Abstract
Metal matrix composites are expanding their range every day due to their various industrial applications in manufacturing sectors, to attain high performance and favorable characteristics such as light weight, more excellent corrosion as well as wear resistance, high specific strength and high temperature-resistance than conventional materials. This study deals with analysis on erosion wear characteristic and corrosion behavior of newly-engineered aluminum metal–matrix composite (Al–0.5Si–0.5Mg–2.5Cu–5SiC) developed by powder metallurgy method. Solid particle erosion test was conducted on the newly developed AMMC product and the execution of design of experiments through Taguchi and statistical techniques demonstrates the feasibility of investigating the erosion characterization and behaviors of the composites. Sixteen set of experimental trials were performed by considering three process parameters (impact angle, stand-off distance, and impact velocity) associated with four levels each. Experimental results in accordance of Taguchi’s orthogonal array design of experiments are analyzed by employing analysis of variance (ANOVA), response surface methodology (RSM) and desirability function approach for analysis, predictive modeling and optimization of erosion rate, respectively. Thereafter, an observation on eroded surface morphology is performed under the influence of impact velocity by employing scanning electron microscope (SEM) to entrench the process. Result shows that, the impact velocity followed by impact angle have significant contribution (80.42 and 8.71%, respectively) in improvement of erosion rate. The methodology proposed in this study collects the experimental results and builds a mathematical model in the domain of interest and optimized the process model. Under the highest desirability (1), desirability-function approach of RSM presented the optimal manufacturing conditions at impact velocity of 18 m/s, stand-off distance of 26 mm and impact angle of 67° with estimated erosion rate of 65.155 mg/kg. The experimental data generated for Al–0.5Si–0.5Mg–2.5Cu–5SiC AMMC will be useful for the industry.
1 Introduction
Aluminum-metal–matrix-composites (AMMC) belong to a standard performance, lightweight aluminum-oriented materials. AMMC are considered excellent structural materials suitable for use in the aerospace and automotive industries due to their excellent combination of qualities, in particular their low density, high thermal conductivity and high specific resistance, specific stiffness and heat resistance (Prasad and Asthana 2004). The key to improving these properties lies in the structure, chemical composition and bonding nature of the reinforcing particles. AMMC compositions can be modified to the requirements of various industrial demands using appropriate amalgamation of reinforcing elements and metal matrix elements with various processing methods. Surappa (2003) reported that AMMCs with various forms of reinforcement like particulates, fibers or whisker and produced in both solid and liquid states processing found their application in various sectors because of modern structural and functional benefits. Many methods are used to fabricate the particle reinforcement in AMMC, including casting and powder metallurgy (PM). Among all these fabrication techniques, PM is the most attractive process because it offers uniform distribution of the reinforcements, fine-grained structures and easy control of the microstructures (Chawla and Chawla 2014).
Researchers have developed various metal matrix composites to study the corrosion behaviour (Abbass et al. 2015; Alaneme and Bodunrin 2011; Almomani et al. 2016; Anaee et al. 2017; Bragaglia et al. 2019; Lozano et al. 2009; Loto and Babalola 2018; Qian et al. 2015; Saber et al. 2020; Shen et al. 2017; Sunitha and Manjunatha 2018; Suresh et al. 2018), wear resistance (Basavarajappa et al. 2007a, b; Dixit and Khan 2014; El-Aziz et al. 2015; Guerler 1999; Prasad 2007; Sahin and Ozdin 2008; Uzkut 2013), mechanical strength (Behera et al. 2019a, b, 2020; Cooke et al. 2016; Kumar et al. 2017; Radhika 2017; Sharma 2012) and erosion resistance (Acharya et al. 2008; Khan and Dixit 2020; Modi et al. 1999; Nguyen et al. 2016; Rattan and Bijwe 2007), those are manufactured either by stir-casting method (Abbass et al. 2015; Cuevas et al. 2018; Loto and Babalola 2018; Lozano et al. 2007; Onat et al. 2007) or by powder metallurgy process (Behera et al. 2019a, b; Kipouros et al. 2006; Qiu et al. 2020; Steedman et al. 2012). Form their observations, it is noticed that AMMCs are capable to improve the degradation of corrosion and erosion behaviors. The reinforcement introduced to an aluminum alloys has a greater potential to lengthen the area of engineering material applications. In contrast to tribo-logical investigations, the corrosion rate of the AMMC composite has higher than that of the matrix-alloys when immersed in sodium chloride (NaCl) solutions. This has been allocated to the localized-attack of the composite at the reinforcement-matrix interface, which is resulting in crack corrosion or pitting. These interfaces are preferred locations for passive film breakdown (pit initiation sites), contributing to the formation of non-homogeneities that create voids, resulting in easier break-down of the oxide layer. Therefore, the morphology and the length of the cavities generally differ between the composite and the matrix alloy. Here, the corrosion-behaviour of the aluminum-alloy reinforced with silicon-carbide (SiC) was examined and the corrosion tests were done with electrolyte of 5% by weight sodium chloride solution (NaCl). The composites were reinforced with silicon carbide (SiC) of the volume fraction (5%) to increase the wear resistance of the matrix. The type of reinforcement significantly influenced the corrosion behavior of the composites. The immersion result showed the improved corrosion-rate because the surface area of the reinforcement seemed to be notable parameter that influences the corrosion-mechanism of silicon-carbide reinforced composites. Suresh et al. (2018) found that an increase in the percentage of nano-SiC reinforcing elements in Al7075 alloys is beneficial to decrease the density as well as increase the strength of the material. Saber et al. (2020) investigated the corrosion behaviour of aluminium–silicon alloy metal–matrix composites reinforced by Al2O3 particles with different mass contents and obtained the greater resistance to corrosion due to increase in weight percentage Al2O3 reinforcements. Consequently, various authors have employed optimization techniques (Basavarajappa et al. 2007a,b; Ghosh et al. 2013; Mishra et al. 2009, 2014; Radhika et al. 2014; Turenne et al. 1990) in order to predict and control the corrosion as well as erosion wear rate of MMCs. For example, Mishra et al. (2009) have employed signal-to-noise ratio optimization technique of Taguchi method to determine the optimum erosion-wear behavior of fly ash illmenite coating using dry-silica sand as an erodent. Results showed that the impact-angle is the major factor and more erosion takes place at an angle 90°.
From the review of existing literature, it is identified that no credible studies were made on AMMC (Al–0.5Si–0.5Mg–2.5Cu–5SiC) manufactured by powder metallurgy technique. Although implementations of the Taguchi method and gray relational analysis have existed in the literature, to date, no systematic study has been reported to predict and control the erosion rate of the AMMC studied. Moreover, as per the author’s knowledge many studies have been executed on wear behaviour of various AMMCs, but no study is available on optimization of process parameters for minimization of wear response. Yet now, no literature is considered the RSM technique for optimization of erosion wear rate of MMCs. In order to maintain the existing research gap the present research addresses the erosion resistance behaviour of newly engineered aluminum metal matrix composite (Al–0.5Si–0.5Mg–2.5Cu–5SiC) manufactured by powder metallurgy technique. Combined approach of Taguchi’s orthogonal array (OA), design of analysis of variance, response surface methodology and desirability function approach have been subsequently employed for analysis, predictive modeling and optimization of erosion rate. Additionally, the effects of impact angle, stand-off distance and impact velocity on erosion rate are studied. Finally, an extensive SEM observation has been performed to analysis the erosion rate and erosion characteristics of AMMC under influence of the most dominant process parameter. All of these contributions stated above, bring to the uniqueness of the present research and somewhat diminish the gap between the literature and the current research.
2 Materials and methods
2.1 AMMC production process
In the present experiment, a metallurgical powder method for processing AMMC was adopted, and metal powder reinforcement was added to the matrix element. Aluminum used as the main raw material, called matrix element and has been reinforced with Si, Mg, Cu and SiC. The composite was manufactured, followed by different metal powder selections, the weighing, the blending/mixing, the compact pressing and the sintering. AMMC was reinforced with 5 wt% of silicon-carbide in the matrix-metal powder. Silicon (Si) with 325 mesh particle size with 99.87% purity, Magnesium (Mg) with 100 mesh particle size with 99.80% purity, Copper (Cu) with 325 mesh particle size with 99.77% purity and silicon carbide (SiC) with 325 mesh particle size with 99.55% purity were blended/mixed with aluminum powder with particle size of 325 mesh and purity of 99.55%. Silicon-carbide powder particles with 5 vol% fraction are blended properly in the 91.5Al–0.5Mg–0.5Si–2.5Cu mixture. The blended/mixed powders were filled inside a steel C-45 die and compacted inside digital compression test machine at a rate of loading 0.208 kN per second and the load was given up to 521.02 MPa (250.3 kN). Then the compacted green samples were collected from the die cavity and sintered inside a muffle type furnace maintained at temperature 620 °C. It was annealed for a day i.e. 24 h. The detail production of AMMC process route is shown in Figure 1.

AMMC (Al–0.5Si–0.5Mg–2.5Cu–5SiC) composite material preparation route.
2.2 Methodology
The present research addresses the corrosion and erosion behaviors of newly engineered AMMC material manufactured by powder metallurgy technique. The samples of Al–0.5Si–0.5Mg–2.5Cu–5SiC AMMCs were cut for the corrosion as well as erosion wear tests. The tests were done in conformity with ASTM G76 standards. Size of the samples (25 × 25 × 3) mm were prepared and mechanically polished with different grades emery papers. Corrosion tests were carried out in 5% NaCl solution (pH 8.37), which was prepared using standard procedures. The samples were degreased with acetone and then rinsed in distilled water before immersion in static 5% NaCl solutions in de-ionized water exposed to atmospheric air. The solution-to-specimen surface area ratio was about 150 ml/cm2. The results of the corrosion test were evaluated by measuring the weight loss every day for seven days (168 h). The weight loss in mg/cm2 for each sample was assessed by dividing the weight loss (measured with a digital electronic balance) by its total surface area, in accordance with ASTM G31 standard practice (Rohatgi et al. 1986). Here, the induction time period for the pit initiation of the composite was shorter than the matrix alloy. The growth rate of the oxide film in the composite was four to five times higher as compared to other researches (Deuis et al. 1997). The density of the oxide in MMC was also lower compared to the matrix metal and therefore, less resistant to diffusion of chlorine ions (Cl−) and subsequent localized corrosion. The 5 vol% fraction of fine SiC reinforcing particles resulted in greater resistance to active corrosion. The porosity of the gas trapped in the MMC encouraged corrosion rate by increasing the surface-area obtained for corrosion.
Similarly, sand blasting type erosion device (Figure 2) is employed for erosion wear testing where particles under the desired pressure falls on a stationary target. Erosion wear test of the AMMC materials were experimented under various operating parameters. The control parameters for the erosion wear testing were the angle of impingement/impact, impingement/impact velocity, and stand-off distance, each at four levels. Dry silica sand was used as an erosion agent i.e. erodent. Solid particles impinged the surface at a fixed velocity and, therefore, had momentum and kinetic energy, which has resulted the surface a shock effect and caused erosive wear. Samples were eroded at different angles of impingement, viz., 30°, 45°, 60° and 90°. The erodent was impinged at velocities 15, 45, 60 and 75 m/s. The samples were tested at different stand-off distance, i.e., at 10, 20, 30 and 40 mm. The range of the process parameters was selected after carrying out some pilot experiments with a fixed stand-off distance, and a detailed literature review was carried out to select the operational range of the process parameters. Table 1 presents the pilot experimental results of the erosion rate of metal matrix composite (Al–0.5Si–0.5Mg–2.5Cu–5SiC) when exposed to solid silica sand particles erosion of 10 mm fixed SOD at various impingement angles with different impingement velocities. A methodical approach popularly known as Taguchi’s L16 orthogonal array (OA) design of experiments was employed as experimental plan layout for erosion testing associated with sixteen numbers of trial runs. The performance of erosion tests was evaluated in term of erosion rate. Mathematically, the erosion wear rate was formulated as:

Experimental setup for erosion wear test.
Results for erosion rate under initial pilot experiments at fixed stand-off distance.
Impact angle (°) | Impact velocity (m/s) | |||
---|---|---|---|---|
15 | 45 | 60 | 75 | |
45 | 70.329 | 100.238 | 142.628 | 183.319 |
60 | 68.416 | 98.491 | 135.793 | 172.114 |
90 | 66.218 | 95.438 | 132.215 | 168.222 |
The experimental design-layout and the result of trials are reported in Table 2. The constraints under which the tests were executed, is presented in Table 3.
The experimental design layout (L16 orthogonal array) and results of erosion rate.
Test no. | Impact angle (°) | Stand-off distance (mm) | Impact velocity (m/s) | Erosion rate (mg/kg) |
---|---|---|---|---|
1 | 30 | 10 | 15 | 76.428 |
2 | 30 | 20 | 45 | 145.632 |
3 | 30 | 30 | 60 | 195.526 |
4 | 30 | 40 | 75 | 223.126 |
5 | 45 | 10 | 45 | 100.238 |
6 | 45 | 20 | 15 | 70.329 |
7 | 45 | 30 | 75 | 183.319 |
8 | 45 | 40 | 60 | 142.628 |
9 | 60 | 10 | 60 | 135.793 |
10 | 60 | 20 | 75 | 172.114 |
11 | 60 | 30 | 15 | 68.416 |
12 | 60 | 40 | 45 | 98.491 |
13 | 90 | 10 | 75 | 168.222 |
14 | 90 | 20 | 60 | 132.215 |
15 | 90 | 30 | 45 | 95.438 |
16 | 90 | 40 | 15 | 66.218 |
Experimental conditions for erosion test.
Erosion agent or erodent | Dry silica sand |
---|---|
Size of the erodent (μm) | 150–250 |
Impingement or impact angle (°) | 30, 45, 60, 90 |
Impingement or impact velocity (m/s) | 15, 45, 60, 75 |
Stand-off distance (mm) | 10, 20, 30, 40 |
Feed rate of erodent (g/min) | 12.5 |
Temperature | Room temperature |
Once the experiments were executed, the results of erosion wear rate were analyzed by various statistical tools such as, ANOVA, 3D surface effect plots, normal-probability plot associated with Anderson–Darling test, Kiviat radar diagram, and desirability plot. Additionally, eroded surface morphology was observed by implementing scanning electron microscope (JEOL, JSM-6480LV). A schematic layout of the methodologies proposed in this work, are presented pictorially in Figure 3.

Schematic layout of methodology proposed.
3 Results and discussion
3.1 Mechanical characterization and corrosion behaviour of AMMC
The AMMC material (Al–0.5Si–0.5Mg–2.5Cu–5SiC) manufactured by the powder metallurgy process is observed by scanning electron microscope. From Figure 4, it is seen that the mechanical properties are improved with an unchanging dispersion of reinforcing particles inside manufactured composite. The composite microstructure includes a mixture of primary alpha aluminum and primary copper along with the eutectic phase. The grain average size of the matrix element decreases with the instigation of silicon carbide. This is because the hardened particles can act as effective grain refiners. The grain size of the matrix decreased with increasing the number of reinforcing particles. The grains of the reinforced composites were purified by silicon carbide particles. The grain seeding sites are enhanced in the fabricated composites. The grains of the compounds made were cleaned, in part grain nucleation sites are enhanced in made compounds. This is due to the fact that the percentage of mass in the reinforcement phase, which prevents the free development of the α-Al grains and, in addition, refines the grains. The hardness of the AMMC (Al–0.5Si–0.5Mg–2.5Cu–5SiC) was measured by Vicker’s tester and a hardness value as 187.5 HV (i.e. at average of 10 measurements). The hardness was found to be more than that of aluminum metal and its density was recorded as 2.61 g/cm3. Thus, it was observed that the hardness of the Al metal–matrix-composite was affected its erosion wear behavior.

SEM micrograph of Al–0.5Si–0.5Mg–2.5Cu–5SiC MMC.
The corrosion behavior of MMC produced with respect to aluminum was tested with 5% weight of NaCl solution. The samples of both aluminum and (Al–Mg–Si–Cu–SiC) MMC prepared were immersed in NaCl solution in a beaker and the weight loss due to corrosion was measured periodically. The corrosion weight loss on each day for MMC and cast aluminum is illustrated in Figure 5. Initially corrosion mass loss of cast aluminum was more but after seventh day mass loss of MMC was more, and after 10th day the corrosive mass loss was uniform. The mass loss of the composites in comparison to the Al was higher which indicates that the Al–SiC particulate composites can be used satisfactorily in marine / saltwater environments. Figure 6 shows typical SEM micrographs of corroded surfaces of pure Al and AMMC, after exposure for 168 h in 5% by weight of NaCl solution at room temperature. It is clear that the surface of pure Al was severely damaged, especially in the grain boundaries, when compared to the corroded surfaces of the AMMC. The cracks developed along the grain boundaries. In addition to grain boundary corrosion, pitting corrosion was observed in the pure aluminium matrix, as well as in the AMMC.

Corrosion rate with respect to number of days.

SEM micrographs of the corroded surfaces of (a) pure Al, and (b) AMMC after exposure for 168 h (seven days) in NaCl solution at ambient temperature.
3.2 Development of predictive model by response surface methodology (RSM)
In the study, Design expert 11.0 is employed to examine the achieved experimental results of erosion rate in accordance with response surface methodology. It was used to develop the best fitted empirical-model that demonstrates a co-relation between the machining response characteristic (here, erosion rate ER) with the different process parameters (IA, SOD, IV). Regression equation for the response ER is presented by Eq. (1);
The results obtained for the erosion rate (ER) from experimental trails were analysed by employing statistical ANOVA to identify the validation of obtained experimental result. It is also involved to find the remarkable effect of the selected process-parameters and its interaction effect upon corresponding output response. The analysis of variation (ANOVA) table comprises the degree-of-freedom (DoF), sum of square (SS) and mean of squares (MS), factor contribution in total variation (Contr. %), probability (P) and Fisher (F) values. P-value and F-value are introduced to identify the statistical significance and adequacy of the developed regression model. If the P-value for any input parameter found to be under 0.05 (i.e. for 95% confidence level), then that of input parameter may be considered as having statistically-significant influence on corresponding output. If the calculated F-value is lower than the standardized Fisher’s value or P-value is greater than 0.05 for any factor, then that parameter considered as no effect on output result. ANOVA results of erosion rate (ER) model are presented in Table 4. It is found that the developed regression model for erosion rate by RSM is significant. At 95% confidence level, insight of probability (P) value followed by Fisher’s (F) value reveals that the most significant factor on ER is impact velocity with 80.42% contribution of total variation. The next excellent significant contribution on ER comes from the individual effect of impact angle which explains only 8.71% contribution. However, the factor stand-off distance and interactive terms (IA*IV, SOD*IV) reflect in-significant impact on ER, as their contribution are in considerable due to their larger P-value and lower F-value. To conclude, the error percentage of contribution is very little (i.e. 0.63% to ER), which indicates that no important parameter has been missed or any large measurement error has been involved.
ANOVA result for erosion rate (ER) model.
Sources | DoF | SS | MS | F | P | Control (%) | Remarks |
---|---|---|---|---|---|---|---|
Model | 9 | 36,614.2 | 4068.24 | 104.33 | 0.000 | 99.37 | Significant |
Linear | 3 | 33,212.4 | 3885.84 | 99.65 | 0.000 | 90.13 | Significant |
IA | 1 | 3210.6 | 1753.65 | 44.97 | 0.001 | 8.71 | Significant |
SOD | 1 | 368.7 | 1.29 | 0.03 | 0.862 | 1.00 | Insignificant |
IV | 1 | 29,633.0 | 6305.50 | 161.70 | 0.000 | 80.42 | Significant |
Square | 3 | 2602.9 | 847.66 | 21.74 | 0.001 | 7.06 | Significant |
IA2 | 1 | 1658.9 | 1880.78 | 48.23 | 0.000 | 4.50 | Significant |
SOD2 | 1 | 168.0 | 184.23 | 4.72 | 0.073 | 0.46 | Insignificant |
IV2 | 1 | 776.0 | 495.23 | 12.70 | 0.012 | 2.11 | Significant |
Two-way interaction | 3 | 798.9 | 266.29 | 6.83 | 0.023 | 2.17 | Significant |
IA*SOD | 1 | 103.0 | 240.95 | 6.18 | 0.047 | 0.28 | Significant |
IA*IV | 1 | 465.6 | 124.98 | 3.21 | 0.124 | 1.26 | Insignificant |
SOD*IV | 1 | 230.2 | 230.24 | 5.90 | 0.051 | 0.62 | Insignificant |
Error | 6 | 234.0 | 38.99 | 0.63 | |||
Total | 15 | 36,848.1 | 100.00 |
-
IA, impact angle; IV, impact velocity; SOD, stand-off distance.
To avoid the misleading conclusion, different diagnostic tests such as adequacy, effectiveness and goodness-of-fit were carried out for proposed regression model (ER). When the regression coefficient (R2-value) approaches to one, the predicted-model effectively fits within the actual data. For erosion rate (ER), the calculated R2-value was 0.994 which is very close to unity, which depicts statistical significance as well as goodness-of fit for the proposed model. Moreover, there is a very good degree of resemblance between the experimental and predicted value, as shown in Figure 7a. Thus, it is concluded that the proposed model has high effectiveness with good predictability. From the normal probability plot (see Figure 7b), it is noticed that all the parameters related to the regression model of ER are statistically remarkable/significant as the remaining points are falling linearly, which concluded that the associated errors were normally allocated. With lower AD-statistic (0.342 for ER) as well as larger P-value (i.e. 0.445 for ER) was established from Anderson-Darling test method. It was confirmed that the null-hypothesis can’t be rejected. Finally, it is concluded that, the proposed predictive model for erosion rate using RSM is efficient, statistically significant, adequate and also probabilistically validate as it has low probability value (less than 0.05), higher R2-value and larger AD-test P-value.

(a) Comparison between experimental and predicted values, and (b) normal probability plot for erosion rate.
3.3 Analysis on erosion rate
The process parameters (impact-angle, impact-velocity and stand-off distance) effects on the erosion-rate of the machined component are graphically analyzed by three-dimensional (3D) surface plot. The typical 3D surface plot shown in Figure 8 illustrates the impact of two process variables like impingement velocity and impingement angle on ER. It is identified that the rate-of-erosion decreases with increase in angle of impingement regardless of the velocity of impact. Erosion wear rate is the highest and maximum at the lowest impingement angle 30° and lowest and minimum at the highest impingement angle 90°. Since maximum erosion-wear occurs at lower impingement-angle, so the erosion is due to the ductile mechanism. The ductile material exhibits the maximum erosion-rate at an angle of impingement i.e. from 15° to 30°, while the erosion is highest at 90° for the brittle materials. Particles, when they hit the surface of the sample at a certain angle, the tangential-velocity of the sand-particles leads to a plastic-deformation in the composite. The erosion-rate shown in Figure 9 is higher at higher velocities. The higher the velocities, the greater the kinetic energy of the particles, consequently the rate of erosion will increase. Erosion rate at different impact angle with different impact velocity are shown in the Table 1 illustrates that increasing trend of erosion rate. Figure 10 presents the scanned electron microscopic images of the eroded surfaces of Al–Mg–Si–Cu–SiC MMC when the solid erodent particle subjected to different impact velocity erosion at SOD = 10 mm; IA = 60°. Figure 11 shows that the rate of erosion decreases with increasing SOD. This may be due to an increase in the stand-off distance increases the path traveled by the particles of erodent to impact on the surface. Therefore, particles lose a lot of kinetic energy before they hit the surface. When the impact rate decreases, the erosion rate also decreases. It is seen that the change in the rate of erosion during SOD is not very noteworthy/significant.

Effect plots for illustration of impingement angle and impingement velocity on erosion rate.

Effect plots for illustration of stand-off distance and impingement velocity on erosion rate.

Influence of impact velocity on eroded surface of Al–Mg–Si–Cu–SiC MMC at SOD = 10 mm; IA = 60°.

Effect plots for illustration of impact angle and stand-off distance on erosion rate.
In SEM micrograph (see, Figure 12), the silicon carbide particles in an Al–Mg–Si–Cu–SiC matrix composite actually changes the place of the predominant effect, reducing the net surface area of the reinforced particles. The erosion wear will also reduce due to agglomeration of silicon-carbide particles in the matrix-composite. The erosion rate that is detected on an eroded-surfaces where the SiC particles were not removed from the aluminum matrix due to erosion/abrasion. The higher the energy of the erosive impacts of the erodent, the more severe the attack on the composite. Therefore, at higher velocities, the suspended erodent particles scratch on the composite surface, rather than having a tangible effect because of the low toughness of SiC-particles and increased erosion resistance of the matrix elements.

SEM of micrograph of eroded surface of Al 0.5Si–0.5Mg–2.5Cu–5SiC composite at 90° of impact angle, 40 mm of stand-off distance, and 75 m/s of impact velocity.
3.4 Optimization using desirability function approach
The present study includes a mono-objective optimization based on desirability functional approach of RSM, which keeps the erosion rate to a minimum level. The parameters design is an effective way to improve the product quality as well as the process efficiency. Desirability functional approach is a statistical base multiple response robust parameter design methodology, which is employed for the solving the multi-objective optimization problems. The approach had focused with the correct amalgamation level parameters which would take the responsibility for fulfilling the requirements placed on each response. The criterion for achieving the optimization result is evaluated on the basis of general desirability, which is the weighted average geometric value. The respective desirability for the different performance characteristics is expressed within the range of 0–1. The response will be unaccepted or undesirable, if the desirability value approaches to ‘0’ and it will be more desirable or accepted if the value is close or equal to ‘1’.
For solving the parameters design problem by the desirability functional approach, the objective function may be written as;
The composite desirability function may be stated as Eq. (2);
Here, DF is a composite desirability function that finds the optimal setting by minimizing F(x) (i.e. maximizes DF, since it is highly desirable for optimization), di is the assigned desirability function for the ith desired output, and wi is the weight of di (considered equally importance) in this study.
For a goal to minimization of output, individual desirability function can be defined as Eq. (3);
where, Li and the Hi are the lowest and largest acceptable value of Y for the ith output response respectively.
Figure 13 shows the optimization plot based on desirability function analysis for erosion rate (ER), showing the optimum manufacturing conditions for AMMC (Al–0.5Si–0.5Mg–2.5Cu–5SiC) with an impact angle of 67°, stand-off distance of 26 mm, and impact velocity of 18 m/s. The estimated optimum value of erosion rate is 65.15 mg/kg.

Optimization plot for erosion rate using desirability function approach.
4 Conclusions
In this paper, experimental investigation, predictive modeling and response optimization of erosion wear rate on AMMC (Al–0.5Si–0.5Mg–2.5Cu–5SiC) is done by employing the combined approach of Taguchi’s orthogonal array (OA) – analysis of variance (ANOVA), response surface methodology (RSM)and desirability function analysis (DFA) to analyze the surface roughness and overcut. Also, corrosion behaviour of AMMC is analyzed. The following conclusions are obtained.
– ANOVA analysis followed by the surface effect plot reported that, the contribution of impingement velocity followed by impingement angle was found to be the noteworthy for the erosion wear rate.
– The predictive model proposed for the erosion rate using RSM was found statistically significant, adequate, and probabilistically validate due to its lower P-value, larger R2-value (0.994) and larger AD-test P-value (0.445).
– By solving the response optimization problem with RSM’s desirability function analysis, the optimum erosion rate for AMMC (Al–0.5Si–0.5Mg–2.5Cu–5SiC) with impingement angle of 67°, stand-off distance of 26 mm, and impingement velocity of 18 m/s. The estimated optimum value of erosion rate is 65.15 mg/kg.
– Incorporation of fine SiC particles into sintered matrix element can improve erosive wear resistance, by a factor of 200–300%.
– This improvement can be gained by the addition of as little as 5% SiC particles; further increases give only slight improvements in wear resistance.
– Porosity reduces erosive wear resistance and porosity may be produced by sintering with SiC content of 5% or above. Agglomeration of SiC particles also reduces erosion wear resistance.
– Initially, AMMC exhibited lower corrosion rates in 5 wt% NaCl solution than the pure aluminum and thereafter corrosion rate was uniform.
In terms of future work, this study can be extended to analyze the influence of some additional variables, such as type of abrasive materials as well as the abrasive grain size to improve the erosion rate. This PM technique can further be extended to other particles like Al2O3, TiC, TiB2, B4C etc. as reinforcement materials in the aluminum metal matrix for preparation and characterization of several MMCs. Although the results are quite adequate, this study can be extended to further application of other optimization techniques (GRA, GA, PSO) for comprehensive understanding the selection of appropriate process parameters and the control of erosion rate.
-
Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
-
Research funding: None declared.
-
Conflicts of interest: The authors declare no conflicts of interest regarding this article.
Nomenclature
- AMMC
-
aluminum metal matrix composite
- ANOVA
-
analysis of variance
- DFA
-
desirability function approach
- ER
-
erosion rate
- F
-
Fisher value
- GA
-
genetic algorithm
- GRA
-
grey relational analysis
- IA
-
impact angle
- IV
-
impact velocity
- MS
-
mean of squares
- OA
-
orthogonal array
- P
-
probability value
- PM
-
powder metallurgy
- PSO
-
particle swarm optimization
- R 2
-
coefficient of determination
- RSM
-
response surface methodology
- SEM
-
scanning electron microscope
- SOD
-
stand-off distance
- SS
-
sum of squares
References
Abbass, M.K., Hassan, K.S., and Alwan, A.S. (2015). Study of corrosion resistance of aluminum alloy 6061/SiC composites in 3.5% NaCl solution. Int. J. Mater. Mech. Manuf. 3: 31–35.10.7763/IJMMM.2015.V3.161Search in Google Scholar
Acharya, S.K., Dikshit, V., and Mishra, P. (2008). Erosive wear behaviour of red mud filled metal matrix composite. J. Reinf. Plast. Compos. 27: 145–152, https://doi.org/10.1177/0731684407082543.Search in Google Scholar
Alaneme, K.K. and Bodunrin, M.O. (2011). Corrosion behavior of alumina reinforced aluminium (6063) metal matrix composites. J. Miner. Mater. Char. Eng. 10: 1153–1165, https://doi.org/10.4236/jmmce.2011.1012088.Search in Google Scholar
Almomani, M.A., Tyfour, W.R., and Nemrat, M.H. (2016). Effect of silicon carbide addition on the corrosion behavior of powder metallurgy Cu 30Zn brass in a 3.5 wt% NaCl solution. J. Alloys Compd. 679: 104–114.10.1016/j.jallcom.2016.04.006Search in Google Scholar
Anaee, R.A., Salih, W.M., and Dawood, B.F. (2017). Improvement in corrosion behavior of Al–Ti alloy by adding 2 wt% magnesia and 1 wt% silicon carbide. J. Bio. Tribo. Corros. 3: 38.10.1007/s40735-017-0098-8Search in Google Scholar
Basavarajappa, S., Chandramohan, G., and Davim, J.P. (2007a). Application of Taguchi techniques to study dry sliding wear behaviour of metal matrix composites. Mater. Des. 28: 1393–1398, https://doi.org/10.1016/j.matdes.2006.01.006.Search in Google Scholar
Basavarajappa, S., Chandramohan, G., Mahadevan, A., Thangavelu, M., Subramanian, R., and Gopalakrishnan, P. (2007b). Influence of sliding speed on the dry sliding wear behaviour and the subsurface deformation on hybrid metal matrix composite. Wear 262: 1007–1012, https://doi.org/10.1016/j.wear.2006.10.016.Search in Google Scholar
Behera, R.K., Panigrahi, S.C., Samal, B.P., and Parida, P.K. (2019a). Mechanical properties and micro-structural study of sintered aluminium metal matrix composites by P/M technique. J. Mod. Manuf. Sys. Technol. 3: 89–97, https://doi.org/10.15282/jmmst.v2i2.2402.Search in Google Scholar
Behera, R.K., Samal, B.P, and Panigrahi, S.C. (2019b). Manufacture of die and their designing parameters for sintered AMC product. Mater. Tech. 107: 605, https://doi.org/10.1051/mattech/2020009.Search in Google Scholar
Behera, R.K., Samal, B.P., Panigrahi, S.C., and Muduli, K.K. (2020). Microstructural and mechanical analysis of sintered powdered aluminium composites. Adv. Mater. Sci. Eng. 2020: 1893475, https://doi.org/10.1155/2020/1893475.Search in Google Scholar
Bragaglia, M., Montanari, R., and Montesperelli, G. (2019). Effect of Al2O3 reinforcement and precipitates on corrosion behaviour of 2618 and 6061 aluminium MMCs. Corros. Eng. Sci. Technol. 54: 601–613, https://doi.org/10.1080/1478422x.2019.1645802.Search in Google Scholar
Chawla, K.K., and Chawla, N. (2014). Materials and manufacturing. In: Metal matrix composites: automotive applications. Materials and manufacturing: encyclopedia of automotive engineering, 1st ed. John Wiley & Sons. https://doi.org/10.1002/9781118354179.auto279.Search in Google Scholar
Cooke, R.W., Hexemer, R.L., Donalson, I.W.Jr., and Bishop, D.P. (2016). Press-and-sinter processing of a PM counterpart to wrought aluminum 2618. J. Mater. Process. Technol. 230: 72–79, https://doi.org/10.1016/j.jmatprotec.2015.11.011.Search in Google Scholar
Cuevas, A.C., Becerril, E.B., Martínez, M.S., and Ruiz, J.L. (2018). Corrosion of composites. Metal matrix composites wetting and infiltration, 1st ed. Springer International Publishing, pp. 227–271. https://doi.org/10.1007/978-3-319-91854-9_6.Search in Google Scholar
Deuis, R.L., Green, L., Subramanian, C., and Yellup, J.M. (1997). Corrosion behavior of aluminum composite coatings. CORROSION 53: 880–890, https://doi.org/10.5006/1.3290273.Search in Google Scholar
Dixit, G. and Khan, M.M. (2014). Sliding wear response of an aluminium metal matrix composite: effect of solid lubricant particle size. Jordan J. Mech. Indus. Eng. 8: 20–24.Search in Google Scholar
El-Aziz, K.A., Saber, D., Sallam, H., and El-Din, M. (2015). Wear and corrosion behavior of Al–Si matrix composite reinforced with alumina. J. Bio. Tribo. Corros. 1: 5, https://doi.org/10.1007/s40735-014-0005-5.Search in Google Scholar
Ghosh, S., Sahoo, P., and Sutradhar, G. (2013). Tribological performance optimization of Al–7.5%SiCp composites using the Taguchi method and grey relational analysis. J. Compos. 2013: 274527, https://doi.org/10.1155/2013/274527.Search in Google Scholar
Guèrler, R. (1999). Sliding wear behavior of a silicon carbide particle reinforced aluminum magnesium alloy. J. Mater. Sci. Lett. 18: 553–554.Search in Google Scholar
Khan, M.M. and Dixit, G. (2020). Evaluation of microstructure, mechanical, thermal and erosive wear behavior of aluminum-based composites. Silicon 12: 59–70, https://doi.org/10.1007/s12633-019-00099-4.Search in Google Scholar
Kipouros, G.J., Caley, W.F., and Bishop, D.P. (2006). On the advantages of using powder metallurgy in new light metal alloy design. Metall. Mater. Trans. A37: 3429–3436, https://doi.org/10.1007/s11661-006-1037-3.Search in Google Scholar
Kumar, A., Pal, K., and Mula, S. (2017). Simultaneous improvement of mechanical strength, ductility and corrosion resistance of stir cast Al7075–2%SiC micro- and nanocomposites by friction stir processing. J. Manuf. Process. 30: 1–13.10.1016/j.jmapro.2017.09.005Search in Google Scholar
Loto, R.T. and Babalola, P. (2018). Analysis of SiC grain size variation and NaCl concentration on the corrosion susceptibility of AA1070 aluminium matrix composites. Cogent. Eng. 5: 1–14, https://doi.org/10.1080/23311916.2018.1473002.Search in Google Scholar
Lozano, R.E., Gutiérrez, C.A., Pech-Canul, M.A., and Pech-Canul, M.I. (2007). Corrosion characteristics of hybrid Al/SiCp/MgAl2O4 composites fabricated with fly ash and recycled aluminum. Mater. Charact. 58: 953–960.10.1016/j.matchar.2006.09.012Search in Google Scholar
Lozano, R.E., Pech-Canul, M.A., Pech-Canul, M.I., and Quintana, P. (2009). Corrosion characteristics of Al–Si–Mg/SiCp composites with varying Si/Mg molar ratio in neutral chloride solutions. Mater. Corrs. 60: 683–689.10.1002/maco.200805164Search in Google Scholar
Mishra, S.C., Das, S., Satapathy, A., Ananthapadmanabhan, P.V., and Sreekumar, K.P. (2009). Erosion wear analysis of plasma sprayed ceramic coating using the Taguchi technique. Tribol. Trans. 52: 401–404, https://doi.org/10.1080/10402000802687874.Search in Google Scholar
Mishra, S.K., Biswas, S., and Satapathy, A. (2014). A study on processing, characterization and erosion wear behavior of silicon carbide particle filled ZA-27 metal matrix composites. Mater. Des. 55: 958–965, https://doi.org/10.1016/j.matdes.2013.10.069.Search in Google Scholar
Modi, O.P., Prasad, B.K., Dasgupta, R., Jha, A.K., and Mondal, D.P. (1999). Erosion–corrosion characteristics of squeeze-cast aluminium alloy/SiC composites in water and sodium chloride solutions containing sand. Mater. Sci. Technol. 15: 933–938, https://doi.org/10.1179/026708399101506607.Search in Google Scholar
Nguyen, V.B., Nguyen, Q.B., Zhang, Y.W., Lim, C.Y.H., and Khoo, B.C. (2016). Effect of particle size on erosion characteristics. Wear 348–349: 126–137, https://doi.org/10.1016/j.wear.2015.12.003.Search in Google Scholar
Onat, A., Akbulut, H., and Yilmaz, F. (2007). Production and characterisation of silicon carbide particulate reinforced aluminium–copper alloy matrix composites by direct squeeze casting method. J. Alloys Compd. 436: 375–382, https://doi.org/10.1016/j.jallcom.2006.07.057.Search in Google Scholar
Prasad, B.K. (2007). Investigation into sliding wear performance of zinc-based alloy reinforced with SiC particles in dry and lubricated conditions. Wear 262: 262–273, https://doi.org/10.1016/j.wear.2006.05.004.Search in Google Scholar
Prasad, S.V., and Asthana, R. (2004). Aluminum metal–matrix composites for automotive applications: tribological considerations. Tribol. Lett. 17: 445–453, https://doi.org/10.1023/b:tril.0000044492.91991.f3.10.1023/B:TRIL.0000044492.91991.f3Search in Google Scholar
Qian, D.S., Zhong, X.L., Hashimoto, T., and Liu, Z. (2015). Effect of reinforcements on the corrosion behavior of SiCp/AA2124 metal matrix composites. Corrosion 71: 1083–1092, https://doi.org/10.5006/1714.10.5006/1714Search in Google Scholar
Qiu, T., Wu, M., Du, Z., Chen, G., Zhang, L., and Qu, X. (2020). Microstructure evolution and densification behaviour of powder metallurgy Al–Cu–Mg–Si alloy. Powder Metall. 63: 54–63, https://doi.org/10.1080/00325899.2020.1719688.Search in Google Scholar
Radhika, N. (2017). Mechanical properties and abrasive wear behavior of functionally graded Al–Si12Cu/Al2O3 metal matrix composite. Trans. Ind. Inst. Met. 70: 145–157, https://doi.org/10.1007/s12666-016-0870-3.Search in Google Scholar
Radhika, N., Vaishnavi, A., and Chandran, G.K. (2014). Optimisation of dry sliding wear process parameters for aluminium hybrid metal matrix composites. Tribol. Ind. 36: 188–194.Search in Google Scholar
Rattan, R. and Bijwe, J. (2007). Influence of impingement angle on solid particle erosion of carbon fabric reinforced polyetherimide composite. Wear 262: 568–574, https://doi.org/10.1016/j.wear.2006.07.001.Search in Google Scholar
Rohatgi, P.K., Asthana, R., and Das, S. (1986). Solidification structures and properties of cast metal–ceramic particle composites. Int. Met. Rev. 31: 115–139, https://doi.org/10.1179/imr.1986.31.1.115.Search in Google Scholar
Saber, D., Abdel-Karim, R., Kandel, A., and Abd El-Aziz, Kh. (2020). Corrosive wear of alumina particles reinforced Al–Si alloy composites. Phys. Metal. Metallogr. 121: 188–194, https://doi.org/10.1134/s0031918x19120147.Search in Google Scholar
Sahin, Y. and Ozdin, K. (2008). A model for the abrasive wear behavior of aluminium based composites. Mater. Des. 29: 728–733, https://doi.org/10.1016/j.matdes.2007.02.013.Search in Google Scholar
Sharma, P. (2012). Determination of mechanical properties of aluminium based composites. Int. J. Emerg. Technol. 3: 157–159.Search in Google Scholar
Shen, R., Zhou, P., Xiao, D., and Song, M. (2017). Microstructure and corrosion properties of SiC/Al–Mg–Cu–Si–Sn composites. Sci. Eng. Compos. Mater. 24: 1–5, https://doi.org/10.1515/secm-2015-0280.Search in Google Scholar
Steedman, G., Bishop, D.P., Caley, W.F., et al.. (2012). Surface porosity investigation of aluminum–silicon PM alloys. Powder Technol. 226: 225–230, https://doi.org/10.1016/j.powtec.2012.04.049.Search in Google Scholar
Sunitha, N. and Manjunatha, K.G. (2018). Evaluation of corrosion studies of as casted and heat treated aluminum 6065 metal matrix composite by weight loss method. Mater. Today Proc. 5: 22727–22733, https://doi.org/10.1016/j.matpr.2018.06.651.Search in Google Scholar
Surappa, M.K. (2003). Aluminum matrix composites: challenges and opportunities. Sadhana 28: 319–334, https://doi.org/10.1007/bf02717141.Search in Google Scholar
Suresh, S., Harinath, G., and Devakumar, M.L.S. (2018). Corrosion behaviour of Al 7075/Al2O3/SiC MMNCs by weight loss method. J. Bio. Tribo. Corros. 4: 62, https://doi.org/10.1007/s40735-018-0182-8.Search in Google Scholar
Turenne, S., Chatigny, Y., Simard, D., Caron, S., and Masounave, J. (1990). The effect of abrasive particle size on the slurry erosion resistance of particulate-reinforced aluminium alloy. Wear 141: 147–158, https://doi.org/10.1016/0043-1648(90)90199-k.Search in Google Scholar
Uzkut, M. (2013). Abrasive wear behavior of silicon carbide particulate reinforced 2011 Aluminium alloy composites. Mater. Technol. 47: 635–638.Search in Google Scholar
© 2020 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Reviews
- Corrosion of rail tracks and their protection
- Electrogalvanization using new generation coatings with carbonaceous additives: progress and challenges
- Phytochemicals as steel corrosion inhibitor: an insight into mechanism
- Original articles
- Corrosion behavior of 15CrMo steel for water-wall tubes in thermal power plants in the presence of urea and its byproducts
- Stir zone stress corrosion cracking behavior of friction stir welded AA7075-T651 aluminum alloy joints
- Optimization of erosion wears of Al–Mg–Si–Cu–SiC composite produced by the PM method
- Annual reviewer acknowledgement
- Reviewer acknowledgement Corrosion Reviews volume 38 (2020)
Articles in the same Issue
- Frontmatter
- Reviews
- Corrosion of rail tracks and their protection
- Electrogalvanization using new generation coatings with carbonaceous additives: progress and challenges
- Phytochemicals as steel corrosion inhibitor: an insight into mechanism
- Original articles
- Corrosion behavior of 15CrMo steel for water-wall tubes in thermal power plants in the presence of urea and its byproducts
- Stir zone stress corrosion cracking behavior of friction stir welded AA7075-T651 aluminum alloy joints
- Optimization of erosion wears of Al–Mg–Si–Cu–SiC composite produced by the PM method
- Annual reviewer acknowledgement
- Reviewer acknowledgement Corrosion Reviews volume 38 (2020)