Metaheuristic Approach to Resolve the Real-World Problem of Binder in Concrete by Synthesizing Natural Iron-Rich Binder System Using Chemical Activation

,is research confirms the metaheuristic way using the novel method of synthesis of inorganic chemical activator binder just by replacing the Al ion to Fe ion by chemical activation in the matrix using Taguchi’s orthogonal array.,e laterite soil was made reactive using calcination processes, and the material used was Fe2O3; as a major source, it is then combined with aluminosilicate substances such as low calcium fly ash, and ground granulated blast furnace slag (GGBFS) and Alccofine individually are considered as binder materials, which are activated using alkaline and acid-based chemical activation. Furthermore, the outcomes using Taguchi’s optimization technique with the compressive strength behavior of each chemical inorganic polymer binder to evaluate the best suitable combination of binder with suitable activator are studied, and also, the molarity required for polymerization process is identified using the same.,is is found to be the most successful and economical way to solve the real-world problem of binder by preparing the binder system from the natural source and to control the greenhouse effect from the construction industry.


Introduction
Building materials are always in demand in the construction sector, especially in developing countries. To reduce our dependency on virgin materials, researchers are developing resource-efficient building materials [1,2]. Geopolymer is one such emerging approach towards green building materials. Geopolymer is an3D amorphous inorganic polymer, and it is produced when a hugely intense aqueous alkali hydroxide-silicate solvent is introduced to aluminosilicate raw materials such as slag, fly ash, and calcined clay [3]. Being energy-efficient and eco-friendly, geopolymers are gaining attention. During production, geopolymers release 80% less CO 2 than portland cement. ey exhibit attractive properties such as higher compressive behavior, lower shrinkage, faster setting, acid and fire resistance, and lower heat conductivity [4]. Some recent examples of geopolymers include manufacturing artificial sand by geopolymerizing fly ash and diatomite-based geopolymers. e material thus obtained is highly stable, chemical-resistant, hard, and adheres to different surfaces [5]. Geopolymers are alternative binders to ordinary portland cement (OPC) while producing mortars and concrete [6]. Replacing OPC with geopolymers favors low energy consumption and more carbon savings. e geopolymerization concept is ignited by Prof. Joseph Davidovits in 1978, changing the scenario of construction industry worldwide. His research significantly depicts that the acceptance of geo-based polymers can diminish the CO 2 release produced owing to cement productions [7,8]. e progress of geo-based polymer concrete is a significant stage against the construction of eco-friendly concrete [9]. Geopolymerization contains a chemical-based reaction amid diverse aluminosilicate substances by alkali metal silicates underneath sturdily alkaline circumstances producing polymer -Si-O-Al-O-bonds, leading to geo-based polymers via polycondensation. e most projected mode of action comprises the chemical reaction, which consists of the following process: (a) suspension of Si-Al particles from the raw substance via the hydroxide ion reaction; (b) transportation/condensation/orientation of predecessor ions to monomers; and (c) setting or polymerization or polycondensation of monomers to polymeric assemblies. ese 3 processes can therefore intersect with one another and create concurrently; occurrence of this is extremely problematic to segregate and individually evaluate each of them as well [10]. Geopolymers have two major components, such as the source and alkaline fluids. Extremely loaded in aluminum (Al) and silicon (Si) are the feed materials for geopolymers. ese might include components such as fly ash, silica fume, red mud, and rice husk [11]. As explained by equations (1) and (2), the pictorial development of geopolymer substance can be shown.
e use of concrete across the globe was second just after water. Ordinary portland cement (OPC) has been used traditionally to manufacture concrete as the primary binder. e environmental concerns linked by OPC manufacturing are very well established. e amount of carbon dioxide produced throughout OPC manufacturing related to limestone calcination and fossil fuel combustion is in the range of approximately one ton per OPC ton generated [12]. In comparison, only steel and aluminum are around the scope of energy needed for producing OPC. e immediate need to minimize CO 2 emissions is also urgent. Geopolymer is an innovative material developed with Si-and Al-rich materials such as blast furnace slag and fly ash by the polymeric process of alkaline liquid [13]. High tensile strength has also been noticed to be effectively attained in GPC compared with OPC in a shorter period of time, and GPC has great durability to acid and sulfate damage in comparison with OPC. It could be supposed that geo-based polymer concrete development has a comparatively high strength, superior stability in size, and excellent sturdiness [14]. e future alternative substance to ordinary portland cement can therefore be geo-based polymer concrete.
Lateritic soils and laterites, defined as matrix of Fe 2 O 3 -Al 2 O 3 -SiO 2 -H 2 O, are manufactured from kaolinite wherein Fe 2+ or Fe 3+ is substituted for a large proportion of Al 3+ . is substitution causes a major alteration of the kaolinite framework: a decrease in the crystalline phase and an improvement in the crystalline layer and aqueous phase, resulting in an enhancement in the susceptibility to chemical attacks [15,16]. Renewable goods must be sourced and manufactured locally utilizing natural energy, with marginal transportation costs and environmental impacts, requiring thermal performance, commercial feasibility, and lower energy in the production steps [17]. In this article, our purpose is to explain the geopolymerization method adjusted to the unique features of laterites. An appropriate production proposal is intended for durable and reliable inorganic material cements and coatings with strong mechanical properties, lower porosity, and higher density, accomplished in compliance with international standards on the depending specifications. It should be noted here and in the situation of laterites that although they actually imply a range of aluminosilicates, their response and action must be related to the extent of iron aggregation throughout polycondensation. Taking into consideration the compositions of hematite-corundum and goethite-diaspore, the solid suspensions of crystalline form iron-rich oxyhydroxides [18,19], and the replacement of hematite (Al-hematite) and Al 3+ in goethite (Al-goethite) was an alternate criterion to distinguish laterites as aluminosilicates, which may influence the typical geopolymerization process. For polycondensation, the framework of kaolinite previously disintegrated by iron aggregation must be favorable [20,21]. us, while in this study all the parameters mentioned here should not be explained, the hypotheses stated in the introductory section above are being used to establish geopolymer matrices verifying the successful variables impacting the geopolymerization. e current aim of research also attempts to validate that better geopolymeric substances could be produced as a connecting source of laterite or laterite soils of Fe 2+ and Fe 3+ .
1.1. Literature Survey. Geopolymers are a category of composites that usually contains a quasi-amorphous process of the matrix wherein grains are dispersed in 3D aluminosilicates. At ambient temperature or marginally larger temperature, the curing and strengthening procedures are achieved. Toughening reactions arise among aluminosilicate by-products and tightly regulated alkaline hydroxide and silicate aqueous solutions [10,17,18]. In the last three decades, geopolymers have received much interest. e usage of various aluminosilicates, such as fly ash [3,19], melted quenched aluminosilicates [22], metakaolin [20,21,23,24], volcanic scoria from molten mineral resources [25,26], and combinations of two or all components [9,27,28], has been the priority of many research articles on geopolymerization. e antagonism among hematite and kaolinite in the laterite matrix was detailed by Ambrost et al.: the corrosion of kaolinite is described through the total destruction of the hematite or goethite crystals that were assembled to thinner lamellar assemblies; the crystals created through Al-rich goethite or Al-rich hematite retain an exact trace and size of earlier platelets of kaolinite [12]. e asserted protons required to disintegrate kaolinite were also produced by a response comparable to oxidation-hydrolysis process in ferrolysis [4] throughout the deep layers with laterites fed via Fe 3+ solutions, but at the other side, it is been shown that implementations such as those of silica or kaolinite atoms have speeded up the precipitation of ferrihydrite from Fe 3+ solvents. e discharge of Al 3+ organisms into solvent and Fe 3+ hydroxide precipitation have been ascertained as two concurrent systems in the existence of kaolinite [29]. e rise in iron aggregation led, first, to the development of nodule nuclides that gradually develop with the quality of iron, and eventually, laterite concrete is established with amorphous silica that behaves as just a binder [30]. For Schwertmann, quick Fe release and lower organic molecule concentration favor hematite creation, whereas higher organic molecule concentration favors goethite [8]. Goethite is much more prevalent than hematite for kinetic purposes, and hematite, when it appears, however, does not stay hydrated to establish coarse goethite. It will be recommended that the major driver of iron migration and aggregation is the distinction in the shape of the pores that also appears to be magnified as a phase of concretion [31]. For Schellmann et al. [15], the synthetic and mineralogical outcomes have shown that main minerals are usually not completely dissolved, but slightly converted into more steady secondary substances, but at the other side, the chemical composition of laterites, as its framework already impacted, will improve the kinetic transition of kaolinite. e creation and transformations of ferrihydrite underneath diverse chemical conditions are discussed in numerous literature [32][33][34].
In this research, the main focus is given for the identification of the laterite powder in the reaction of making it into a solid product using the Joseph Davidovits techniques of geopolymerization. Different activator solutions with required molarity can be utilized along with the combination of binder sources to prepare the solid material. A Taguchi optimization technique is used to optimize the test of various variables in terms of binder combination, activator solution, and molarity. en, the samples are preserved at 60˚Celsius for 5 hours in an oven. e compressive strength, FTIR, XRD, and SEM image values of the samples are judged.

Compositions of Geo-Based Polymer Concrete.
Geopolymers have two major elements, such as the raw particle and alkaline fluids. Rich in silicon (Si) and aluminum (Al) are the raw substances for geopolymers. ese might involve substances such as fly ash, silica fume, red mud, and rice husk [11].
(1) Fly Ash. e by-product compound, fly ash, is received from thermal power plants by the burning of pulverized coal, as stated by Nawaz [35]. Currently, India's annual development of fly ashes is around 112 million tons and is projected to reach 225 million tons through 2017. e residue makes up 80% fly ash and 20% bottom ash if pulverized coal is burned to produce heat. If not handled properly, the disposal of fly ash in the sea/rivers/ponds could also affect aquatic life. Lagoons/settling reservoirs for slurry drainage may become breeding grounds and microbes. With quantities of radioactive metals found in fly ash, it could also infect the underground water supply. Over 80 percent of fly ash is often utilized in industrialized countries in different fields, where really fewer proportions in different segments have been used in India. Fly ash was such an instance that until decade ago in India was already viewed as waste products, and it has now appeared not just as an instructional material but as an environmental savior [36,37]. is bottom ash has been one of the prime components of alumina and silica. It also was observed that fly ash has strong possibility to employ in the building industry. ere are many uses for the transformation of fly ash through zeolites, such as ion exchange, molecular sieves, and adsorbents. Bioconversion of fly ash into zeolites is not just to ameliorate the issue of recycling; it also turns a waste product into a product that is valuable. In Table 1, the fly ash used throughout the chemical composition of this research is mentioned.
(2) GGBFS. Blast furnace slagging is a by-product generated from the manufacture of pig iron throughout the blast furnace and is primarily composed of sensitive silicates and calcium aluminum silicates and other components, which are successively processed in an igneous state with iron throughout the blast furnace. Whenever the molten slag in such a coolant pool is cooled down with liquid or chilled with powerful jets of water, it becomes a fine-grained, nearly entirely noncrystalline, misty called as granulated slag of latent hydraulic conductivity enabled by the use of alkali hydroxide and alkali silicates. Typically, ground granulated blast furnace slag (GGBFS) seems to be the only concrete part that includes substantial amounts of sulfide. To prevent a negative effect, the sulfide composition of the cement has to be established. For the chemical structure of GGBFS considered for this study, refer to Table 1.
(3) Alccofine. Alccofine is managed to grind the ultrafine GGBFS material; in particular, it is also the microfine particle substance that is smoother than that manufactured in India for cement, fly ash, silica, and several other cementbased substances. It has higher reactivity acquired via the regulated granulation process. e raw systems are produced mainly of GGBFS-like high-calcium silicates. Regulated particle shape results from processing with other selected ingredients (PSD). e PSD-based measured Blaine value is Mathematical Problems in Engineering about 12000 cm 2 /gm and is really ultrafine. Alccofine helps decrease water so for a faced major, also up to 70 percent replacement rate as per concrete efficiency specification, owing to its unique composition and ultra-molecular weight. Alccofine could also be utilized to increase strength properties or even as a super modifiability to aid to boost stream as a higher-range water stopper.
is one has been discovered that the usage of ultrafine slag not only increases high strength concrete power but also enhances the mix's reliability and elasticity.
(4) Alkaline Fluids. e mixture of NaOH or KOH with sodium or potassium silicate [38,39] is the most important alkaline fluid used throughout geopolymerization. Alkaline fluid plays an essential part in the process of polymerization. In contrast to the usage of only alkaline hydroxides, changes occur at higher rates when the alkaline fluid comprises soluble silicate, whether sodium or potassium silicate. e amount of sodium silicate as that of the alkaline activator to the sodium hydroxide solvent strengthened the response between the original source and the solution [40]. In addition, after a geopolymerization analysis of sixteen organic Al-Si minerals, the observed NaOH solvent usually induced a greater degree of mineralization than the KOH solution.
(5) Acidic Liquid (Orthophosphoric Acid). Phosphoric acid is indeed a triprotic acid that occurs as a dense fluid, also recognized as orthophosphoric acid. Milk, beef, poultry, shrimp, nuts, and egg yolks generally contain ingredients (0.1-0.5 percent) [41]. It is commonly used during fertilizer production, surface coating of metals, and also as a food additive. It is irritating and corrosive, yet it is normally known as nontoxic.
(6) Coarse and Fine Aggregates. Coarse and fine aggregate, typically commonly accessible, could be used for the development of geopolymers.

Materials and Methods
Natural iron-based material selected from laterite soil was collected from the Kottayam District of Kerala, India. e precursors ground granulated blast furnace slag (G) and Alccofine (A) were purchased from Ambuja Cement Industry [42]. Fly ash (F) of class F from Fly Ash Brick Manufacture Company, sodium hydroxide with 98% purity from Isochem, potassium hydroxide pellets with 98% purity from Isochem, silicate modulus 2.26 from Isochem, and orthophosphoric acid from Isochem are employed as an activator solution. Based on the silicate and aluminate present in the matrix, the variations in the chemical activation by Si/Al ratio from the percentage of the available reactive materials can be identified through the XRF test. e laterite soil is crushed in the grinding ball mill and allowed to pass in 90-micron sieve, and then, optimum activation temperature is identified as 700°C by various trials. For this work, laterite powder is calcined at 700°C for 2 hours. is calcined laterite (La) is mixed with fly ash (F), GGBFS (G), and Alccofine (A) individually (consider as source material) based on the required percentage as per the levels set in L9 orthogonal array of Taguchi's optimization method combination mentioned in Table 2. e percentages chosen are 10%, 20%, and 30%. Similarly, activator solutions chosen are NaOH with Na 2 SiO 3 (N) and KOH with K 2 SiO 3 (K) and H 3 PO 4 (P), which are added individually with source material as mentioned in the experimental combination in Table 2 with molarity (M) chosen as 5, 8, and 10. e optimization technique used is L9 (3^4) orthogonal array of Taguchi's optimization method with 4 parameters, and 3 levels are mentioned in Table 3. e calcination of laterite material is shown in Figure 1.
Sodium silicate solution and potassium silicate solution with silicate modulus of 2.26 and alkali hydroxide-to-alkali silicate ratio of 2.5 and acidic solution of orthophosphoric acid are used as the activator solution with stimulator to binder proportion of 0.55 to provide the primary binding effects for the synthesis of inorganic polymer products [43]. e fabricated products were cured at 60°C (oven), and after various trials for confirming the activation of material, to gain minimum strength, it is demoulded from the mould. Numerous formulations were designed and exposed to early-age tensile testing exemplifying these techniques.
Here, the binding materials are LaG-laterite powder and GGBFS combination, LaF-laterite powder and fly ash combination, and LaA-laterite powder and Alccofine combination. e proportion means 10%-10% percentage of addition of GGBFS or fly ash or Alccofine with laterite powder by weight based on combination obtained from L9 (3^4) orthogonal array, 20%-20% percentage of addition of GGBFS or fly ash or Alccofine with laterite powder by weight based on combination obtained from L9 (3^4) orthogonal array, and 30%-30% percentage of addition of GGBFS or fly ash or Alccofine with laterite powder by weight based on combination obtained from L9 (3^4) orthogonal array. e activator solutions are N-NaOH with Na 2 SiO 3 , and K-KOH with K 2 SiO 3 and P-H 3 PO 4 . e molarity of solutions used is 5M-5 molarity of NaOH or KOH or H 3 PO 4 based on combination obtained from L9 (3^4) orthogonal array, 8M-8 molarity of NaOH or KOH or H 3 PO 4 based on combination obtained from L9 (3^4) orthogonal array, and 10 M-10 molarity of NaOH or KOH or H 3 PO 4 based on combination obtained from L9 (3^4) orthogonal array. e stepwise procedure is as follows: After oven curing, the specimens are tested for compressive behavior on the third day.   Mathematical Problems in Engineering 5 (13) Compressive behavior study was executed with the help of unconfined compressive strength testing machine at the amount of loading 2.5 mm per minute as per the procedure mentioned in standard IS 2720 part 10 of 1991. (14) Based on the results, the optimization processes were carried out to find the best combination. From the obtained combination value, specimens were cast and the results were obtained. (15) e same combination was tried with 100% calcined laterite without the percentage proportion of additives for comparison.

Results and Discussion
For the cost-effective concrete mix design, Dr. Genichi Taguchi suggests the Taguchi design of the experimental method. Binder material with aluminosilicate and ferrous material is reacted with activator solutions of alkali and acidic activator with a different molarity. Molarity used is 5, 8, and 10 for all activators. Taguchi's optimization technique is used with various parameters, and levels are fixed. Samples are placed in oven to 60°C for 5 hours after various trials to confirm the activation of material to gain minimum strength to demould from the mould. Sample of size 2 cm × 2 cm × 2 cm was cast to find the compressive behavior of reacted solid material, which is tested by the unconfined compressive strength testing machine at the proportion of loading 2.5 mm per minute as per the procedure mentioned in standard IS 2720 part 10 of 1991. L9 orthogonal array is used with 4 parameters studied with 3 levels (L9 (3^4)). A larger better concept was accomplished to identify the signal-to-noise proportion using the following equation: 3.1. X-Ray Diffraction Spectroscopy. Laterite soil collected from the crushed laterite blocks is then sieved in 90 microns and collected to give heat treatment using the Muffle furnace to the temperature of 700°C for 2 hours. X-ray diffraction of calcined laterites was performed with a reflection Bruker AXS D8 Advance Debye-Scherrer diffractometry employing copper Kα radiation (λ �1.54056Å) and a graphite monochromator. e study extent was from 5°and 80°, by a stepping size of 0.04°and an achievement period of 2 s/step. e crystal stages present were exemplified by evaluation through International Centre for Diffraction Data (ICDD) Powder Diffraction File (PDF) records. XRD plot of calcined laterite soil is given in Figure 2.
In calcined laterites, the diffuse scattering feature initially appearing between 15°and 25°was shifted to appear between 20°and 40°after alkaline or acidic consolidation. is change is likely to be related to reactions between the calcined laterites and phosphoric acid or alkaline solutions leading to the creation of amorphous phases. Crystal-based mineral stages such as hematite, quartz, ilmenite, and anatase contained in the calcined laterites also remain after alkaline or acid consolidation. ey are either unaffected or partially dissolved in the acidic or alkaline-activating solutions. For laterite, the amorphous stage was both disorganized aluminosilicate assembly and an unstructured alumina hydroxide. e higher intensity and sharper bands from crystalline stages were disappeared after 30°, and the rest background disparities expose the prevalence of an unstructured stage.

Taguchi's Optimization Techniques.
For alkaline activator, Na 2 SiO 3 /NaOH ratio used is 2.5 and binder ratio proportion used was 0.55 for all the mix. Various parameters chosen for doing Taguchi's optimization techniques with L9 (3^4) orthogonal array are as follows.
(1) Molarity of the activator solution chosen is as follows: (i) 5 molarity as M5 (ii) 8 molarity as M8 (iii) 10 molarity as M10 (2) Alkaline activator chosen is as follows: (i) Sodium hydroxide and sodium silicate as N (ii) Potassium hydroxide and potassium silicate as K (iii) Orthophosphoric acid as P (3) Calcined laterite with various aluminosilicate-based additives chosen is as follows: (i) Laterite + ground granulated blast furnace slag as LaG (ii) Laterite + Alccofine as LaA (iii) Laterite + fly ash as LaF (4) Proportions of aluminosilicate additives added along with calcined laterite powder as follows: (i) 10 percentage as 10% (ii) 20 percentage as 20% (iii) 30 percentage as 30% Sample of size 2 cm × 2 cm × 2 cm was cast to find the compressive behavior of the reacted solid material that is tested by the unconfined compressive strength machine at the rate of loading 2.5 mm per minute as per the procedure mentioned in standard IS 2720 part 10 of 1991. A characteristic cube sample is depicted in Figure 3. It must be clear that the geopolymerization method delivers moisture, and thus, sticking is suitable for therapeutics of these synthetic binders.
Taguchi's optimization techniques with L9 (3^4) orthogonal array is chosen to find the suitable reaction with the combination of the activator solutions and proportions as per the experimental list shown in Table 2.
e failure pattern of cube after compressive behavior is given in Figure 4.
An unconfined compression testing machine was utilized to evaluate the compressive behavior of paste samples. Conservatively, data from a calculated test were employed to examine the mean purpose or response function. In Taguchi's method, the difference in the rejoinder was evaluated utilizing a suitably selected S/N ratio. In general terms, the proportion of the mean (signal) to a standard deviation seems to be the S/N ratio (noise). Variation depends on the optimal solution and the formula that are used to calculate the S/N ratio. 3 numbers of different S/N equations were also normally often used to categorize the objective function as follows: "bigger the better," "smaller the better," or "marginal the best." Although a bigger S/N ratio is often beneficial, irrespective of the nature of performance trait, the better options were adopted as per the idea of greater compressive strength to show greater reactivity.
e signal-to-noise ratio is obtained using the formula (3).In formula (3),"i" � number of a trial; "Y ij " � calculated value of quality feature for the ith trial and jth experiment; and "n" � number of iterations for the experiment. For every experimental circumstance, signalto-noise proportions were calculated employing (3) and are enlisted in Table 2. e factor impacts could be segregated in aspects of the S/N proportion and in relations of mean reaction, because the study data are orthogonal. Figure 5 represents the actual S/N mean values of four process parameters at each stage and selects the thresholds correlating with the largest S/N ratios in each of the parameters chosen to represent this same optimal condition. In this, maximizing the compressive strength corresponds to the optimal condition. To have access to the S/N assessment, the significant effect mostly on the response variable of the material properties will also be evaluated. e overall mean is defined as the average significance of a performance criterion at various levels by each factor. erefore, the average compressive behavioral values at the 3 stages for each factor have been evaluated and are shown in Figure 5.
e mean reaction study also shows the identical optimal range of the measurements derived in Figure 6 of the S/N profitability ratios. e final optimum combination chosen from the S/N ratio is largely better option as binder-LaA, percentage-20%, activator-K, and molarity-8 is achieved. With the above combination value obtained from the orthogonal design, was cast and obtained mean strength as 26 N/mm2 which is not having significant increment in strength.
is is because the orthophosphoric acid gets sudden solidification when added with the higher percentage proportioning with blast furnace slag, which results in the unevenness in the homogeneity in the cube casting, which   is influenced internal noise affects the obtained optimum value.
A similar combination is tried with calcined laterite material with different activator solutions of 8M that are mentioned in Table 4 for evaluation. e outcomes show a significant amount of reaction happened.

Fourier Transform Infrared Spectroscopy.
ese results are justified with the FTIR data obtained from optimized result, shown in Figure 7. At 1645/1650 cm −1 and 1388/ 1392 cm −1 , the FTIR spectrum possesses an absorption patterns referring to the winding and stretching fluctuations of H-O-H bonds of water derivatives dissolved or trapped in massive polymeric frame cavities [5,8,42]. e band gaps about 1400 cm −1 are possibly formed from efflorescence of the symmetric stretching of sodium carbonate C-O bonds [31,43]. At 3685/3658 cm −1 and 3612/3606 cm −1 , two distinctive groups of kaolinite are detected to suggest the existence of a tiny portion of kaolinite, which persists with alkali solution just after the reaction phase. ey are within the 997-1041 cm −1 interval but are due to the geopolymer gel's symmetric stretching vibration of Si-O-Si and/or Si-O-Al and Si-O-Fe. It leads to the phase of polycondensation contributing to gel geopolymer [18,32].
e Si-O-Al bond symmetric folding in kaolinite was attributed to the groups at 743 and 790 cm −1 and those at 789 and 690 cm −1 , respectively [35]. e wideband with such a maximum of 965-976 cm −1 in all geopolymer spectra is owing to the increasing geopolymer channel vibrations of Si-O-Si, Fe-O-Si, and Si-O-Al. e change was anticipated and is owing to the introduction into the silicate channel of tetrahedral Al [7]. e absorption at 665-685 cm-1 is owing to its tetrahedral channel's Si-O-Al (IV) stretching [8,41], but overlaps with both the kaolinite peaks at 690 cm −1 . e Si-O-Si (or Si-O-Al) symmetric stretch channel and Fe-O stretching vibrations in tetrahedral and octahedral locations were allocated to the frequencies at 389-432 cm −1 and 519-538 cm −1 . Figure 8 displays the X-ray trends of untreated, calcined laterite, and optimized samples. Kaolinite (34 wt percent), goethite (29 wt percent), and quartz (25 wt percent) are the major minerals throughout raw laterite. e secondary stages are hematite (8 wt percent), gibbsite (2 wt percent), anatase (1 wt percent), and illite (2 wt percent). Only hematite, quartz, and anatase exist as primary mineral stages with such a content of up to 70, 27, and 3 wt percent, respectively, after calcination. e greater hematite content is attributable to goethite dehydroxylation to the most soluble iron oxide Fe 2 O 3 throughout calcination [26]. e calcined laterites comprise crystalline mineral forms such as hematite, quartz, ilmenite, and anatase. After geopolymerization, parallel to the decrease in the cost of hematite and anatase, a rise of the quartz composition   38 wt percent is reported. e reduction in the relative quantity of hematite in the geo-based polymer specimen may suggest that partial reactions have occurred [18,23]. e enhancement in the relative quantity of kaolinite reflects the fact that the above appears inert in the framework and is not involved in the geopolymerization process.

Scanning Electron Spectroscopy.
e matrix illustrates the detachment of the geopolymerization products' microstructure, which has been intensified by the inclusion of a large percentage of laterite soil. is has been shown in Figure 9. Because of its semicrystalline composition, the laterites improve the likelihood of major crosslinking. e impact of   Mathematical Problems in Engineering residual pores, basically related to air particles, is relatively significant. e effect of these forms of permeability, nevertheless, becomes less pronounced now as the existence of laterites and the formation methodology used to significantly alter the expresses incorporated in the matrix material to fill space accessible within the laterite matrix concrete framework.

Conclusions
Optimization of process parameters was performed via Taguchi's optimization method. From this research, the minimum molarity of alkali hydroxide required is 8 molars to activate the laterite-based ferro-sialate with minimum of 60°C obtained with the help of statistical method. Iron-rich geopolymers or alkali-poly(ferro-sialate) of calcined lateritic soils as raw materials along with 20% of additives have been successfully produced. e presence of functional groups of Si-O bonds and Si-O-Al bonds and the presence of (alkali) (Fe-Si-Al-O) phase confirmed the geopolymerization of lateritic soils employed in our work. e addition of additives based on optimization results in a significant dense microstructure and improved mechanical properties. e laterite-based geopolymer contains both polysialates and ferro-sialates. e XRD results of geopolymer depict the existence of AlPO 4 and also FePO 4 as a by-product of geopolymerization reaction in phosphoric acid as activator.
e FTIR of geopolymer specimens depicts that the geopolymerization by-product has a polymeric Si-O-Al and Fe-Si-O and Si-O-Al-O-P structure in alkaline and acidic activator. erefore, the predictions created by Taguchi's constraint design strategy were in better agreement with the validation outcomes. Within the defined range of material criteria, the findings of the present examination were accurate alongside their preferred levels and for the particular arrangement of brick materials. It was shown that Taguchi's optimization technique is a promising tool for the pavement concrete mix design.

Data Availability
e data shall be made available on request to the corresponding author.

Conflicts of Interest
e authors declare that they have no conflicts of interest.