1 Introduction

Aluminium is one of the widely available material in the earth's crust and has wide applications. It possesses properties like high strength, high toughness, and due to these characteristics it is preferred in the aerospace and automobile sectors [1,2,3,5]. Aluminium metal matrix composites (AMMC) are occupying great interest in industrial and manufacturing sectors due to its excellent properties like ductility, high strength, toughness, etc. [6]. Addition of reinforcement to matrix material enhances its mechanical and tribological properties. Some reinforcements like alumina (Al2O3), Boron carbide (B4C), Silica (SiO2), Silicon Carbide (SiC), Graphite (Gr), Tungsten carbide (WC) [7], and yttrium oxide are used to enhance the properties of the matrix material [810]. Various modelling and optimization techniques are being used nowadays in order to reduce the number of experiments performed and costs related to it. One of this type of modelling and optimization technique is Artificial neural network (ANN) [11]. ANN is the development of artificial intelligence to predict the behaviour of any material or a system [12, 13]. Various modelling and optimization techniques are being used nowadays in order to reduce the number of experiments performed and costs related to it. Pramod et al. [14] studied Al7075-Al2O3 composite and observed the wear behaviour, and analysed it using ANN. It was found that wear resistance improved in AA7075 reinforced with Al2O3. They also concluded that ANN is capable of predicting the wear loss. Atrian et al. [15] reinforced AA7075 with the nanoparticle of SiC and analysed ultimate tensile strength using neural network techniques like the stimulation of indentation test. Enhancement of about 300% was observed in ultimate tensile strength value. Mahanta et al. [16] reinforced Al7075 with 1.5wt% B4C and (0.5, 1.0, 1.5wt%) fly ash using the ultrasonic stir casting method. Scanning electron microscope (SEM) analysis revealed that oxidation and abrasion are the main constituents of wear. Kumar et al. [17] used response surface methodology (RSM) to study AA7075 and aluminium hybrid metal matrix composite. They concluded that wear rate decreases on increasing the transition speed and also specific wear rate for hybrid composite decreases on increasing the sliding distance. Response surface model gave error around 7% which is quite low. Dehghani et al. [18] optimized the bake hardening behaviour of Al7075 by using response surface methodology. They found that there is a good accord between the results predicted and found experimentally and also response surface methodology (RSM) provides high accuracy. Subramanian et al. [19] analysed the surface roughness of Al7075-T6 by using response surface methodology. It was observed that surface roughness increased exponentially concerning cutting feed rate, and surface roughness also increased with the decreasing cutting speed. Sivasankaran et al. [20] analysed the sliding behaviour of Al7075 with TiB2/Gr reinforcement by using RSM. It was found that reinforcement content, load, sliding distance, sliding velocity, are the factors that effect wear rate of the material. Vishwakarma et al. [21] using RSM did the modelling of ageing parameters of coefficient of thermal expansion and thermal conductivity of AA6082. It was observed that ageing temperature is the ruling factor of both ageing factors taken into consideration. They discovered that thermal properties improved by ageing treatment, increasing the applications of Al6082 alloy. Coyal et al. [22] studied mechanical and tribological properties of AMMC reinforced with SiC and Jute ash. They found that on the addition of reinforcement tensile strength and microhardness of alloy increases. With the increasing content of reinforcement wear rate of the composite decreases. Parikh et al. [23] observed the wear behaviour of cotton fibre polyester composites and modelling was done using ANN. The results show that proper wt% can control the wear rate of material and it was found that ANN is the best tool to forecast the materials’ wear behaviour. Abdelbary et al. [24] used pre-cracked nylon 66 and observed the effect of load frequency on wear properties and also by using ANN prediction of wear rate of pre-cracked Nylon 66. It was found that single transverse crack can be responsible for increasing the wear rate and ANN is effective in the prediction of wear rate. Merayo et al. [25] developed an ANN model for ultimate tensile strength and yield strength of aluminium alloys taking chemical composition, tempers, and hardness as input. They concluded that AI-based techniques can be used for prediction of tensile properties.

This study deals with the prediction and optimization of tribological properties of AMMC fabricated using friction stir processing (FSP). FSP contributes to the production of finer grains and enhanced mechanical properties with low production cost and in less time [26, 27]. Materials fabricated via FSP comprise reduced distortion and defects, compared to materials produced with other manufacturing processes [28]. AA7075 is reinforced with SiC as reinforcement and two models are developed, one using RSM and one with ANN methodology. In ANN, better model can be generated with fewer data points [29]. An attempt is made to conduct a comparative analysis of the predictive efficiency of the developed models. Morphology of the worn surface was done using SEM.

2 Experimental Procedure

2.1 Materials and Method

AMMC is developed taking AA7075 as matrix material, SEM image of the base material is shown in Fig. 1. The process like FSP can be easily performed on materials like aluminium [30]. Two lines having 50 holes each, each hole has a diameter of 2 mm and depth 3.5 mm, were drilled using CNC vertical milling machine on the centre of the base material. SiC powder having a particle size of around 40 μm was used as reinforcement and was filled in these holes in order to fabricate the surface composite.

Fig. 1
figure 1

SEM image of base material

Surface composites are prepared using friction stir processing. The composites fabricated have SiC (2 wt%) and are processed at three different FSP tool rotational speeds, i.e. 600, 900, and 1200 rpm. The tool which is used for processing is made of H13 tool steel, having a square tip with a tip length of 3.5 mm and a total length of 117 mm [31, 32]. The square tip was used in order to minimize the number of defects and distribute reinforcement uniformly [33]. Minimal defects and uniform distribution in composite fabricated with square pin tool are due to high amount of pulsation generated [34]. To fabricate the surface composite, first capping pass was done with a pinless tool to cover the holes filled with reinforcement powder. This is done to protect the loss of reinforcement from the holes during FSP tool pass. After the capping pass, FSP is carried out distributing reinforcement throughout the matrix uniformly. FSP setup and Process parameters are shown in Fig. 2 and Table 1.

Fig. 2
figure 2

Friction stir processing setup

Table 1 Process parameters of FSP

2.2 Wear Experimentation

AA7075/SiC surface composites are prepared using FSP at different tool rotational speeds (rpm), and are used as specimens for wear tests. The test is carried out as per ASTM G99-04 standards. Specimens cylindrical in shape of diameter 10 mm and length 6 mm are carved out of the fabricated surface composite. The test is carried out on DUCOM manufactured; the schematic representation of high-temperature rotatory tribometer is shown in Fig. 3. In this test, the specimens are held and slid against a disc under the action of specific applied load. The disc against which the specimens are slid is made up of EN24 steel, having a hardness of 58 HRC. As a result of the experiment the parameters like wear, frictional force are acquired. The linear wear is monitored via Linear variable differential transducer (LVDT) assembly. The test is carried out at three different applied loads, i.e. 20 N, 30 N, 40 N and for a sliding distance of 300 m, 600 m, 900 m. All the experiments are carried out according to the developed design of experiment, and are discussed in the following sections.

Fig. 3
figure 3

Schematic representation of High-temperature rotatory tribometer a side view b top view

2.3 Development of Mathematical Models Using RSM

Performing experiments, the number of times in order to get better results is a very time-consuming and costly process [35]. To overcome this problem, response surface method is used. RSM develops a mathematical model based on the input data. Generally, a second-order mathematical model is generated. For a model having three factors, i.e. X1, X2, and X3 the equation is given as follows:

Y = a + a1 X1 + a2 X2 + a3 X3 + a4 X1 ∗ X1 + a5 X2 ∗ X2 + a6 X3 ∗ X3 + a7 X1 ∗ X2 + a8 X1 ∗ X3 + a9 X2 ∗ X3.

Analysis of variance (ANOVA) is used to analyse the interaction of process parameters with the response. The F value signifies the statistical significance of the model. The probability value (P value) provides a base to evaluate the significant model terms, the confidence level of 95% or more works well. Adjusted mean square (Adj MS) measures how much variable a term or model explains and Adjusted sum of squares (Adj SS) explains the variation of different parts of the model. R2 coefficient determines the accuracy of the fitted polynomial model [36,37,38,39,]. For this study, modelling of data and experiment runs is done using Design Expert software. Box–Behnken design is used to generate 20 experimental runs for three factors having 3 levels each, and is shown in Table 2. The factors considered are FSP tool rpm (X1), sliding distance (X2), and applied load (X3). The generated experimental design generated by the software is shown in Table 3 In coded values.

Table 2 Factors and their level for design of experiment
Table 3 Experimental design in coded values

2.4 Artificial Neural Network (ANN)

Artificial Neural Network (ANN) is widely used for forecasting purposes. It assigns weights to all the provided input factors based on the data. On the basis of these weights assigned to each factor, the prediction is done. Its greatest advantage is that it can model complex nonlinear and multi-dimensional relations without any prior assumptions [24]. Self-organizing capability helps in developing a network purely from experimental data [37]. ANN is a network of neurons which are interconnected to each other. Similarly, like neurons present in the human body they learn to adapt to inputs [16]. ANN consists of input layers, output layers, and hidden layers. Data are collected by the input layer and via hidden layers, it gets transmitted to the output layer [11]. During this process, different weights are assigned to each input factors according to their function. ANN is mainly used for nonlinear statistical data modelling. ANN comprises two phases, 1. Training Phase and 2. Testing Phase. Input data are divided into two parts one used for training the data and other part is used for testing of the trained model.

3 Results and Discussion

3.1 Wear

In Figs. 4 and 5, wear and coefficient of friction are shown as a function of sliding distance at different applied loads. It can be observed from both the figures that wear and coefficient of friction increase with increasing value of sliding distance and applied load. This increase due to increase in load can be attributed to delamination wear and increase in applied pressure [38,39,40,41,42]. As at lower loads, there is low pressure between the mating surfaces and at higher loads, this pressure between the mating surfaces is high and increased wear is observed. With wear, the matrix area gets removed from the surface and produced debris, giving rise to higher abrasion resulting in higher wear loss [43]. It can also be observed that wear for composite fabricated at higher tool rpm is less as compared to the composite processed at lower rpm. This is because the number of cavities and defects are reduced on fabricating a composite at higher rpm, making matrix more uniform and hence reducing wear [44]. Similar types of results are reported by Alam et al. when they studied wear behaviour of A356 reinforced with SiCn [9].

Fig. 4
figure 4

Wear vs sliding distance at a 20 N applied load, b 30 N applied load, and c 40 N applied load

Fig. 5
figure 5

Coefficient of friction versus Sliding distance at a 20 N applied load, b 30 N applied load, and c 40 N applied load

3.2 Response Surface Modelling and Optimization

Minitab Software package is used for developing RSM models for coefficient of friction and wear. Tables 4 and 5 show the analysis of variance results for wear and coefficient of friction, respectively. Regression model equation for wear and coefficient of friction in coded factors is given in Eq. 1 and 2.

$$ {\text{Wear}} = -\, 405.9 + 0.3167 \, X1 + 0.2243 \, X2 + 18.06 \, X3 - \,0.000054 \, X1 \times X1 -\, 0.000063 \, X2 \times X2 -\, 0.1473 \, X3 \times X3 - 0000134 \, X1 \times X2 -\, 0.00814 \, X1 \times X3 + 0.00129 \, X2 \times X3 $$
$$ {\text{Coefficient}}\,{\text{of}}\,{\text{friction}} = 0.331 + 0.000098 \, X1 + 0.000166 \, X2 - 0.00971 \, X3 - \,0.0000 \, X1 \times X1 - \,0.000 \, X2 \times X2 + 0.000154 \, X3 \times X3 + 0.0000X1 \times X2 + 0.000005X1 \times X3 - \,0.000001 \, X2 \times X3 $$
Table 4 RSM ANOVA of regression equation results for wear
Table 5 RSM ANOVA of regression equation results for coefficient of friction

The F value for the wear model is 59.59 and the corresponding P value is 0.000, similar values can be seen in Table 4, it thus concludes that the developed model obtained is significant. For the model, the R2 value obtained is 0.9817 which is very close to 1 or considerably very high. It represents that actual value and predicted value are close enough which suggests it to be accurate. 98.17% of the total variation in wear can be associated with the experimental variables. Lack-of-fit value is 334.70 and probability of occurrence is almost 0%. The study reveals that the selected factors are appropriately produced and a relationship was established between the factors, by the obtained model. The P value for every coefficient was checked in order to evaluate the significance of the coefficient in the model. From Table 5, the F and P values obtained for the model developed for coefficient of friction are 44.67 and 0.000 respectively. The R2 value for the model obtained is 0.9719 considerably high. The model had a lack-of-fit value of 14.22 and there is only 0.2% that is due to noise lack of fit of F value would occur. It represents that the obtained model is significant and complete, hence, producing a successful mathematical relationship between the factors.

The input variables are optimised by models developed for a minimum value of the coefficient of friction and minimum wear. Figure 6 shows the optimum values for input variables for the minimum coefficient of friction and wear. The optimized composite is to be fabricated at 1200 tool rpm and should be applied with a load of 20 N for a sliding distance of 300 m, to get a corresponding value of 24.483 for wear and 0.1805 for coefficient of friction as predicted by the model, same is shown in Table 6.

Fig. 6
figure 6

Optimum results for minimum wear and coefficient of friction

Table 6 Solution of RSM optimization

3.3 Analysis of Response Surface and Plots

Figures 7 and 8 shows the surface and counter plots of variation in wear and coefficient of friction with various input factors. The projection of the 3-D graph on the 2-D plot is shown by counter plots. Different ranges of wear loss are shown in different colours. As the colour of the counter plot turns from dark green to light green and then blue, wear and coefficient of friction value decrease correspondingly. So, it can be predicted that wear and coefficient of friction in minimum for the material fabricated at higher FSP tool rpm and which are slided for less distance and at low load.

Fig. 7
figure 7

Surface plot for a wear versus load, tool rpm b wear versus load, sliding distance c wear versus sliding distance, tool rpm d coefficient of friction vs load, sliding distance e coefficient of friction vs load, tool rpm f coefficient of friction vs sliding distance, tool rpm

Fig. 8
figure 8

Counter plot for a wear versus sliding distance, tool rpm b wear versus load, tool rpm c wear versus load, sliding distance d coefficient of friction versus sliding distance, tool rpm e coefficient of friction versus load, tool rpm f coefficient of friction vs load, sliding distance

3.4 ANN Modelling

Feed Forward Back Propagation is used to train the ANN model in MATLAB software. The designed data of 20 runs were divided into 15 (75% of data) and 5 (25% of data) data sets. 15 data sets were used for training and the remaining 5 for testing purpose. Graphical representation of the model is given in Fig. 9. The model consisted of 3 input factors that are tool rpm, sliding distance, and applied load, respectively, 10 hidden layers were decided on the basis of the literature studied [9, 43] and two outputs. Figure 10 shows the predictive performance curve for the developed model. Due to well training of model good coincidence is there between predicted and experimental values. Regression coefficient (R) showed a value of 0.99996 which is close to 1 concludes that the model is of better quality.

Fig. 9
figure 9

Architectural representation of ANN model applied to the present study

Fig. 10
figure 10

Predictive performance curve for the present model

3.5 RSM and ANN Predictive Capacity Evaluation

RSM and ANN along with %absolute error for both wear and coefficients of friction, respectively, are calculated using Eq. 3

$$\%absolute error= \frac{\left|Xexp-Xpre\right|}{Xexp}*100$$
(3)

Here, Xexp is the experimental value and Xpre is the predicted values by the model developed. In Table 7 predicted value for wear can be seen, it can be observed that %absolute error given by RSM and ANN model is 6.266 and 2.3595, respectively. In Table 8, values predicted by the developed models can be observed and %absolute error shown by the RSM model is 3.2979 and by ANN model is 1.8075. From both the tables, it can be concluded that values predicted by ANN are more accurate to experimental data compared to the values predicted by RSM. ANN model developed works better for analysing and prediction of data. Similar results were obtained when Karnik et al. did a comparative study of RSM and ANN modelling for burr size in drilling [45].

Table 7 Predictive responses by RSM and ANN for wear
Table 8 Predictive responses by RSM and ANN for coefficient of friction

3.6 Wear Morphology

Figure 11 shows SEM images of the fabricated composite. SEM analysis was done in order to find the effect of load and tool rpm on the tribological behaviour. Wear tracks can be seen in the above images. Traces of oxide tribo-layer formation can be seen in the SEM images of the worn surface. This might be responsible for the improved tribological performance of the fabricated composite. Adhesion is seen in the images, reflecting that adhesive wear is the major wear mechanism taking place during the experiment. Figure 12 shows the elemental analysis of the fabricated composite samples. In Fig. 12, the presence of elements like C, O, Zn, Mg, Al, Si, and Fe is confirmed. The formation of oxide layer is confirmed with the presence of oxygen in the analysis. When the wear pins slide on the disc, the surfaces get heated up and as a result reaction between oxygen and iron or aluminium takes place, initiating the formation of the tribo-oxide layer. Similar types of results are discussed in the study elsewhere [46,47,48].

Fig. 11
figure 11

Worn-out surface morphology images of samples fabricated at a 600 tool rpm applied with 20 N load, b 600 tool rpm applied with 40 N load, c 900 tool rpm applied with 20 N load, d 900 tool rpm applied with 40 N load, e 1200 tool rpm applied with 20 N load, and f 1200 tool rpm applied with 40 N load

Fig. 12
figure 12

EDS of fabricated composite sample

4 Conclusion

  1. 1.

    With increasing applied load and sliding distance, both wear loss and coefficient of friction increases.

  2. 2.

    Wear resistance was enhanced for the fabricated surface composite at higher tool rotational speed.

  3. 3.

    Best wear resistance was shown by the surface composite fabricated at 1200 tool rotational speed (rpm) and sliding distance of 300 m at 20 N applied load.

  4. 4.

    Both response surface methodology (RSM) and artificial neural network (ANN) models were successfully developed.

  5. 5.

    ANN model best fitted the experimental values, concluding that ANN has a better predictive capacity.

  6. 6.

    Optimum experimental condition predicted by RSM is sliding distance of 300 m at an applied load of 20 N, for composite fabricated at 1200 tool rotational speed (rpm).

  7. 7.

    Scanning electron microscope (SEM) analysis of worn-out surface confirms that adhesive wear is the major wear mechanism.