Introduction

The production and innovation of advanced materials that meet the demands of new applications represent a critical area of research in the manufacturing industry. Metal matrix composites (MMCs) are a notable type of composite material created by combining two or more components, resulting in superior properties compared to the parent materials. Typically reinforcing elements in MMCs include ceramic whiskers, continuous or discontinuous fibers, and particles1,2,3,4. These composites are increasingly recognized for their promising capabilities and are utilized across various industrial sectors, including automotive, aerospace, defense, marine, and electronics. The incorporation of hard particulates enhances operational performance and wear resistance5,6,7,8. In this research work, commercially available iron powder with a purity of 99.8% is selected as the matrix for fabricating a hybrid composite. Fine powder of vanadium aluminum carbide (V₂AlC) is utilized as the primary reinforcement material, while graphene oxide (GO) powder is added to control friction during the mixing and compaction processes, as a dry lubricant9,10,11,12. Iron-based reinforced MMCs are in demand due to their improved strength, high modulus and increased wear resistance compared to conventional iron alloys9,13,14,15. V₂AlC is a ternary nano-laminated hexagonal compound that belongs to the family of MAX phases, characterized by the general formula Mn + 1AXn, where M denotes the transition metal, A represents a metal, and X signifies carbon or nitrogen as presented16,17,18,19 in Fig. 1. These materials exhibit exceptional properties associated with both ceramics and metals, including a low friction coefficient, good electrical and thermal conductivity, excellent machinability, and superior resistance to oxidation and corrosion. V₂AlC stands out due to its lower density (4.81 g/cm3), high thermal conductivity (48W/m·K) and outstanding bulk modulus (215GPa). These remarkable physical properties, V₂AlC shows great promise for applications as tough wear resistant coatings and polycrystalline thin films across various substrates. Furthermore, research interest in V₂AlC ceramics is highlighted by the potential to obtain a two-dimensional carbide, V₂C M-Xene, through the selective etching of aluminum layers from V₂AlC20,21,22,23,24.

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Elements of the periodic table found in MAX phases and unit cell for n = 1,12.

The primary goal of mixing of these ingredients is to achieve a uniform distribution of reinforcement particles within the matrix metal powder. Factors such as compaction pressure, compaction speed, dwell time significantly affect the density, dimensional accuracy and mechanical properties of the green compact25,26,27,28,29. Lubricants like graphite or molybdenum sulfide are often employed between the die wall and the powder to facilitate die compression. The sintering process involves a heat treatment applied to the green compact at high temperatures, below the melting point of the primary constituent, in a controlled atmosphere. This process enhances the bonding between particles and increases the strength of the powder metal compact, resulting in the desired properties of the final product8. Additionally, post-sintering processes such as heat treatment, machining, surface finishing, and coating can further refine the properties and surface characteristics of the sintered parts30,31. An attempt has been made in this work to produce an iron-based metal matrix composite (MMC) reinforced with vanadium aluminum carbide (V₂AlC), incorporating a small amount of graphene oxide (GO) powder to control friction during the mixing and compaction processes, as GO is widely recognized as an effective dry lubricant for automotive and industrial applications. The fabrication of the iron-based MMC was carried out using powder metallurgy techniques, with the synthesis conducted under varying powder metallurgy (PM) process parameters and different weight percentages of reinforcing particulates. The study focuses on synthesizing and analyzing the effects of key PM parameters—such as milling time, compaction pressure, sintering temperature, and weight percentage of reinforcement—on the properties of the iron matrix with V₂AlC MAX phase. Additionally, the research investigates mechanical properties, including hardness and compressive strength, as well as physical properties like density. To determine the optimal values of these parameters, Multi-Response Analysis (MRA) and Genetic Algorithms (GA) will be employed. Various experiments and tests, including hardness and compression strength evaluations, will be conducted along with sample characterization using X-ray Diffraction (XRD) and Scanning Electron Microscopy (SEM). Another attempt has been made in this work to enhance the mechanical and metallurgical performance of the generated composites by integrating MAX phase materials like V₂AlC and utilizing GO as a lubricant, thereby addressing the need for materials with higher specific strength, hardness, and dimensional stability at elevated temperatures. MAX phase materials, represented by the general formula Mn+1AXn (where n = 1–3), consist of layered carbide and nitride compounds that have potential applications in structural and functional fields. Their unique properties make them ideal candidates for strengthening metal matrix composites, with significant technological applications identified in areas such as nuclear power, high-speed rail, gas igniters, heat exchangers, high-thrust rocket nozzles, electric brushes, metal refining electrodes, and high-temperature seals. In this work they found that addition of boron carbide particles to Al7075 alloy to enhance the composite’s hardness and tensile strength, which are required for critical automotive parts. The distribution of the B4C particles within the aluminium matrix leads to enhanced strength, reduced porosity, better strength-to-weight ratio. In other studies, it was shown that by integrating zirconium silicate into Al6063, the alloy shows significantly enhanced Impact, compression strength and impact strength with optimal results achieved at around 6% zirconium silicate content. The inclusion of B4C particles in Al6066 enhanced the composite’s resistance in dry sliding wear mechanism with higher B4C content correlating to reduced wear volume and improved Hardness due to the uniform dispersion of hard B4C particulates within the matrix32,33,34. In this research work they found that PETG’s tribological properties can be enhanced with reinforcement of carbon fibers or graphene, but in FDM PETG tends to wear faster than polymers due to its lower hardness. By Incorporating CeO2 and GNPs leads to enhanced hardness, notably composites containing 3 wt.% CeO2 and GNPs achieved considerable increases in hardness and overall mechanical strength. Recycling aluminium combined with using waste materials as reinforcements to produce lightweight and high-strength composites with improved mechanical and physical properties. This article reviews different recycling techniques, including mechanical grinding and powder metallurgy, relevant for converting aluminium waste into particulate reinforcements in matrix35,36,37. In this investigation, MXenes inherit many advantageous properties from their parent MAX phases, including electrical conductivity and mechanical stability due to their 2D layered structure to enhanced surface reactivity and greater ion accessibility in hybridization of MXenes with carbon materials such as graphene in metal oxides to enhances their electrochemical performance and stability38. In this work the presence of TiC crystals enhanced the coefficient of friction (COF) and wear resistance under load bearing test conditions. In Tribological tests reveals that the coatings perform better in liquid compared to air39. In this investigation hot press sintering, chemical vapor deposition and molten salt synthesis, which provide variations in temperature and pressure to optimize phase purity and microstructure. They have also revealed low temperature molten salt methods reduces synthesis temperature by enhancing diffusion and reaction rates leading to nanosized MAX phases to attain improved purity9. In another work the authors explored the effect of feed rate and metal cutting speed on cutting forces during machining of epoxy-based bio-composites reinforced with almond shell and coconut fiber particles. The biocomposites’ machining behavior depends strongly on the reinforcement content, with higher particle loads leading to increased cutting forces due to increased material hardness10.

Materials and methods

To ensure the appropriate selection of matrix and reinforcement materials for the intended research, it is crucial to possess a comprehensive understanding of the properties and applications of both the matrix and reinforcing materials. The Cast iron composition as given in Table 1, with carbon, nickel, chromium, and other elements.

Table 1 Composition of commercial pure iron.

Iron powder was chosen since it is stronger and suitable for a number of uses in the construction and automotive industries in order to function better in metal matrices by creating heat. Table 2 shows the pure iron powder that was purchased from Parshwamani metal manufacturers India, having an average particle size of (150 μm), density 7.874 g/cm3 at 25 °C and 99.99% purity used as matrix.

Table 2 Mechanical and physical properties of pure iron.

Vanadium aluminum carbide powder

Physical properties of V2AlC materials given in Table 3, possess spectacular performances associated with either ceramics or metals, such as excellent machinability, good electrical and thermal conductivity, low friction coefficient as well as superior resistance to oxidation and corrosion of these MAX phases.

Table 3 Physical properties of V2AlC.

Graphene oxide

Graphene oxide (GO), also referred to as graphite/graphitic oxide, is produced by treating graphite with oxidizers, and results in a compound of carbon, oxygen, and hydrogen in variable ratios.

Design of experiment for IMMC fabrication

In this work, a powder metallurgical process was used to prepare iron matrix composite samples reinforced with V2AlC/GO. Nine samples were synthesized and chosen for constant weight reinforcement ratio with different powder metallurgy process parameters, developed by L9 orthogonal array and the rest three samples had been manufactured with optimal process parameters for varied weight ratio as shown in Table 4, The powder metallurgy-based input process parameters (milling time, Compaction Pressure, Sintering Temperature and weight fraction of reinforcement. Whereas, for the rest four samples mentioned in Table 5, were manufactured with optimal process parameters based on previously manufactured and tested samples with better properties.

Table 4 Reinforced IMMC manufactured through powder metallurgy (sample 1).
Table 5 Reinforced IMMC manufactured through powder metallurgy (S2, S3, S4 & S5).

Powder mixing

In order to achieve the desired performance of the selected powders in the manufacturing of composites, mixing refers to the homogeneous blending of different types of powders, and it is essential to distribute them evenly throughout the matrix. This has been accomplished through the use of high energy ball milling machines. Zirconia balls shown in Fig. 2, are used to ball mill metal alloy powders in a high velocity chamber.

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(a) High energy mixer/mill machine (b) zirconium balls.

In this study 5% of V2AlC and 4% GO powder were mixed with 91% of pure iron in sample one for fabricated nine samples (three trial samples for each) with different powder metallurgy process parameters for first round and then 5%, 8%, 10% and 15% of V2AlC were mixed with 88%, 86% & 81% of pure iron respectively at constant 4% of GO for the rest four samples at optimal PM process parameters. A high energy planetary ball mill was used to mix the powder by using zirconia balls. The Milling Parameters used in the ball milling process are Milling speed: 200 rpm, Milling time: 1, 2 and 3 h, Ball diameter: 10 mm, Ball to powder weight ratio: 10:1, Temperature of milling (at room temperature).

Powder compaction

Powder compaction is the process of compressing the Fe-V2AlC-GO mixed powder in a mold using a hydraulic mounting press. The combined powder was accurately measured with a weighted balance. The powder mixture was pressed into a cylindrical shape (d = 12 mm, h = 20 mm) as shown in Fig. 3, using a carbon steel die using a hydraulic press with a load of 120 KN. Cold pressing was performed at a pressure of 50, 60 &70 MPa (Olani et al., 2023) and a holding time of 10 min. The density of compacted powders is directly proportional to the pressure applied.

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Compacted specimen (Green Part).

Sintering

The green compressed sample’s does not have sufficient strength and the particles are loosely bound together and may crash easily at low loads. After deformation, particle formation and growth, and cooling, the powders combine to form solid pieces as shown in Fig. 4a and b. During sintering, bonding occurs between agglomerated powder particles . After the manufacturing of composite materials those fabricated through different powder metallurgy process parameters (milling time, compaction pressure and sintering temperature) physical and mechanical properties were tested.

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(a) Green compact (b) sintered samples.

Density of composite materials

In this stage density were tested for developed nine samples (three trial for each) based on powder metallurgy process parameters. Density is a physical property of a material that describes its mass per unit volume. It is an important property of materials, particularly in engineering applications where weight and strength are critical factors. The composition and structure of the MMCs, as well as the manufacturing method used to produce them, can affect density. In this research, the density of the specimens was measured using the Archimedes method to identify the effects of powder metallurgy process parameters and reinforcements. As per ASTM B962-23, the surface roughness of the specimens was removed using 120-grit sanding, and surface pores were sealed by oil impregnation. The relation for calculating the density of the specimen by Archimedes method is as follows \({\uprho }_{\text{sample}}=\frac{{\text{W}}_{\text{Air}}\times {\uprho }_{\text{Fluid}}}{{\text{W}}_{\text{Air}}-{\text{W}}_{\text{Fluid}}}\), Where: \({\uprho }_{\text{sample}}\)=Sample density, \({\text{W}}_{\text{Air}}\) =Sample weight in the atmospheric air,

\({\text{W}}_{\text{Fluid}}\)= Sample weight in the fluid, \({\uprho }_{\text{Fluid}}\)= Fluid/Water density (0.9982 g/mL at 20 °C).

Porosity of composite materials

Porosity is the existence of space or pores in the structure of composite materials. It represents the fraction of overall volume of the composite that is occupied by these void spaces. The porosity is denoted by the symbol ϕ, and its value ranges between 0 and 100% when it is expressed as a percentage or between 0 and 1 when it is expressed as a fraction. In this study Archimedes’ method shown in Fig. 5, was employed based on the principle of buoyancy and widely used for porosity determination in MMCs.

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Archimedes method of density measurement in distilled water.

Hardness test

It is a very important test in engineering applications that shows a material’s ability to withstand wear, friction, and erosion by external factors. In this work, Vickers hardness test method was used, by measuring the indentation Fig. 6b, on specimen’s surface using a diamond indenter in the shape of a square-based 136° pyramid with a specific load to the specimen’s surface by using hardness testing machine (HVS-50) shown in Fig. 6a.

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Vickers hardness test and measurement.

By apply a uniform load without impact and push the indenter into the specimen. The load used for hardness test was 10kgf with 5 s holding time. This test was conducted as per ASTM-B933-16 for all specimens. The Vickers hardness number is calculated using the formula \({\text{HV}} = \frac{{{\text{Constan}}t \times {\text{Test}}\; {\text{force}}}}{{{\text{Surface}}\; {\text{area}}\; {\text{of}}\; {\text{indentation}}}} = \frac{{0.102 \times 2F\left( {\sin \frac{{136^{^\circ } }}{2}} \right)}}{{d^{2} }}\), where HV = Vickers Hardness number, F = Applied load in kgf, d = Length of the diagonals of the indentation in mm.

Compression strength test

Compressive strength of a material is the ability of the material to withstand compressive loading without failure. In this study the compression test was conducted on optimized samples under uniaxial compressive loading on a UTM with a 50 KN capacity at room temperature at ASTU, Mechanical lab. The ASTM E9 standard was used for this work includes specimens and steps for axial compression testing at room temperature and considerations for specimen geometry. The compressive strength of the samples shown in Fig. 7, after sintering was measured by a compression testing machine universal testing machine with a strain rate of 10 s -1 at room temperature.

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UTM (compression test) with compressed sample.

Data analysis and optimization method

The process parameters (such as milling time, compacting pressure and sintering temperature) were analyzed through Taguchi-based GRA optimization technique, based on the experimental results obtained from physical tests and mechanical tests. GRA based Taguchi method is appropriate for data analysis to provide an optimum sample during the analysis of multiple responses using the response graph method.

Step 1: Change the replicated response data into the S/N (η) ratio (Xi) using the following formulas For the smaller better, \(\upeta =-10\text{ log}\left[\frac{1}{\text{n}}\sum_{\text{i}=1}^{\text{n}}{{\text{X}}_{\text{ij}}}^{2}\right]\), For the larger better, \(\upeta =-10\text{ log}\left[\frac{1}{\text{n}}\sum_{\text{i}=1}^{\text{n}}\frac{1}{{{\text{X}}_{\text{ij}}}^{2}}\right]\) , Where \(\upeta\)= Signal to noise ratio, \({\text{X}}_{\text{ij}}\)= experimental value per trial, n = number of replication, and i = number of trial.

Step 2: Normalize the data in order to eliminate the influence of different measurement units and to ensure that all the data sets are transformed into comparable ranges. After this process, the data values obtained range between 0 and 1. Since the objective of this study is to minimize the density and increase strength and hardness, the smaller the better and larger the better for hardness and density were taken for analyzing the quality respectively, the equation of larger the better were used as \({\text{Y}}_{\text{ij}}= \frac{{\text{X}}_{\text{ij}}-\text{min}({\text{X}}_{\text{ij}})}{\text{max}\left({\text{X}}_{\text{ij}}\right)-\text{min}({\text{X}}_{\text{ij}})}\) and the formula of the smaller the better for porosity normalization method is, \({\text{Y}}_{\text{ij}}= \frac{\text{max}\left({\text{X}}_{\text{ij}}\right)- {\text{X}}_{\text{ij}}}{\text{max}\left({\text{X}}_{\text{ij}}\right)-\text{min}({\text{X}}_{\text{ij}})} ,\) Where: \({\text{Y}}_{\text{ij}}\) = normalized value for ith trial for jth response, \({\text{X}}_{\text{ij}}\) = S/N ratio value for ith trial for jth response, i = trial number (i = 1, 2… n) and j = response number (j = 1, 2… m).

Step 3: Compute the coefficient of grey relational for the normalized values (Kuo et al., 2008; P. K. Sahu & Pal, 2015). \(\delta_{ij} = \frac{{\vartriangle_{\min } + \Upsilon \vartriangle_{\max } }}{{\vartriangle_{ij} + \Upsilon \vartriangle_{\max } }}\), Where: \({\updelta }_{{{\text{ij}}}}\) = grey relational coefficient for the ith trial and jth, \(\Delta\) = deviation sequence of reference value ith and jth normalized value of the responses, \(\Delta_{{{\text{max}}}}\) & \(\Delta_{{{\text{min}}}}\) denotes the maximum and minimum values of “∆” respectively, \({\Upsilon }\) = maximum value of normalized S/N ratio distinguishing coefficient which is defined in the range 0 ≤ γ ≤ 1.

Step 4: Calculate the grey relational grade (βi). At the last, the grey relational grades were calculated using Eq. () for selecting optimal levels for the process parameter. Optimal level for factors as well as influential process parameter was analyzed further using the response graph method. \({\upbeta }_{\text{i}}=\frac{1}{\text{m}}\sum {\updelta }_{\text{ij}}\text{m},\) Where: m = number of responses. In this study two experiment were investigated, the first experiment was examined the samples fabricated with different powder metallurgy process parameters, at fixed reinforcement (5% of V2AlC with 4% of GO as lubricant) for all nine samples and next experiment was studied for samples fabricated based on optimal process parameters (5% of V2AlC) and the rest three samples fabricated and examined with varying reinforcement (8%, 10% & 15% of V2AlC with 4% GO) to investigate the effect of reinforcement at optimal level.

Specimen preparation for microstructural characterization

The sintered Fe-V2AlC-GO composite samples were progressively finely grounded with a grinder for hardness testing and microstructural analysis. Polishing is the process of rendering the Fe-V2AlC-GO composite samples scratch free using sandpapers of progressively increasing grit from 240, 800, 1200, and 2000. It was then exposed to grinding using sand papers from coarse to fine grades with orientation of 900. Polishing is the process of rubbing the sample with a diamond suspension to create a smooth, shiny surface while gradually reducing the pressure and rotation speed of the sanding disc in the RB 204, Metpol II model polishing process. Polished samples were etched with the Nital solution of 4% nitric acid and alcohol mixed etchant for 30 s.

X-ray diffraction (XRD)

Phases analysis in sintered composite

XRD-7000 diffractometer Maxima model from Shimadzu Corporation has been employed for analyzing crystalline phases and elements of IMMC samples. Phase analysis of the sintered samples was performed by X-ray diffraction observation with Cu-Kα radiation at 40 kV and 30 mA at 2θ value in between (80°-100°) in 3°/min scan rate. Phase identification and quantitative phase analysis were performed by using origin pro 2022. The crystalline phase of the matrix and reinforcement’s present in the sintered composite was analyzed.

Determination of crystalline size and lattice strain by XRD peak analysis

Gauss method of XRD peak profile analysis was employed to calculate the microstructural parameters namely crystalline size, mean squared lattice strain, root mean squared strain and dislocation density of Fe-V2AlC-GO by using XRD data. By using the Scherer equation, we can quantitatively calculate the relationship between the diffraction peak and the crystal grain size.\(D = \frac{K\lambda }{{\beta \cos \theta }},\) Where: D = Crystalline size, λ = XRD radiation of wavelength (μm), K = Shape factor can be 0.62—2.08. θ = Braggs angle in degree. β is line of broadening at FWHM in radians or measurement of the full width at half maximum of the radian peak located at any 2θ. Dislocation density is a measure of the number of dislocations within a unit volume of the crystal. It was determined using XRD data with relate to crystalline size. \(\updelta =\frac{1}{{\text{D}}^{2}} ,\) Where: \(\updelta\)=Dislocation density in \({\text{nm}}^{-2}\), D = Crystallite size of the particles estimated from Scherer’s equation. The local deviation of atoms in the crystal structure from their equilibrium position is known as lattice strain. The presence of non-uniform stress is typically caused by non-uniform stress causing peak broadening, mathematically calculated from XRD data, The Latice Strain is given by \(\left( \varepsilon \right) = \frac{\beta }{4\tan \theta }\).

Result and discussions

Density of composite materials

In this study density, porosity and hardness were analyzed in the first round based on the interrelation of powder metallurgy process parameters at fixed reinforcement 5% of V2AlC and 4% of GO for nine samples and optimization were performed, Table 6, shows the density of sintered samples for nine samples with three trials for different process parameters generated by L9 orthogonal array at fixed reinforcement. Figure 8, illustrates the experimental average density of developed samples by powder metallurgy process parameters (MT, CP and ST).

Table 6 Experimental density of Fe-V2AlC-GO.
Fig. 8
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Experimental density of Fe-V2AlC-GO (5% V2AlC).

From the experimental test sample fabricated through A1B2C2 had higher density compared with others then is followed by A2B2C3, this indicated that excessive sintering temperature can negatively impact by promoting excessive grain growth leading to increasing porosity and reduce overall density. High ST accelerate grain growth as grain become larger, they may not fill the spaces between them completely, leading to a decrease in density. Sample eight (A2B1C2) had the lowest density compared with others this is due to the small compaction pressure because less force was applied to the powder particles, leading to less effective densification. The experimental test also investigated the effect of milling time on density of sintered samples (53, S6 and S9) had reduced density, sample fabricated through A3B3C2 had higher MT, CP and moderate ST but the experimental result shows us the reduction on density due to excessive milling time.

Porosity of composite material

The porosity of fabricated composite samples was analyzed using the Archimedes technique. It was calculated from theoretical and experimental density as given in Table 7, Inadequate MT, CP, and ST all contribute to increased porosity. Particle clustering adversely affects the physical and mechanical properties and microstructure of PM parts.

Table 7 Experimental porosity of Fe-V2AlC-GO.

Figure 9, shows the percentage of porosity within fabricated composite samples. In the figure observed that low percentage of porosity for S7 and S5 respectively and previously stated the density of composite material for S7 and S5 were higher, this indicate that porosity and density have an inverse relationship. The figure also illustrated that the highest percentage of porosity occurred for S8 and S2 respectively this shows the process parameters used to fabricate those samples were not suitable and leads to reduction of density.

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Percentage of porosity with in Fe-V2AlC (5% V2AlC).

Hardness of Composite Material

The hardness of the Fe-V2AlC-GO composite was tested using a Vickers hardness tester. Hardness tests were carried out on the composite specimen’s surface in three different locations. The hardness values are presented in Table 8. The effect of process parameters on the hardness is clarified in Fig. 10.

Table 8 Experimental hardness values of Fe-V2AlC-GO composite.
Fig. 10
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Average hardness values of Fe-V2AlC-GO composite.

From the experimental test the Average Hardness value shown in Fig. 10, the highest hardness observed for S4 fabricated through A1B3C3 and followed by S9 (A3B3C2) for both samples compression pressure was the same, for S9 milling time increased to the highest level and sintering temperature was moderate but some reduction on hardness was occurred. On the other hand, S7 (A1B2C2) and S9 had the same ST but decreasing on hardness compared with S9, this is due to the reduction of compression pressure.

The lowest hardness occurred for S1 (A1B1C1) and followed by S3 (A3B2C3) because of low compaction pressure and sintering temperature, generally from the experiment samples fabricated with the highest level of compaction pressure had relative higher hardness. And previously stated that the highest density observed for S7 but the highest hardness occurred for S4, this indicated that distribution of particles was not uniform therefor analysis and optimization was needed to achieve optimal process parameters.

Analysis of density and porosity

The ANOVA was used to find the effect of parameters on multi-responses. The response table also provides the grades of influential parameters upon the responses as given in Tables 9 and 10.

Table 9 The response for density.
Table 10 The response table for porosity.

The compaction pressure is the first influential parameter up on density and porosity, followed by milling time, and sintering temperature. It is obtained as A1B2C3 for experimental density. The Fig. 11, illustrated that the S/N ratio increased at the first level of MT, second level of CP and third level of ST.

Fig. 11
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Effect of process parameters on density (S/N ratio).

Analysis of hardness

The influence of PM process parameters on the hardness clarified using the main effect plot for S/N ratios in Fig. 12, and larger the better criteria was used to analysis parameters. From the Table 11, the property of hardness mainly influenced by CP and followed by (ST and MT) respectively. And it reflected as the hardness property of the composites has a strong correlation with different process parameters.

Fig. 12
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Effect of process parameters on hardness (S/N ratio).

Table 11 The response table for hardness.

The Fig. 12, below illustrated the correlation of process parameters and evaluated where the higher hardness achieved, on the figure milling time at first level, compaction pressure in the third and sintering temperature in the second level is the predicted correlation PM process parameters to increase hardness.

Therefore, the optimal parameter correlation generated through Taguchi analysis for hardness is A1B3C2. The ANOVA table for hardness tabulated below used to identify which controllable parameter significantly affects the performance characteristic.

Signal to noise (SN) ratio of the experiment values

In this study, density, porosity, and hardness responses were analyzed based on the GRA methodology. Fe-V2AlC-GO composite with high density and hardness were desired, the higher-the-better criteria and lower-the-better criteria were applied for (density and hardness) and porosity respectively to convert the response data into the S/N ratio. The transformed density, porosity, and hardness response data into the S/N ratio are presented in Table 12. The S/N values of density and hardness were normalized as given in Table 13.

Table 12 S/N ratio of experimental responses.
Table 13 Normalized S/N ratio, GRC and GRG.

After the S/N ratio was normalized, the grey relation coefficient (δij) was calculated to represent the relationship between the desired and actual experimental data. In situations where multiple factors need to be evaluated simultaneously, the grey relational coefficient allows for a comprehensive comparison of alternatives based on normalized data. This facilitates the identification of the best option among various choices. Finally, the grey relational grade (βij) was computed to summarize the overall performance of different experimental conditions. The grey relational grade enables the integration of various parameters’ performance into a single value, thereby facilitating decision-making across various criteria. The calculated normalized S/N ratio, grey relational coefficient (δij), and grey relational grade (βij) are shown in Table 14. The means of the grey relational grade for each level of controllable parameters were calculated and summarized in Table 14, the larger the grey relational grade shown in bold.

Table 14 Response table for grey relation analysis.

As shown in the response table for grade relation analysis compaction pressure is the first influential parameter, followed by sintering time and milling time respectively. To confirm optimal parameter of powder metallurgy process parameters ANOVA was needed for grey analysis grade was used to find out the contribution of process parameters. The results of ANOVA for the grey relational grade values are shown in Table 15. The results indicate that the percentage contribution of the MT, CP and ST are 11.42%, 65.63% and 19.81% respectively, the variation of compaction pressure is the highest influential parameter, followed by sintering time and milling time shown in Fig. 13, illustrated at what level the desired property of density, porosity and hardness to be achieved. Therefor the optimal PM process parameters correlation identified from ANOVA analysis is A1B3C2 which is the same with previously identified optimal parameter through response table for grey relation analysis. As a result, the confirmation sample test were fabricated and evaluated with A1B3C2 (powder milled for 1 h, compacted at pressure of 70Mpa and sintered at temperature of 1000˚C with varying reinforcement 5%, 8%, 10%, 15% of V2AlC and pure iron, fixed 4% of GO for all composition.

Table 15 Results of the analysis of variance.
Fig. 13
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Grey relational grade.

Physical and mechanical properties of samples at optimal level

The physical and mechanical properties of sintered samples were evaluated through previously discussed procedures in chapter three. The samples sintered with varying reinforcement (5%, 8%, 10%, and 15%) of V2ALC with 4% GO as lubricant and pure iron were fabricated at optimal parameter (A1B3C2), denoted by S10, S11, S12, S13 and S14 respectively. From Table 16 and the Fig. 14a and b, below the density and porosity of samples were taken average value of three tested samples. The evaluated density values are (7.112, 7.019, 6.983, 6.691, and 7.16) in g/cm3 for S10, S11, S12, S13 and S14 respectively. When the percentage of reinforcement increased the density of the samples decreases due the addition of low-density reinforcement compared with that of pure iron, in addition to that the percentage of porosity decreased up to 10% of reinforcement then it increases.

Table 16 Density, porosity and hardness value with varying reinforcement.
Fig. 14
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(a) Density and (b) porosity value of varying reinforcement.

For sample S13 porosity increased, this is due to increasing more percentage of reinforcement, as a result the volume fraction of the matrix decreases, this can lead to a reduction in the effective contact area between the base metal and the reinforcement particles, the particles are not well dispersed.

Hardness property of samples with varying reinforcement

Hardness is a very important characteristic in engineering applications as it indicates a material’s ability to withstand friction, and erosion by external factors and iron-based material are applicable mainly for the application area which need more strength, to improve the hardness of material consequently improve the wear resistance, friction resistance, compressive strength and other related mechanical properties. Table 17. Shows the Vickers hardness of composite material with varying reinforcement.

Table 17 Vickers hardness of composite material with varying reinforcement.

From the Fig. 15a illustrated below the Vickers hardness of samples (S10, S11 and S12) increased when the reinforcement increases. The hardness of S10 is 423.8, the composition of the reinforcement was 5% V2AlC, the same reinforcement with the first experiment. On the first experiment the highest hardness was studied on the sample fabricated on S4 (A1B3C3) process parameters it was 429.833, this result with some extent greater than S10. S10 was fabricated on A1B3C2 optimal parameter and the desired density, porosity and hardness (7.112, 4.87 and 423.8). Generally improved optimal property occurred on S10 compared with S4. The highest hardness exhibited on S12 which is 10% of reinforcement then followed by S11 (8% reinforcement), the sintered sample of 15% V2AlC (S13) exhibited the reduced hardness but when compared with pure iron S13 exhibit improved hardness but it is smaller than S10. The graph of applied load versus displacement during this test is shown in Fig. 15b, The obtained maximum compressive strength was 702 MPa for S12 and followed by 585 MPa, 670 MPa, 570 MPa and 540 MPa for S10, S11, S13 and S14 respectively. The compression strength test was performed on the sample produced at optimum level using UTM following ASTM Standard B925-15. It has been observed that the addition of reinforcements Fe-10V2AlC-GO improves the ability of the iron to withstand compressive loads without failure. This indicated beyond 15% reinforcement of V2AlC the desired property will not be achieve, its hardness decrease, reduction on density due to voids (pores) and also increase porosity, with high reinforcement that leads to a reduction in an effective contact area between the matrix and reinforcement.

Fig. 15
Fig. 15
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(a) Hardness of composite material (b) Load displacement of Fe-10V2ALC-GO.

In this study of iron matrix composites reinforced with vanadium aluminum carbide and graphene oxide, it is observed that the properties of the Fe-10 V₂AlC-GO composite exhibit a density of 6.983 g/cm3, a porosity of 4.671%, a hardness of 534.2 HV, and a compressive strength of 702 MPa. However, when the reinforcement is increased to 15 wt.% (Sample S13), there is a noticeable decline in these properties, with the composite showing a density of 6.691 g/cm3, a porosity of 6.735%, a hardness of 399.733 HV, and a compressive strength reduced to 540 MPa. This data suggests that excessive reinforcement may adversely affect mechanical performance. The decline in mechanical properties at reinforcement levels exceeding 10 wt.% in iron-based composites can primarily be attributed to increased porosity, reduced matrix continuity, and agglomeration effects. This observation is consistent with findings in the literature9,10 which emphasize the necessity of optimizing reinforcement levels to achieve enhanced mechanical performance. For example, studies on MAX phase composites suggest that optimal reinforcement levels typically9 range between 5 and 15 wt.%. Beyond this threshold, properties such as hardness and tensile strength tend to decline due to similar factors including increased porosity and diminished matrix continuity. Furthermore, research on Fe-Al2O3 composites has reported significant reductions in hardness and strength when alumina reinforcement levels exceeded 10 wt.%, thereby corroborating the trends observed in our study10.

Corrosion resistance of composite material with varying reinforcement

A NaCl electrolyte were created by dissolving 3.5% of NaCl, and 150 mL of distilled water electrolyte was taken out for each experiment as given in Table 18. At a scan rate of 1 mV/sec, Potentio-dynamic polarization curves in the 250–250 mV region was captured for OCP. The Tafel Plot or polarization curve shown in Fig. 16a and b, (corrosion potential in Y-axis, versus corrosion current in X-axis). The Tafel estimation approach was applicable to detect Potentio-dynamic polarization in order to study the corrosion behavior of the manufactured samples. Calculating the rate of action of corrosion reactions can be done using the shape of the polarization curve.

Table 18 Corrosion rate.
Fig. 16
Fig. 16
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(a) and (b) Corrosion potential Ecorr for varying reinforcement.

From the Table 18, the calculated corrosion rate based on Icorr the small corrosion rate the higher performance to resist corrosion as a result S13 (Fe-15%V2AlC-GO) exhibited the higher withstand corrosion and followed by S12 (Fe-10%V2AlC-GO), S11 (Fe-8%V2AlC-GO), S10 (Fe-5%V2AlC-GO) and S14 (Pure iron). From the previous study on this paper S13 exhibited bad desired property therefore S12 is preferable.

Microstructural analysis

The sample, produced at an optimal level, underwent an optical microscope test to analyze the distribution of reinforcements within the base metal. The figure shows the OM micrograph of the composite material samples at different magnification levels. As the weight percentage of reinforcement, increase the porosity and more large grain are observed which may be due to the unreacted V2AlC particle. From the Fig. 17, S12 well distribution reinforcement and no more porosity. On the other hand, S13 show more pores (voids) due to high percentage of reinforcement that leads to small contact to area between metal matrix and reinforcement.

Fig. 17
Fig. 17
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OM image of composite materials.

X-ray diffraction (XRD) analysis

The X-ray diffraction (XRD) pattern of Fe-5V2AlC-GO (S10), Fe-8V2AlC-GO (S11), Fe- 10V2AlC-GO (S12) and Fe-15V2AlC-GO were detected in angle between (10°-2θ-80°) at scan speed 3°/min. The samples’ diffraction peaks were compared to XRD-JCPDS files of various materials, as shown Fig. 18. The XRD analysis show the existence of Fe (high intensity peak) and enhancements (V2AlC and GO), which are symbolized by various signs and XRD-JCPDS, in the composite matrix.

Fig. 18
Fig. 18
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XRD Spectrum of IMMC at different reinforcement content.

Crystalline sizes of sintered samples’

Crystalline size presented in Table 19, calculated for S12 (Fe-V2AlC-GO), was used to determine crystalline size using the XRD data. Take K as 0.94 (recommended between (0.68–2.08) to calculate the Scherrer condition’s most extreme acceptable run for Fe- V2AlC-GO (Lee et al., 2022), and since the average value is utilized, the diffraction peak point was calculated from the XRD data as 1.54056 (°), the X-ray diffraction wavelength, and as varied as possible. There is consistency between the average grain size and the average crystalline size value of 27.616 μm found in the XRD data.

Table 19 Crystalline size of Fe- 10V2AlC-GO.

Conclusion

This study successfully fabricated iron metal matrix composites reinforced with V₂AlC and graphene oxide (GO) through a two-phase powder metallurgy approach. Initial experiments determined optimal process parameters—1 h milling time, 70 MPa compaction pressure, and 1000 °C sintering temperature—via Taguchi-based grey relational analysis, highlighting compaction pressure as the most influential factor for mechanical properties. Subsequently, varying V₂AlC reinforcement percentages revealed that the Fe-10 V₂AlC-GO composite (S12) exhibited superior physical and mechanical properties, including optimal density, porosity, hardness (534.2 HV), and compressive strength (702 MPa). Although Fe-15% V₂AlC-GO showed better corrosion resistance, its other properties were less desirable, making S12 the preferred material. Microstructural and XRD analyses confirmed homogeneous reinforcement distribution and the presence of V₂AlC and GO phases, substantiating the improved properties of the iron matrix. The research recommends a V₂AlC reinforcement range of 6–12%, with Fe-10 V₂AlC-GO identified as an excellent candidate for advanced applications, emphasizing the potential for further improvements through novel reinforcements and manufacturing techniques.