Study of Microstructure and Wear Resistance of AA5052/B 4 C Nanocomposites as a Function of Volume Fraction Reinforcement to Particle Size Ratio by ANN

of AA5052/B 4 C metal matrix composites (MMCs) examine. Tis research examines a model function developed from an artifcial neural network (ANN). AA5052/B 4 C composites bent using a powder metallurgy technique to hardness and ball-on-disc wear testing. Tere are two exemptions such as (1) when the percentage volume of reinforcement is less than 8% and (2) when the ratio of reinforcement particle size (Rs) and matrix particle size (Ms) increases before decreasing. Te results show that wear loss decreases with increasing percentage volume of reinforcement and ratio of Rs and Ms. In the second case, wear loss is increased at high levels of percentage volume (14%) since the proportion of reinforcement and matrix size of the particle is close to 1. When the volume percentage of reinforcement is high (14%) and the matrix and reinforcement particle sizes are substantial (120m), the reinforcement particles become dislodged and break. Because these broken-up particles are easily removed from the surface, the material’s wear resistance is reduced. In this case, raising the volume fraction yields a uniformly higher hardness for all Rs/Ms values; hence, composites with lower reinforcement volume percentages show better wear resistance. Hardness and wear resistance have no relationship with one another.


Introduction
MMCs are an emerging material class with a wide range of desirable properties, including low weight, high strength, specifc modulus, low density, low elongation, and high stifness [1]. Excellent operating performance, wear resistance, thermal stabilization, minimal thermal extension, and maximum fexibility to experience the distortion process by conventional methods such as powder metallurgy and casting have contributed to the increase in emerging of AMMC strengthened with ceramics in both the industry and academia. As a result of its compatibility with a wide variety of metallic and ceramic substrate plating materials, AA5052/ B 4 Cp is useful in microelectronic packing for aviation, automation, and microapplications.
Because of its unique qualities, including the lack of undesired reaction products and less processing cost, solidstate powder metallurgy (PM) is frequently employed as a production method for Al-based MMCs [2,3]. However, this approach also has drawbacks, such as a lack of homogeneity and a low density from the pores [4].
Sintering, pressing, mixing settings (external factors), and material aspects all infuence the qualities of particulatereinforced MMCs made through solid-state powder metallurgy. Material factors (internal factors) considered in this investigation include Ms and Rs and the percentage volume of reinforcement particles.
Wear resistance in Al-based MMCs has been found to increase with both Rs and volume percentage of reinforcement [5]. Although internal parameters have a signifcant bearing on tribological features and reinforcement particle clustering, the impact of the matrix size of the particle and the ratio of Rs/Ms has not been extensively studied.
Analysts frequently resort to analytical approaches to investigate the efects of MMCs' material features [6]. Te use of an ANN is currently one of the most widely adopted and successful approaches. Characterizing the material and providing insight into the efective manufacturing material and processing parameters are two additional benefts of using ANN [7]. Tickness, porous, and stifness predictions for AA5052/B 4 C MMC were investigated by authors [8]. Teir analysis took a Cu-weight percentage and a B 4 C volume fraction as input parameters. A maximum inaccuracy of 5.99% was determined.
Researchers [9]employed an artifcial neural network to examine the relationship between the axial stress and strain of AA5052/B 4 Cp MMCs and the thickness, size of the particle, percentage volume of particles, and load. Te authors [10] also used an artifcial neural network to examine the results of particle size, percentage of volume, and milling duration on the density, hardness, and tensile strength of Al2024/B 4 C MMCs. Te authors examined the bending strength and stifness of aluminium-silicon-magnesiumbased MMC [11] using ANN to see if they varied with the Rs. Te B 4 C particle was the only input during ANN. Researchers found that B 4 C's hardness and bending strength improved along with its particle size [11].
Te wear resistance of MMCs was studied using ANN in specifc research. To examine wear behavior, authors [12] used ANN on AA5052/B 4 C MMCs. Te wear behavior of AA5052/B 4 C MMCs was studied to determine the impact of load and testing temperature. At the same time, in investigating the wear rate of aluminium/Al 2 O 3 MMCs, authors [13] employed an ANN technique, with a wear rate as output and percentage volume of reinforcement, applying pressure, sliding speed, and testing temperature as input factors. Clustering, an undesirable phenomenon, is reported to increase the volume percentage of reinforcement. Authors [14] also investigated the impact of the reinforcing volume fraction. Te researchers discovered that squeeze-cast AA5052/B 4 C MMCs with a higher volume proportion of B 4 C particles had better wear resistance [15][16][17]. Tey also found that an increase in percentage volume led to a higher critical transition temperature between the moderate and severe regimes of wear loss [17]. Additional instances of the successful application of ANN to the characterization of MMCs can be found in the scholarly literature [18].
Tis research looked at how the Rs/Ms ratio afected the wear behavior of AA5052/B 4 Cp MMCs. Te studies relied on a model function determined with the help of a neural network simulator and the data collected in the experiments. Micrographs of the microstructures were acquired before and after the wear testing, allowing for a comparison of the two data sets. To get a more in-depth look at AA5052/B 4 Cp MMCs to wear, an ANN was used with wear loss and hardness as input factors and percentage volume of reinforcement, Ms and Rs as output parameters.

Materials and Experimental Procedure
Production of AA5052-B 4 C composites was achieved through powder metallurgy. Five diferent volume fractions of B 4 C particles were used to strengthen the aluminum particles (99.5% purity). Matrix and reinforcement particle sizes of 70, 95, 120, 145, and 170 μm were tested and found to be optimal. In a triaxial mixer, particles of aluminum and B 4 C of varying sizes were mixed for a one-hour cold compact at a pressure 450 MPa. After compacting, the particle mixes were sintered at 600 C for 8 hours.
Te hardness of the composite specimen was evaluated using a Brinell hardness tester (DM-AKB-3000, Navin Engineering) outftted with a ball indenter measuring 2.5 mm in diameter and a 62.5 kgf force. Te wear tests were conducted in the ball-on-disc-type machine with dry sliding circumstances. Steel ball bearings with a diameter of 6 mm and a hardness of 62HRC were employed as the counter-face material. Normal loads of 10 N were applied for the wear testing, and the sliding velocity was held constant at 0.421 ms −1 , with the sliding distance set at 550 m. Te starting and ending weights of every sample were recorded to calculate wear. Table 1 displays the wear loss and hardness test results for all the specimens tested, including those with a wide variety of matrix particle sizes, reinforcement particle sizes, and reinforcement volume fractions.

Artificial Neural Network
Digital models of the nervous systems and artifcial neural networks are based on the biology of intelligence [19]. Tey are typically depicted as networks of neurons that can calculate values from inputs when data are fed into the system. Te ability of artifcial neural network models to infer a function from observation is often cited as proof of their usefulness. Tis is especially helpful when it would be impractical to design such a function by hand, as is the case when working with complex data or tasks. Tis means that ANNs can provide meaning for the interrelationships between the variables of a high-dimensional space. When asked to represent intricate linear and nonlinear connections, ANNs have excelled well. Compared to statistical approaches, ANNs provide a radically new way to describe materials and manage their processing. Neural networks can be programmed to do a variety of tasks. Te neural network is seen in Figure 1. Te weight matrices (w), bias vectors (b), transfer function (f ), reinforcement (R), and outputs (a) in this network are R, f, w, and a, respectively.
Training a neural network needs to receive examples of data that may be used as inputs. Each input is multiplied by a variant known as the weight and added to a variant known as the bias beforehand, incoming the neuron; the preliminary range of both variations can be specifed in advance if the neural network has only one layer [18]. Te experimental output value is compared with the neuron's output, which is the functional transfer input. Te input is the total of the values received from each input. If the resulting error value exceeds the allowed error value, the result is sent back to the network to adjust the weights and biases until the intended efect is achieved. Figure 2 depicts the iterative process of network training and evaluation, with various techniques used to explore the resulting model's performance.

Implementation of the Neural Network.
Numerous parameters can be adjusted during installation to optimize the performance, speed, and accuracy of an ANN [20]. Parameters include the network learning rate, the number of layers, the number of neurons in each layer, and many others. In this research, the neural network was trained using abrasive resistance and hardness as input factors and the Rs, Ms, and the reinforcement volume fraction. Te network was educated using the most popular and efective approach for training, backpropagation error. According to authors [21], the Pearson correlation coefcient is the other artifcial neural network metric that demonstrates how successfully a network is trained. Te research shows that Pearson correlation coefcient values greater than 0.9 are considered satisfactory for this parameter [22].
Dispersion in the training data can signifcantly afect the number of layers and neurons; similarly, variation in the input and output factors might cause difculties in the network learning process. Data are normalized to reduce the variation in such circumstances. Similar to the method used by authors [23], all parameter values were normalized in this study by dividing them by the most signifcant value of the relevant parameter to place them in a uniform range from 0 to 1. Te optimal PCC (postclassifcation comparison) value was found by trial and error. Table 2 provides the artifcial neural network's specifc architecture and the relevant factors' values. Tere were three distinct layers to the network. Te ANN structure gave nominal values for the sum of neurons in the input, hidden, and output layers. Authors [24] indicate that growing the number of neurons, being the minor process units, does not result in enhanced network performance and accuracy. Tis is something to remember while choosing the number of layers and neurons. Te rate at which a network learns is another crucial variable that must be considered during deployment. Authors [25] discussed that a low value for this parameter results in slow network convergence, which slows down the time it takes to obtain the desired response. In that case, there is a risk that the training process may become unstable, increasing the amount of inaccuracy in the response from cycle to cycle.

Model Function.
Te values of w, f, p, and b parameters can be acquired upon successful training of the neural network. Figure 3 indicates the overall structure of the neural network used in this research. Using these values, one may determine the function that connects the manufacturing process parameters as inputs to the measured outcomes (wear loss and hardness) as outputs. Te model function can be derived as follows: a 3 is the output of the third layer, which is equivalent to the function G (g(1), g (2)), and a 1 and a 2 are the outputs of the frst and second layers, respectively. G(g (1) and g (2)) are the resultant factors for measured values. Ms, Rs is used in the function G to calculate wear loss and hardness.

Artifcial Neural Network.
For wear loss as well as hardness, as can be shown in Figures 4(a) and 4(b), the ANN predictions are close to the experimental results. Te ANN model has a 1% margin of error for making predictions ( Table 2). Tis means that the projected fndings agree well with the experimented data. Te results show that an artifcial neural network is a valuable tool for predicting the wear behavior of particle-strengthened MMCs and can be utilized in conjunction with experimental results. Figure 5 shows the optical microstructures of AA5052-B 4 Cp MMCs. Microscopically, 8% volume fraction composites have a homogeneous distribution of reinforcing particles (Figures 5(a) and 5(b)). In these composites, the reinforcement (Rs) and the matrix (Ms) particle size ratio is more than one or equal to 1. While the reinforcement volume percentage is less, Figure 5(c) shows that few particle clusters arise in the microstructure when the reinforcement size is lesser than the matrix size of the particle (Rs/Ms < 1) (8%). However, particle clusters are more numerous in composites with a large volume fraction   Journal of Chemistry (18%), which is true regardless of the Rs/Ms (Figures 5(d)-5(f )). Tis research determined the clustering rate of reinforcement particles by comparing the cluster area to the total microstructure area. Seven micrographs were obtained from each sample, the parameter value was determined for each, and the average was used to determine the clustering rate. Comparing only specimens with 18% of reinforcement reveals that the clustering of strengthening particles becomes less severe with an increasing Rs/Ms ratio.

Analysis of Microstructure.
It can also be seen clearly from Table 1 and Figure 5 that when the volume proportion rises and the Rs/Ms ratio falls, the degree of reinforcement particle clustering increases. Tese fndings suggest that reinforcement particles' distribution and cluster formation are controlled by the Rs/Ms ratio in addition to the volume fraction. Te dashed arrows represent particle clusters with space in Figure 5. Tere are two distinct ways these gaps can emerge. Inefcient bonding between the groups of reinforcement particles makes them  easy to dislodge or remove from the matrix. In this case, sliding wear tests have not yet been conducted. Second, when deformed plastically, the matrix material has difculty flling the gaps between the reinforcement particles. Tis is because the reinforcing particles are clustered too closely together, which impedes the fow of the matrix material during the pressing and sintering processes. It explains how the reinforcement particle clustering afects the AA5052/ B 4 Cp MMCs' wear behavior. Figure 6 shows that AA5052/B 4 Cp composites' wear behavior is afected by reinforcement volume percentage and the Rs/Ms factors. Te percentage of reinforcement volume in a material's total volume is essential in determining its wear resistance. As the volume fraction of reinforcement rises, wear loss falls. However, as seen in Figures 6(a)-6(d), wear loss rises with the increasing matrix size of the particle. Te impact of particle size reinforcement on wear resistance is complex and cannot be analyzed in isolation. Once the strengthening volume percentage is more signifcant than 12% and the Rs is less than half that of the Ms (Rs/Ms 0.5), the wear loss appears to decrease slightly. However, wear loss starts to diminish as the relative Rs increases drastically. Tere is a minimum in the wear loss's lowering trend at high reinforcement volume fraction and Rs, which then starts to climb again. Te wear behavior of AA5052/B 4 Cp MMCs can be better examined and comprehended if a second parameter is defned to account for the size of the reinforcement particles. Tis study developed a new metric, Rs/Ms, to accomplish this. Te model function ( Figure 6,   Journal of Chemistry how many reinforcement particles there are for every hundred matrix particles [26]. As the mixture is stirred, the smaller matrix particles can more efectively fll the spaces between the larger reinforcement particles. Wear resistance improves as the ratio of Rs/Ms increases. With just two exceptions, wear loss reduces with increasing Rs/Ms. In the frst scenario, the volume fraction is between 6 and 8%. As shown in Figure 6, the wear rate decreases after reaching a maximum. In this second scenario, the volume percentage of reinforcement is more than 14%, the reinforcement and matrix particle size proportion is close to 1, and the matrix particle size is more than 120 μm. When the particle size of the matrix increases, the wear loss falls until a minimum is attained, and then the minimum moves to a lesser range of the ratio of Rs and Ms (Figures 6(c) and 6(d)). Figure 7(a) demonstrates that the reinforcement particles cannot prevent substantial plastic distortion in the frst situation, while the sample surface is in metal-metal contact when the testing load is relatively high. Larger reinforcement particles induce extensive plastic deformation and wear loss, which may be attributed to their poorer strength due to harboring more defects, as observed by authors [27,28]. In addition, low Rs/Ms can cause particle clusters, resulting in a signifcant amount of wear loss. But after wear loss has plateaued at a given reinforcing particle size, further increases in particle size reduce the rate of wear ( Figure 6). Because larger reinforcement particles are lodged so profoundly in the matrix, they are better able to shield the matrix from damage and hence prevent the plastic distortion of the specimen's surface.

Wear Behavior.
As shown in Figure 5, the volume proportion of reinforcement particles and the number of particle clusters raise the reinforcement and matrix size particle ratio to a specifc fxed maximum value of volume percentage. Authors [29][30][31] conducted a few other study teams that have come to similar conclusions. Wear loss decreases initially despite an increase in Rs/Ms in another case when the percentage volume of reinforcement is more signifcant than 14% and the Ms is > 120 μm (Figures 6(c) and 6(d)). A maximum volume proportion of reinforcement (>14%) is responsible for the observed upward trend in wear loss. Te minimum process temperature of the MMC prevents difusion between the B 4 C and AA5052 particles, resulting in weak bonding in the clustered particles that make up the microstructure of MMCs [32,33]. Because of this, particles are easily knocked of the sample's surfaces during the wear test [34]. Te spaces left behind by considerable dislodged particles are not always flled. Depending on the particle cluster, the voids created in the present investigation may be noticed in Figure 5 well before the wear test was performed. As shown in Figure 7(b), the wear loss increases because the dislodged particles become imprisoned among the sample surface and counter-face, breaking apart (Figures 6(c) and 6(d)). When the percentage volume of reinforcement (14%) and the percentage volume of the matrix (120 μm) are both high, the high Rs/Ms cannot improve the wear resistance of MMCs.  [35][36][37]. Dislodging and fracturing of reinforcing particles diminish wear resistance, as seen in Figure 8. In contrast to the wear loss trends, which show an increase as a function of rising volume fraction, it is clear that hardness improves for all ranges of Rs/Ms. Tis suggests an inverse relationship between hardness and wear resistance in this region.

Conclusions
Using a numerical model derived from a trained ANN, this research examined the wear resistance as well as hardness of AA5052/B 4 Cp metal matrix composites and found the following: (1) Percentage volume of reinforcement, followed by the ratio of particle size reinforcement to particle size matrix, is the essential factor in defning the wear resistance of AA5052/B 4 Cp MMCs, and more accurate results can be obtained (2) Except in two situations, wear resistance improves with an increase in the Rs/Ms ratio: for (a), the reinforcement volume fraction must be less than 8%.
Here, (a) the percentage volume is greater than 14%, (b) the Rs/Ms is close to 1, and (c) the Ms is more signifcant than 120 μm; wear loss diminishes as the Rs/Ms ratio increases. Te lost wear reduces until it reaches a minimum and then rises again. (3) Reinforcing particle clustering has a signifcant impact on wear loss. Te wear resistance goes down with the number of clusters. Te proportion of reinforcement volume to particle volume and the strengthening stifness to particle stifness are essential factors in particle clustering. Wear resistance is inversely proportional to the Rs/Ms ratio, which means that raising the volume percentage increases the particle clustering. (4) Te reinforcement particles become dislodged and break when the volume percentage of reinforcement is high (14%) and when the particle sizes of both the reinforcement and the matrix are signifcant (120 μm). Te material's wear resistance is decreased because these fragmented particles can be readily cleaned of the surface. Here, increasing the volume fraction results in a greater hardness across the board for all Rs/Ms values; hence, composites with lower reinforcement volume percentages exhibit more excellent wear resistance.
Tere is no correlation between wear resistance and hardness. (5) Trough the use of a qualifed ANN, the wear behavior of particle-reinforced metal matrix composites was successfully characterized for the frst time.
Te network took as input parameters the particle size and volume fraction of the reinforcement in the matrix, and the network output factors were the wear loss and hardness of the composite.

Data Availability
All data supporting the fndings of this study are included within the manuscript.

Ethical Approval
All procedures performed in this study involving human participants were by the ethical standards of the institutional and/or national research committee and its later amendments or comparable ethical standards.

Disclosure
Te funders had no role in the study design, data collection, and analysis, publication decision, or manuscript preparation.

Conflicts of Interest
Te authors declare that they have no conficts of interest.