4.4.2. Analysis of Variance (ANOVA)
Table 5 presents the general linear model for hardness, showing that the MWCNT weight percentage is the most significant factor, contributing 83.94% to the total variation, with a very high F-value (203.08) and a significant
p-value (0.001). This underscores the dominant role of MWCNT reinforcement in improving hardness by effectively distributing the loads and enhancing the matrix properties. The contribution of the load was 15%, which was significant, but secondary to the MWCNT content. The sliding speed and sliding distance had minimal contributions (0.13% and 0.62%, respectively) and were statistically insignificant (
p > 0.05). This suggests that the hardness is primarily influenced by the material composition rather than the external test parameters.
Table 6 provides the general linear model for interfacial shear strength, highlighting MWCNT weight percentage as the most influential factor, contributing 85.35% to the interfacial shear strength, with a significant impact (indicated by high F-values). This emphasizes the strong bonding between the MWCNTs and matrix, which enhances the load transfer and shear resistance. The load also played a notable role, contributing 14.31%, as higher loads activated more reinforcement potential. The sliding speed and sliding distance contribute negligibly (0.00% and 0.34%, respectively), indicating their limited effect on the shear strength. The results validate the critical role of MWCNT content in optimizing the interfacial adhesion and load transfer mechanisms.
Table 7 outlines the general linear model for the wear rate, where the MWCNT weight percentage again emerged as the dominant factor, accounting for 85.11% of the total variation. The extremely high F-value (905.57) and significant
p-value (0.000) confirmed its importance in reducing wear. The load is the next most significant factor, contributing 13.08%, as higher loads influence the material interaction at the interface. The sliding speed and sliding distance contributed minimally (0.79% and 0.94%, respectively), with marginal
p-values, suggesting a secondary influence on wear performance. This analysis highlights the importance of optimizing the MWCNT content for wear resistance, while the load also plays a supportive role in determining wear rates.
Table 8 displays the general linear model for the friction coefficient, showing that it is primarily influenced by the MWCNT weight percentage, which contributes 81.17% of the total variation. This indicates that MWCNTs significantly alter surface interactions and reduce friction through improved reinforcement and interfacial properties. The load contributed 16.63%, reflecting its role in modifying the contact pressure and friction behavior. The sliding speed and sliding distance had negligible effects, with contributions of 0.49% and 0.55%, respectively, and statistically insignificant
p-values. This result underscores the importance of MWCNT distribution and load as key factors in controlling the friction behavior in composite systems.
4.4.4. Influence of Factors Considered on the Results of Wear Test
Figure 13 illustrates the influence of load, sliding speed, MWCNT volume fraction, and sliding distance on hardness. The contour plot in
Figure 13a highlights the relationship between load, sliding speed, and hardness. Higher hardness values (>3.5 GPa) were achieved at higher loads (30–40 N) and intermediate sliding speeds (1–1.5 m/s). At lower loads (10–20 N) and low sliding speeds (0.5 m/s), the hardness reduces significantly (<2.5 GPa). This trend can be attributed to the enhanced stress transfer efficiency and better MWCNT alignment under higher loads, whereas moderate speeds ensure minimal wear-induced softening.
Figure 13b demonstrates that higher MWCNT volume fractions (0.3–0.4%) and increased loads (30–40 N) resulted in maximum hardness (>4 GPa). At low MWCNT fractions (0.1–0.2%) and low loads (10–20 N), the hardness remains below 2.5 GPa. This pattern highlights the synergistic effect of higher MWCNT content and applied load, ensuring uniform stress distribution and improved interfacial bonding, enhancing the mechanical properties of the composite [
48,
49].
Figure 13c indicates that higher loads (30–40 N) combined with intermediate sliding distances (1000–1500 m) resulted in peak hardness values (>3.5 GPa). At shorter sliding distances (500 m), the hardness decreased slightly because of the limited interaction between the asperities and reinforcement. Conversely, longer distances (>1500 m) at lower loads exhibited reduced hardness (<2.5 GPa) owing to the matrix degradation.
In
Figure 13d, the contour plot reveals that high MWCNT content (0.3–0.4%) and moderate sliding speeds (1–1.5 m/s) are ideal conditions for achieving maximum hardness (>3.5 GPa). At lower MWCNT concentrations (0.1–0.2%) and sliding speeds (<0.5 m/s), the hardness remained low (<2.5 GPa). The consistent enhancement with higher MWCNT content is due to the improved load transfer mechanisms and effective dispersion.
Figure 13e illustrates that intermediate sliding speeds (1–1.5 m/s) and sliding distances (1000–1500 m) contribute to high hardness values (>3.5 GPa). At low sliding speeds (0.5 m/s) and short distances (500 m), the hardness remains below 2.5 GPa. Excessive sliding distances (>1500 m) at higher speeds tended to slightly reduce the hardness, possibly because of wear-induced thermal effects.
Figure 13f confirms that a higher MWCNT content (0.3–0.4%) and intermediate sliding distances (1000–1500 m) yielded maximum hardness (>4 GPa). At lower MWCNT fractions (0.1–0.2%) and shorter distances (500 m), the hardness values remain below 2.5 GPa. The combination of the optimal MWCNT content and adequate sliding distance ensures the effective stress transfer and structural integrity of the composite, which is reflected in the enhanced hardness [
50,
51].
The contour plots in
Figure 13f and
Figure 14a provide insights into the interfacial shear strength (ISS) under varying combinations of load, sliding speed, MWCNT weight percentage, and sliding distance. In
Figure 14a, the ISS is observed to increase significantly with higher loads and sliding speeds, particularly beyond 30 N and 1.5 m/s, highlighting the optimal conditions for an effective load transfer between the MWCNTs and the matrix. Similarly,
Figure 14b shows that the MWCNT weight percentage is a dominant factor, with ISS peaking at 0.4% MWCNT content and higher loads, which is attributed to enhanced interfacial adhesion and stress distribution.
Figure 14c reveals a consistent increase in ISS with higher loads and sliding distances, particularly beyond 1500 m and 35 N, emphasizing the impact of extended sliding interactions in strengthening the interphase region.
Figure 14d illustrates that higher sliding speeds and MWCNT content synergistically improve the ISS, with pronounced effects at elevated MWCNT concentrations under dynamic loading conditions. In
Figure 14e, ISS improves as sliding speed and distance increase, with notable gains at sliding speeds above 1.5 m/s and sliding distances exceeding 1500 m, indicating the reinforcing effect of prolonged dynamic interactions. Finally,
Figure 14f demonstrates the interplay between the MWCNT weight percentage and sliding distance, where the ISS peaks at 0.4% MWCNT and sliding distances beyond 1500 m, underscoring the importance of the MWCNT concentration and operational conditions in enhancing the interfacial properties.
Overall, the results highlight the critical role of MWCNT weight percentage and load in determining ISS, with the sliding speed and distance contributing synergistically under dynamic conditions. These observations provide valuable guidance for optimizing material parameters to improve composite performance in diverse wear scenarios.
The correlogram in
Figure 15 provides a comprehensive visualization of the interrelationships among the load (N), sliding speed (m/s), MWCNT weight percentage (%), sliding distance (m), hardness (GPa), interfacial shear strength (ISS, MPa), wear rate (mm
3/N·m), and friction coefficient (μ). The heatmap employed a color-coded scale, where red indicates strong positive correlations, blue represents strong negative correlations, and lighter shades signify weaker correlations or negligible relationships. The analysis revealed a significant positive correlation between the MWCNT weight percentage and both the hardness (GPa) and interfacial shear strength (MPa), with correlation coefficients approaching 0.8. This aligns with the well-documented role of MWCNTs as reinforcements, which enhances the mechanical and interfacial properties of the composite. Similarly, the sliding distance showed a moderate positive correlation with hardness, reflecting the influence of the extended dynamic interaction on wear-induced work hardening.
A strong negative correlation was observed between the MWCNT weight percentage and wear rate (mm3/N·m), as well as between the hardness and wear rate. This indicates that higher MWCNT concentrations and improved hardness significantly reduced material loss during wear, validating the effectiveness of MWCNTs in enhancing wear resistance. Conversely, the wear rate showed a positive correlation with the friction coefficient, suggesting that higher wear rates are associated with increased frictional forces, likely due to surface degradation. Interestingly, the load exhibits a dual effect, showing moderate positive correlations with both hardness and interfacial shear strength, while also contributing to an increased wear rate under higher operational stresses. Sliding speed, however, demonstrates weaker correlations across most parameters, indicating that it has a more nuanced or secondary role than other variables.
The surface plots presented in
Figure 16a–d provide an insightful visualization of the interrelationships between critical parameters influencing the mechanical and tribological performance of the composite.
Figure 16a illustrates the relationship between the hardness (GPa), interfacial shear strength (MPa), and wear rate (mm
3/N·m). The plot reveals a region of high hardness coinciding with the increased interfacial shear strength and decreased wear rate, emphasizing the role of robust interfacial bonding in achieving superior wear resistance and mechanical strength.
Figure 16b shows the interaction between hardness (GPa), interfacial shear strength (MPa), and friction coefficient (μ). The plot shows a decrease in the friction coefficient with increasing hardness and interfacial shear strength, suggesting that improved interfacial bonding and material hardness mitigated frictional losses during sliding wear.
Figure 16c shows the correlation between interfacial shear strength (MPa), wear rate (mm
3/N·m), and friction coefficient (μ). This highlights that a higher interfacial shear strength significantly reduces the wear rate and friction coefficient, validating the effectiveness of MWCNT reinforcement and interfacial engineering in enhancing the tribological performance of the composite.
Figure 16d shows the interdependence of hardness (GPa), wear rate (mm
3/N·m), and friction coefficient (μ). The plot indicates a region of low wear rate and friction coefficient corresponding to a high hardness, reflecting the superior performance of the composite under optimized conditions.
The results confirmed expectations, with 0.3–0.4 wt.% MWCNTs significantly improving hardness, wear resistance, and interfacial bonding. Some deviations were noted at higher CNT concentrations due to agglomeration effects, and there were slight differences in failure modes between MD simulations and experiments. Overall, this study validates MWCNT reinforcement for enhancing bio-based epoxy composites while highlighting areas for further optimization [
52]. MWCNT additives enhance lubricating oils for gear systems, bearings, and hydraulic transmissions, improving wear resistance and efficiency in automotive and industrial applications. However, oil discoloration and nanoparticle toxicity pose challenges. Future research should focus on eco-friendly CNT modifications to balance performance with environmental safety.