineers, and researchers find new alternatives for the ingredients of concrete. Even though thousands of studies have been conducted all around the world, it is quite difficult to find a unique alternative based on the varying requirements [
2].
As a result of thousands of studies, self-compacting concrete (SCC) experienced an early growth in the field of construction and is utilised in most high-rise constructions with exceptional deformability and segregation resistance [
3] the prime advantage of adopting SCC in the field is to eliminate the use of vibrators which compact themselves among congested reinforcements [
4]. Self-compacting ability in concrete was achieved because of the improved resistance to segregation between the aggregate and binder phase when the concrete flows through the complex forms of reinforcements. SCC has numerous advantages in the field of construction over the normal concrete, such as improved constructability, strength, durability and easier pumping without external vibrations through all areas of formwork [
5,
6]. However, SCC has a major drawback: the cost of construction is comparatively high when compared with normal concrete due to the use of auxiliary equipment for transportation and pumping [
7,
8].
e-Waste refers to electronic devices that are no longer used or desired, and are often thrown away or given away for reuse. These items can include computers, laptops, tablets, smartphones, TVs, and other electronic equipment. The rapid upgrading of technology produces excessive quantities of e-wastes (EWs) that are discarded directly in dump yards. The EWs do not decompose over time; therefore, these become suitable for use as treated materials. Around the world, India is the 5th biggest producer of EW and contributes 5% of the world’s overall EW generation. Over the years, numerous efforts have been undertaken to reduce the issues associated with the e-waste management and some of the researchers found that the use of treated e-wastes in concrete as aggregates is useful and reduces the problem of direct disposal of e-waste into the environment [
9,
10]. Using EW as a fine aggregate in concrete is a way to reuse and recycle e-waste, and it can also potentially reduce the demand for traditional aggregate materials, such as sand. PCBs are one of the most common EW, which are disintegrated into smaller pieces and proposed to be utilised as a fine aggregate, with a size of less than 4.75 mm, in concrete, and it is used to fill the voids between the larger coarse aggregate particles [
11]. There are several potential benefits in using EW as a fine aggregate in concrete. These include the reuse and recycling of EW, reduced demand for traditional aggregate materials, reduction in cost, and improvements in the strength and performance of the resulting concrete. PCBs are ground, using mechanical grinding equipment that is operated electronically, and added into the concrete matrix [
11].
The development of infrastructure was accompanied by new constructions with innovative and aesthetic appearances. Some of these constructions were built over the site of demolished structures. About 24% of the debris generated during demolition is dumped in landfills after the demolition of the structures; this is a practice that inevitably creates several socio-economic problems [
12]. This concrete debris could be recycled and reused for certain activities at the construction site; they are proposed to be utilised as an alternative to coarse aggregate in concrete. In M40 grade concrete, the best results could be produced with a mix consisting of 15% RCA and 25% steel slag, which could reduce the amount of waste disposed of in the site [
13,
14].
The replacement of fine and coarse aggregates in concrete was partly or entirely replaced with crushed PCB waste (0% to 20% at an interval of 5%) and recycled concrete aggregate (0% to 100% at an interval of 20%), respectively, in SCC mixes of grade M30. The proposed idea might result in lightweight concrete because its self-weight is reduced, and reduction in self-weight of ingredients of concrete would not compromise the self-compacting nature of concrete [
15]. The purpose of this study is to establish guidelines for the preparation of SCC mixes using fibres. The experimental design, contour and surface plots were used for predicting and optimising the parametric responses. The importance of this study is in the composition and proportion of the constituent materials in SCC.
While constructing high-rise structures, continuous or periodic application of loads on structures will cause serious damage and result in irreparable collapse. Addition of fibres in concrete increases the flexural strength and crack resistance against the periodic loadings [
16]. Vibrations can also cause the concrete to shrink, which can be avoided by incorporating polypropylene fibres (PF), which are incorporated into the concrete mix at varying proportions (0% to 1% at an interval of 0.25%) [
17,
18]. Based on the characteristics of concrete and fibres, the nature and performance of fibre-reinforced concrete (FRC) may alter [
19]. The conglomeration of fibres that hold a significant platform is fibre concentration, geometry, orientation, and distribution. Furthermore, the use of one type of fibre may only enhance the properties of FRC to a limited extent [
20]. The use of fibres in concrete specimens significantly elevates the toughness indices and rigidity and enhances their overall performances [
21].
The incorporation of three independent variables at varying levels will result in the execution of numerous experiments, which could aid in the pinpoint determination of significant results. In order to optimise the parameters, the response surface methodology (RSM) is predominantly used, a process in which the output response (dependent) is affected by several input parameters (independent) [
22,
23]. To identify the optimal operating conditions for the system specified in this study, CCD is employed, which is a full and fractional design, with the approximate relationship between input and output variables. The strength and durability properties of FRSCC from experimentally optimised and CCD-optimised mixes were compared with each other.
Research Significance
The construction industry and researchers have long been interested in finding ways to combine the positive benefits of different materials or techniques. Some recent developments in this area include fibre-reinforced concrete, self-compacting concrete, high-strength concrete, and self-curing concrete. The aim of this study is to find a way to combine the benefits of fibre-reinforced concrete and self-compacting concrete without sacrificing the performance of either. To achieve this, the researchers propose adding polypropylene fibres to self-compacting concrete mixes, which they believe will improve the strength of the material without hindering its ability to flow through complex, congested reinforcement areas. This approach could have significant benefits for the construction industry.
2. Materials
In this study, fibre-reinforced SCC (FRSCC) was created with a variety of ingredients that contributes to the specific characteristics of concrete. Generally, concrete is categorized into two phases: cement and aggregate phase. In the cement phase, OPC 53 grade acts as the binding agent, and fly ash (obtained from Mettur, Tamilnadu, thermal power plant) acts as a viscosity modifying agent. In the aggregate phase, aggregates consume more than 65% of the volume of concrete and make the concrete more rigid and compact. In this study, both fine and coarse aggregates were replaced partly or wholly with mechanically ground e-waste and recycled concrete aggregates, respectively.
2.1. Cement
Commercially available Portland cement of grade 53 compliant with the guidelines of IS 12269:2013, which has a high quicklime content, was utilised in this investigation [
24]. The physical properties investigated in this investigation are tabulated in
Table 1.
2.2. Fly Ash
Fly ash obtained from the combustion of coal as a by-product from the thermal power plant was utilised in this investigation, which conforms to the guidelines mentioned in IS 3812:2013 [
25]. The physical properties of fly ash investigated in this study are tabulated in
Table 2 and the element distribution values are shown in
Table 3.
2.3. Fine Aggregate
Due to the rapid growth in urbanization and industrialization, alternative materials for fine and coarse aggregate must be found. A fine aggregate in concrete is considered as the element that binds everything together and makes the concrete act as an artificial rock. It is highly responsible for the improvement of workability, uniformity of mix, thermal expansion and strength, and reduces the shrinkage effect, bleeding and segregation. In this study, naturally available river sand sufficiently small to pass through a 4.75-milimetre IS sieve was used as the fine aggregate, which is replaced partly by mechanically crushed and ground e-waste (EW) conforming to the standards set out in IS 383:2016. This study examines the various properties of the fine aggregate utilised in this investigation, which are summarized in
Table 4 [
26].
2.4. Coarse Aggregate
Coarse aggregates create a solid and hard mass of concrete with cement and fine aggregates, which consumes the majority of volume in concrete. In this study, naturally available crushed granite rock stones sufficiently small to pass through a 20-milimetre sieve and retained on a 12.5-milimetre sieve were utilised in this investigation. In order to reduce the problems associated with the quarrying of aggregates, it is proposed to utilise the recycled concrete aggregate in concrete after consecutive operations of primary and secondary dismantling. Hence, crushed granite aggregates (CGA) are replaced partly or wholly with recycled concrete aggregate (RCA), which are compliant with IS 383:2016, and the properties examined in this investigation are illustrated in
Table 5. Both the aggregates were from dust and other impurities [
26].
2.5. Polypropylene Fibres
Addition of fibres in concrete enhances the strength and stiffness, thereby reducing the porosity and permeability. In this study, polypropylene fibre (Recron 3S) was used as the synthetic mono fibre in the creation of fibre-reinforced SCC with a length and aspect ratio of 12 mm and 400 mm, respectively (
Supplementary Figure S1). This fibre is currently used by engineers as a short, discontinuous material for the manufacture of fibre-reinforced SCC. According to the calculation, fibre strength under axial tension and unit weight of fibre material are 655 MPa and 9.1 kN/m
3.
2.6. Chemical Admixture
In order to achieve the required slump, the designed mixture proportion must have enough workability to fulfil the required guidelines. The addition of materials that are not conventionally used in concrete may reduce the workability of the fresh concrete. When fly ash was used, the effect of grain size and particle size distribution play a vital role in deciding the workability of the concrete. To meet the requirement, chemical admixtures were used to attain the desired slump. The optimum dosage of SP is dependent on the type of SP and the water-to-binder ratio (W/B). To modify the workability of concrete, CONPLAST SP430 was used in all cases where 3% cement weight was required.
2.7. Water
During this investigation, the mixing and hardening of concrete was carried out with locally available potable water, used in accordance with the guidelines mentioned in IS 456:2000, which is free from harmful quantities of oils, acids, bases, salt, sugar and organic matter [
27].
4. Statistical Models
A two-level statistical experiment was exclusively designed to assess the impact of two diverse levels for each variable on the pertinent properties of SCC. Using a two-step factorial approach, we tested each variable a minimum number of times. In this study, three key parameters (RCA, EW, PF) have been described, and test trials were created. Since the expected response does not vary linearly with the selected variable, and to allow quantification of the prediction of responses, central composite design (CCD) was chosen, where the response could be modelled linearly, interactively, fully, and quadratic [
41,
42]. The CCD model is an integral part of response surface methodology. CCD optimisation models have two prime advantage: they more accurate and do not require a three-level factorial experiment for building a 2nd-order quadratic model [
43].
In light of the increasing error in response prediction, as the distance is increased from the centre of the modelled area, it is prudent to limit the practice of models to a range that is limited by values corresponding to limits (−α to +α). The parameters are carefully calibrated to achieve a CCD in which the effect of each factor has been carefully assessed at three diverse levels in coded values of −α, 0, +α. The strength of FRSCC at 28 days was given Equation (1), which is a full quadratic model [
44,
45].
where C
0 to C
9 are regression coefficients, A, B, and C indicate independent variables which are considered input factors, and CS indicates dependent variables which are considered as output response.
The study was conducted according to the CCD to predict the coded values of the design range of input parameters (see
Table 10), and the points were measured conferring to the design matrix; responses are shown in
Table 11. Responses were expressed using a polynomial equation as a function of the independent variables of the three parameters in Equation (1).
Khayat et al. (2000) carried out a CCD model with five factors: w/c ratio, cement, viscosity modifier dosage, superplasticizer dosage, the volume of fine and coarse aggregate content varied. Concrete properties at 7 and 28 days were examined for fresh and hardened concrete [
46].
As a result of the ANOVA for the quadratic model used in the CCD, the model’s F-value and
p-value are 14.52 and less than 0.05 implies that the model is significant. In this case, A, B, C, A
2, B
2, and C
2 are significant model terms.
p-Values greater than 0.10 specify that the model terms are not significant [
47]. If there are many insignificant model terms, the model reduction will expand the model. The predicted R
2 of 0.6866 is a sensible agreement with the adjusted R
2 of 0.8649, i.e., the variance is less than 0.2. Model precision measures the signal-to-noise ratio [
Table 12]. A ratio greater than 4 is desirable in CCD, whereas the model shows 11.626, which is an adequate signal [
48].
When the equation is written as a coded factor, it can be used to predict the response at certain levels of each factor. By default, the high and low levels of the factors are coded as +1 and −1, respectively. To categorize the comparative impact of factors over the factor coefficients, coded equations are used. The equation in terms of actual factors offers an indication about the response for given levels of each factor.
By comparing the predicted results with the actual results in
Table 13 and analysing the data in
Figure 5, it is possible to evaluate the accuracy of the proposed model or equation. The close correlation between the predicted and actual values suggests that the model has a strong relationship with the underlying data. This indicates that the proposed regression equation is a reliable representation of the relationships in the data. The contour and response surface plots are drawn against the input parameters such as RCA, EW, and PF content. They are useful to determine the optimum parameter responses and visualising the results of parameters in the statistical model so they can be better comprehended. The obtained plots are shown in the following figures that indicates the lowest compression strength are indicated in dark blue color, translation state from low to medium was indicated in light blue, green color indicates the medium compressive strength and peak compressive strength are indicates in red color.
The optimisation analysis was carried out using the developed mathematical regression model in order to obtain the optimal composition of RCA, EW and PF by considering the 28 days’ strength which is dependent on input variables.
Table 13 summarizes the optimum solutions determined by the software according to the set of optimisation criteria. From
Figure 6, the best solution of all the optimum solutions referred to the case of achieving the desired compressive strength at 28 days. While considering all three input factors, the desirability of achieving the target strength was merely close to 1. Based on the response surface plots and contour plots, the constituents of FRSCC were optimised with a highest desirability range of 0.94, which determines that 51.35% of RCA replacement, 9.90% of EW replacement, and 0.503% of PF addition exhibits improved results compared to the optimum results obtained from the experimental investigation. The optimised results obtained from CCD were experimentally validated again and shown in
Table 14.
It is observed that the predicted results are well-correlated with the experimental results and provide a stronger validation of (P/E) = 1 ± 0.1 in compressive strength of FRSCC.
Overall, statistical analysis has several benefits compared to experimental analysis. One advantage is that it tends to be quicker and more cost-effective, and it can be used to analyse large amounts of data. Additionally, statistical analysis can be applied to data from a variety of sources, including observations and naturalistic settings, while experimental analysis may have ethical limitations or require controlled conditions.