Next Article in Journal
Effect of Viscosity and Speed on Oil Cavitation Development in a Single Piston-Ring Lubricant Assembly
Next Article in Special Issue
Synthesis and Characterization of Novel Ti3SiC2 Reinforced Ni-Matrix Multilayered Composite-Based Solid Lubricants
Previous Article in Journal
Squeeze Flow of Bingham Fluids through Reticulated, Compressed Foams
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Surface Energy and Tribology of Electrodeposited Ni and Ni–Graphene Coatings on Steel

1
Department of Mechanical Engineering, University of Nevada, Reno, Reno, NV 89557, USA
2
Department of Chemical and Materials Engineering, University of Nevada, Reno, Reno, NV 89557, USA
*
Author to whom correspondence should be addressed.
Lubricants 2019, 7(10), 87; https://doi.org/10.3390/lubricants7100087
Submission received: 3 August 2019 / Revised: 27 September 2019 / Accepted: 4 October 2019 / Published: 9 October 2019
(This article belongs to the Special Issue Wear and Corrosion Resistant Coatings)

Abstract

:
Composite electrochemical coatings (CECs) are some of the most widely investigated coatings due to its versatility in tailoring physio-mechanical and tribological properties. The effectiveness of the CECs for tribological applications is dependent on the solid–liquid interfaces. The active and passive nature of the contact boundaries for a CEC with a solid/liquid interface is defined by the surface energy of these boundaries. Unless the effect of surface energy on the tribological properties of the CEC are understood, it is not possible to get a holistic picture on properties, such as corrosion and tribocorrosion. The present study investigates the surface energy of optimized nickel (Ni) and Ni–graphene (Ni–Gr) coatings and their effect on the dynamic friction and wear behavior. It was found that the addition of Gr to the Ni coating in small quantities could decrease the polar component of surface energy significantly than the dispersive component. The presence of Gr in the coating was able to reduce the wear while providing low friction. The Ni–Gr coating exhibited low surface energy that includes weak adhesive forces, which can prevent embedding of the wear particles during sliding.

Graphical Abstract

1. Introduction

Composite electrochemical coatings (CECs) are generating significant interest, both in research and in practical applications, particularly in transportation, electrotechnical, food, and textile industries [1,2,3]. CECs provide a unique technological edge to enhance the mechanical and tribological properties of the surface. Nickel (Ni) is one of the most common metal coatings used to synthesize CECs as it is characterized by superior corrosion resistance, and enhanced mechanical and tribological properties. Recently, graphene has been used in the electrodeposition of Ni composite coatings known as nickel-graphene (Ni–Gr) coatings for lubrication application. Such coatings are superior in tribological properties as compared to other hard CECs that consist of chromium, boron nitride, zirconium dioxide, PTFE, etc. [3,4]. Gr nanosheets and platelets, due to their layered crystal structure, have been extensively used as lubricant additives to enhance the tribological performance [5,6,7,8,9,10,11,12]. Gr being lightweight, impermeable, atomically thin, wear-resistant, mechanically strong, and inert, is one of the most sought-after materials for a composite coating. In addition, Gr in the form of nanosheets and platelets have been used as nanomaterial additives in composites and lubricants to enhance the tribological properties [13,14,15,16,17,18]. In a composite surface coating, graphene has been shown to provide the substrate surface with enhanced wear, corrosion, and hardness properties, which are significant in defining the tribological behavior [19,20,21,22]. Further, the presence of graphene in composite surface coatings provides high flexibility, which helps compensate micro curvatures or changes in surface roughness of coated substrate while still providing a stable coating. This aspect of graphene composite coatings has made it also suitable for flexible electronics and other electrotechnical applications.
The coating thickness, surface morphology, and mechanical properties vary depending on the electrodeposition process parameters used in the synthesis of Ni–Gr composite coating [23,24]. Additionally, these characteristics also affect the graphene particle distribution in the Ni metal matrix, hence, affect the tribological properties of the coating. The effect of coating characteristics on the mechanical and wear behavior of Ni–Gr composite coatings have been investigated [20,22,23,25]. Most of the focus was given on either wear resistance or corrosion resistance [24]. Coupling these will have a greater impact to understand the performance of the coatings, given that most corrosion-resistant elements are not wear-resistant and vice versa [20,22,25]. The tribological and mechanical performance of the coating has been related to the surface energy [26,27,28]. Fundamental understanding of surface energy on the coating performance is largely unknown [27,29]. It is necessary to understand that these tribological and surface interactions of the coatings affected by surface energy. The surface energy of the coatings has been known to vary with surface composition and topography [30,31]. The present study investigates the effect of the surface energy of Ni and Ni–Gr composite coatings and correlates them to the dynamic friction (henceforth referred to as ‘friction’ in the text) and wear behaviors. The surface energy effect of Gr in correlation to the friction and wear behavior of the composite surface will also be studied in this research.
Electrodeposition is one of the most economical and widely used electrochemical method of generating composite surface coatings on metallic substrates [32,33]. The electrodeposition process and modified versions of this process are being used for the fabrication of new devices, but they also have raised some new issues [34,35]. Extensive studies have been conducted for the investigation of effects of electrodeposition parameters, including bath composition, pH, deposition time, additive/surfactants, deposition current density, and bath temperature on the properties of deposited films [36,37,38]. Bath composition of the composite material and current density deposition parameter are observed to be the two main factors that influence the properties of the CECs, especially in case of pulse electrodeposition [32,39]. This is because they directly influence the composition, structure, and properties of coatings [40]. In most cases, the deposition rate of the coatings is also related to the deposition temperature [41]. It was observed from the previous studies that the composition of the Ni–Gr composite coatings is dependent on the deposition temperature if the remaining bath parameters were fixed [24,38]. The present study incorporates this knowledge to electrodeposit Ni and Ni–Gr composite coatings and understand how the surface energy and its various components affect the friction and wear mechanisms.

2. Materials and Methods

2.1. Electrodeposition

The Ni and Ni–Gr nanocomposite was deposited on the 25 × 25 × 15 mm3 1045 steel plate by electrodeposition in their respective Ni and Ni–Gr bath solutions. The detailed material composition of the 1045 steel is given in Table 1. The constituents of Ni and Ni–Gr bath solution are given in Table 2. In addition to similar chemical composition as of Ni, Ni–Gr electrochemical bath consists of 0.1 g/L of Gr nanoplatelets [19]. The Gr nanoplates used in this study are 6–8 nm thick layers with the length ranging from 5–25 μm. The details of the bath solution are provided in several previous studies, which can vary in the concentration of solvents based on the substrate material [19,42]. Before the deposition process, the steel samples were ground against the sandpapers of grit size 120, 240, 400, 600, 800, and 1000 to remove deep scratches and then were wet polished with diamond suspension polishing mixtures of sizes 15, 6, 3, and 0.05 μm on a polishing wheel. The polishing of steel was completed with a final polish using colloidal silica. To ensure uniformity of surface finish, each surface was profiled using a 3D optical profilometer (Rtec Instruments, San Jose, CA, USA). The profiling of the surface ensured that an average surface roughness (Sa) of 0.1 ± 0.05 μm was obtained after the polishing. The surface roughness measurements were recorded again after the plating process.
Pure nickel plate (99.5%) was used as an anode, and a rectangular steel sample was used as a cathode in the electrochemical setup. During the electrodeposition process, the following parameters were set throughout the process: Current density = 5.66 A/dm2, on–off pulse time = 10 ms, and duty cycle = 20%. The pH of the bath was maintained between 3.8 and 4.0 at a temperature of 40 °C. A 10% H2SO4 was used to decrease the pH levels as needed. The electrodeposition was carried out for 50 min. These optimized parameters are based on the author’s prior work on electrodeposited Ni–Gr coatings [42]. Three samples of each coating were prepared to ensure the repeatability of the process. An average thickness of ~10 μm is obtained for all Ni and Ni–Gr coatings.

2.2. Surface Characterization

The phase and structural analysis of the Ni and Ni–Gr coatings was performed using Raman spectroscopy (Thermo Fisher Scientific, Thermo Electron North America LLC, Waltham, MA, USA). Raman spectroscopy was carried out using a Thermo Scientific DXR Raman Microscope equipped with a 5 mW 532-nm laser averaging multiple area map points taken at 100× magnification. The Raman spectroscopy provides wavelength stability with less than 1 cm−1 for over 12 h period. Spectra were collected in the 1000–3500 cm−1 spectral region, with a grating resolution of 900 lines/mm. The exposure time was 2 s for 26 scans of 1 μm step along the line and three scans over 0.1 μm depth at each point.

2.3. Friction and Wear Tests

Reciprocating wear tests were performed on the 1045 steel, Ni coating, and Ni–Gr coating. The tests were performed under dry laboratory conditions (20% RH, 24 °C) with a 2 N constant normal load against a ceramic ball (silicon nitride (SiN)) of 11.5 GPa hardness. A sliding speed of 5 mm/s was maintained for a sliding distance of 4200 m. This test was chosen over other conventional tribological testing as it can provide better insights into the interface kinematics during the reciprocating form of sliding. The experiments were performed on an Rtec Multi-function Tribometer 5000 (Rtec Instruments, San Jose, CA, USA), equipped with a robust high-resolution capacitance load sensor, which can apply the normal load and measure the resulting friction force during sliding. Each test was performed three times to ensure repeatability. After the wear tests, the wear tracks were profiled using the 3D optical profilometer to investigate the wear track, and hence the wear performance.

2.4. Hardness Tests

Nanoindentations tests were performed on all the samples using a Hysitron Triboindenter TI950 (Bruker, Billerica, MA, USA) equipped with Berkovic probe. A maximum force of 10 mN was applied, and the hardness values were measured over ten different locations on the sample. The study reported the average of these hardness values with their standard deviation.

2.5. Contact Angle and Surface Energy Measurements

The surface energy and the interfacial tension between the composite surface and the liquids were evaluated using contact angle measurements with rame-hart contact angle Goniometer (rame-hart, New Jersey, NJ, USA). Liquids, namely, distilled water and 3.5% NaCl were used in these measurements as these liquids simulate some of the atmospheric conditions, which dictate the corrosion properties of coatings and surfaces. The sessile drop method was used, with distilled water and 3.5% NaCl as testing liquids to calculate the surface energy and its polar and dispersive components [43]. The contact angle of the steel, nickel, and nickel–graphene coated surfaces were measured using both liquids. The left and right contact angles of the sessile droplet were recorded and averaged over ten trials to find the average contact angle for each surface. All measurements had a difference in the left and right contact angles less than 2°. These steps ensured the repeatability and reliability of the contact angle measurements.

3. Results and Discussion

3.1. Raman Spectroscopy

The Raman spectra for Ni and Ni–Gr coatings at 532 nm laser excited at 5 mW for the range of 100–3500 cm−1 is shown in Figure 1. In the Raman spectra of Ni coating, there were no significant peaks observed, whereas for the Ni–Gr coating five peaks were observed at 1404 cm−1 (D-mode), 1583 cm−1 (G-mode), 1620 cm−1 (D’), 2775 cm−1 (2D-mode), and 3085 cm−1 (D+G-mode) [44,45,46]. This confirms the inclusion of Gr in the electrodeposited Ni–Gr composite coating.
The D and 2D-peak positions are dispersive in nature as they are dependent on the laser excitation energy [45]. The high intensity of the D peak indicates the presence of a large number of nucleation centers on the surface [47,48]. The low-intensity D’-peak shows that the coating has minimal impurities or there are minor surface charges in the Gr. The 2D-band confirms the graphitic sp2 phase, and the low intensity of the 2D-peak indicates the multi-layer nature of Gr used in the present study. The depth-based scans of 0.1 μm step on the Ni–Gr coating showed a similar intensity of G-band, as shown in Figure 1. This observation indicates the presence of Gr in the coatings below the surface. The distribution of Gr in the coating thickness should enable the coated surface to maintain consistent surface energy even after undergoing wear.

3.2. Surface Roughness

Studies [1,49] have shown that the surface roughness of the substrate can directly influence the electrodeposited coating characteristics, such as coating adhesion, and surface finish. Studies have shown that the surface roughness influences the interface toughness, which limits the coating thickness [50]. Hence, the surface roughness can be a defining factor in optimizing the coating characteristics. To understand the effect of graphene on the electrodeposit Ni–Gr coating characteristics, it is necessary to achieve consistent surface roughness on the steel substrate before the coating as well as after the coating. The surface profiles of the polished steel substrate are shown in Figure 2a. The thickness and the average surface roughness (Sa) of the electrodeposited Ni and Ni–Gr coatings obtained with the parameters described above are illustrated in Figure 2b,c respectively.
The Ni and Ni–Gr coating thickness as obtained were ~9.8 and ~9.7 μm, respectively. It can also be seen that the Sa of all the samples before and after the coating was within the range of 0.1 ± 0.05 μm. Hence, the comparison of these coatings for their tribo-metallurgical behavior was rational. The surface roughness and profile data indicated an excellent finish of electrodeposit coatings with a surface roughness that corresponded to the substrate surface.

3.3. Surface Energy of the Coatings

The surface energy of the coatings was calculated using Fowkes theory [51]. Based on Fowkes theory, the interactions between the surfaces and liquids are given as follows:
Young’s equation of surface energy:
σ S = σ SL + σ L cos θ
where, σ L is the overall surface tension of the wetting liquid, σ S is the overall surface energy of the solid, and σ SL is the interfacial tension between the surface and the liquids.
Dupre’s definition of adhesion energy:
I SL = σ S + σ L σ SL
where, I SL is the energy of adhesion per unit area between a liquid and a solid surface. By applying the Fowkes theory, adhesive energy between a solid–liquid can be separated into interactions between the dispersive components and between the non-dispersive (polar) components of the two phases. By separating the dispersive and polar components in the above two equations, the primary equation of the Fowkes’ surface energy theory is obtained as:
( σ L D ) ( σ S D ) + ( σ L P ) ( σ S P ) = σ L ( cos θ   + 1 ) 2
where, σ L P ,   σ L D ,   σ S P , and σ S D are the polar and disperse components of the surface energy for the liquid and solid. The following values were used to consider the contribution of water and NaCl solutions to the surface energy: Distilled water surface tension ( σ L 1 ) = 72.10 mN/m ( σ L 1 P = 52.20 mN/m; σ L 1 D = 19.90 mN/m), and 3.5% NaCl ( σ L 2 ) = 73.76 mN/m ( σ L 2 P = 22.20 mN/m; σ L 2 D = 51.56 mN/m) [52].
The contact angle of the steel, nickel, and nickel–graphene coated surfaces were measured using both liquids. The contact angle of distilled water and 3.5% NaCl measured on 1045 steel surface, Ni coating, and Ni–Gr coating is shown in Figure 3.
The measured contact angle, as well as the calculated surface energy values of 1045 steel, Ni coating, Ni–Gr coating, are given in Table 3. These measurements were used in the Fowkes’ surface energy calculations to obtain two linear equations (one equation for each liquid) correlating the dispersive ( σ S D ) and polar ( σ S P ) components of surface energy for the given solid surface. The variation in calculated surface energy values with its components for each surface are shown in Figure 4.
The results indicate that Ni–Gr coating had overall surface energy, which was about 82.84 % less than the Ni coating, while 75.6% less than the steel substrate. The presence of graphene was found to decrease the polar component of surface energy significantly than the dispersive component. It can also be observed that even though Ni and Ni–Gr coating shows a hydrophobic nature, they can show about a 38% decrease in contact angle when wetted by a 3.5% NaCl solution. Thus, the dispersive and polar components impact on the surface energy was evident from these data. The contact angle did not depend on the thickness of single-, bi-, and multilayer Gr [53,54]. Hence, small quantities of Gr present on the surface were sufficient to influence the surface energy.
According to Fowkes, dispersion interactions relate to London dispersion, arising from the electron dipole fluctuations, and the polar interactions. The low polar surface energy, in addition to the hydrophobic nature of Ni–Gr coatings, indicates that the London dispersion forces are weaker at the coating–fluid interface [55]. This shows that even though fluids with high dispersion surface energy can wet the Ni–Gr coating, the adhesion energy between the fluid and the surface can be low as can be observed in Table 3. This wetting property of Ni–Gr coating was significant when used in lubricated environments where high wettability with low polar surface energy surfaces was beneficial.

3.4. Hardness

Nanoindentations tests were performed on the 1045 steel, Ni coating, and Ni–Gr coating using a Hysitron Triboindenter TI950 with Berkovich probe. A maximum force of 10 mN was applied to measure the hardness of the substrate and coatings. The hardness of the surfaces of substrates and the coatings are given in Table 4. A maximum indentation depth of 0.283 μm was observed during the indentations. The hardness of the substrates was also compared against the hardness of the counter body, SiN ball. The surface of the counter body was over 40% harder than the Ni and Ni–Gr coatings. Considering this large difference in hardness between the surface and the counter body, the plowing effect of the counter body should lead to abrasive wear on the surface during sliding. It can be observed that the steel surface had a low hardness as compared to the coatings, while both Ni and Ni–Gr coatings had similar hardness. The increased hardness indicates that impervious and strong bonding of coating was obtained on the substrate. The similar hardness of both Ni and Ni–Gr coatings also shows that graphene in low volume fraction did not necessarily change the mechanical properties of the coating. Additionally, the large standard deviation (0.949) in the hardness of Ni coating as compared to the Ni–Gr coating might be due to the minor inconsistencies in the electrodeposited layers of Ni. These inconsistencies might have been minimized by the addition of Gr where the standard deviation of hardness was only 0.425. These observations indicate that Gr was a useful tribological material to modify the surface energy with enhanced structural homogeneity of the Ni–Gr electrodeposit.

3.5. Friction and Wear

Reciprocating sliding tests were performed to understand the friction and wear behavior of coating in correlation with the surface energy. The coefficient of friction and wear data were recorded by sliding SiN ceramic ball over the 1045 steel, Ni coated, and Ni–Gr coated surfaces. A normal load of 2 N on the ceramic ball of 3 mm diameter was applied over a sliding distance of 4200 m. The maximum Hertzian contact pressure under the static condition at the interface of the tribo-pair, SiN and 1045 steel, was calculated to be 1432.5 MPa with an expected maximum penetration depth of 0.012 mm [56]. The evolution of the coefficient of friction (COF) during sliding is shown in Figure 5. An average COF of 0.42 ± 0.06, 0.372 ± 0.09, and 0.194 ± 0.04 was observed for 1045 steel, Ni coating, and Ni–Gr coating, respectively. It can be observed that as sliding progressed, the COF increased for 1045 steel (18% increase over a distance of 4200 mm) and the Ni coated surface (12% increase over a distance of 4200 mm), while it decreased by 11% for the Ni–Gr coating.
The sliding conditions generate wear debris of varying sizes depending on the surface. In the case of 1045 steel, the wear has been shown to yield micro-sized particles, which can enter the asperity interface and induce a degenerative two-body and third-body-effect [57,58,59,60]. These micro-sized particles are less spherical and abrade the contact surface. Thus, the wear mechanisms under such situations would be abrasive wear. In the case of the Ni coating, the slow electrodeposition led to high nucleation with small refined grains that allowed it to generate sub-micron sized particles during wear. These sub-micron sized particles led to being more spherical that will roll off easily at the interface without abrading the surfaces, leading to a stable COF as the sliding progresses (after 2900 m). Finally, on the Ni–Gr coated surface the wear (after 2000 m of sliding) led to the exfoliation of graphene from the coating allowing the nanosized particles to enter the asperity contact, thus reducing asperity variations. The low surface energy of Gr enabled the Ni–Gr coating to have minimal adhesive friction, which was a resultant of the low polar surface energy for the coating. Further, Gr is a solid lubricant that helped easy shearing and reduced COF drastically. Additionally, the low surface energy of the of Ni–Gr coating aided in reducing the adhesion of Gr at the asperity interfaces, which provided for a low and consistent COF during sliding.
The wear depth observed after the reciprocating sliding tests on each surface is shown in Figure 6. The figure shows the 2D cross-section profile and 3D wear track profile after sliding a distance of 4200 m. In the present tribo-system, the wear coefficient of 1045 steel surface was 3.31 × 10−10, Ni coating was 2.95 × 10−11, Ni–Gr coating was 1.51 × 10−11, and the SiN counter body was 1.93 × 10−13. The profile of 1045 steel shown in Figure 6a indicates a wear depth of 0.36 μm with pits and embedded wear particles along the wear track. In order to further investigate the wear particle size generated during sliding on each substrate surface, the wear tracks were observed under a scanning electron microscope (SEM). The SEM images of the wear particles along the wear track can be observed in Figure 7a–c. The generation of large micron-sized wear particles (Figure 7a) during sliding causes entrapment of the particles at the asperity interface, which either led to pitting or embedding of the particle on the surface during repeated sliding. Since, steel exhibited moderately high surface energy with similar contact angles for distilled water and 3.5% NaCl, hence it could be expected to be susceptible to corrosion and tribocorrosion [42,61].
The wear profiles on Ni and Ni–Gr coatings are shown in Figure 6b,c respectively. The Ni coating exhibited a wear depth of ~0.16 μm with large built-up edges along the wear track (Figure 6b). The build-up edges during wear on the Ni coating was mainly due to the high polar surface energy of Ni. The high polar surface energy caused the adhesion of submicron-sized wear particles (Figure 7b) that led to the formation of buildup edges over the length of sliding. The Ni–Gr coating, on the other hand, exhibited a wear track of depth <0.1 μm and a width that was nearly 25% less than the 1045 steel or Ni coating. The wear debris along the wear track of Ni–Gr surface was much smaller than those found on the Ni surface (Figure 7c). It was clear from the SEM images that 1045 steel substrate without any coating generated large micron-sized particles while the Ni-coat generated sub-micron sized wear particles. The Ni–Gr-coat exhibited minimal wear while generating sub-micron to nano-sized wear particles [62]. There was no particle adhesion found on the counter body (SiN ball) as can be observed in Figure 7a–c (ball tip).
Observing the wear profiles and wear particles generated during sliding on the Ni and Ni–Gr coating, it is evident that the addition of Gr to Ni matrix can reduce the wear while providing low friction. This behavior can be attributed to the low surface energy of Ni–Gr surface, which reduces the adhesive forces between the wear particles and surface. The reduced adhesive forces result in a reduction in wear particle size and its agglomeration as can be observed in Figure 7c. When the dispersion of a liquid or solid lubricant (such as Gr particle) occurs during sliding on a surface, it is restrained by weak London interactions, which were enough to provide the lubrication effect. The generation of small sub-micron to nano-sized wear particles was a resultant of the low adhesive forces, which prevented embedding of wear particles at the tribo-interface during sliding. Hence, as the Gr exfoliated during sliding provided a well-lubricated tribo-interface without any agglomeration of particles or built-up edges.

3.6. Wear Mechanisms

To better understand the wear mechanisms that led to the observed wear profiles and wear debris, a phenomenological model describing the generation of wear debris and their interaction at the tribo-interface is shown in Figure 8. It can be observed in Figure 8a that sliding between the counter material and 1045 steel surface generated micron-sized wear particles through two-body abrasion mechanism. These wear particles get trapped at the tribo-interface during sliding leading to three-body abrasive wear particle that further generated micron-sized irregular shaped wear debris. Such three-body wear debris tended to increase the abrading effect further, leading to deep wear tracks. Additionally, the high surface energy of the steel surface could increase the interaction of these wear particles at the tribo-interface.
When the steel surface is coated with either Ni coating or Ni–Gr composite coating the surface energy interactions between the counter body and the coated surface changes, leading to unique wear mechanisms. Figure 8b describes the wear mechanism when sliding occurs between the counter body and Ni-coated steel surface. As sliding progresses the two-body abrasion generated sub-micron spherical wear particles, which were small enough to enter the asperity valleys. Though the overall surface energy of the Ni coating was higher than the 1045 steel surface, the dispersive surface energy of the Ni coating was lower. The low dispersive surface energy reduced the adhesive nature of the Ni wear particles. This physical nature of the wear particles in combination with the surface energy properties of the Ni coating led to reduced friction and abrasion at the tribo-interface. When sliding occurred between the counter body and Ni–Gr coated surface, the wear mechanism was similar to that observed for the Ni coating. In addition, there was also Gr exfoliation from the coating during sliding (Figure 8c). The structure of the graphene helped to easy shearing and further reduced the frictional force, wear rate, and debris formation. Hence, even a low concentration of Gr in the composite coating could enhance the tribological behavior of the surface.

4. Conclusions

The following conclusions could be drawn from the present study:
  • The surface roughness and profile data indicated an excellent finish of electrodeposit coatings with a surface roughness that corresponded to the substrate surface.
  • Ni–Gr coating had overall surface energy, which was about 82.84% less than the Ni coating, while 75.6% less than the steel substrate.
  • The presence of graphene was found to decrease the polar component of surface energy significantly than the dispersive component.
  • Fluids with high dispersion surface energy could wet the Ni–Gr coating, but the adhesion energy between the fluid and the surface could be low.
  • The addition of Gr to Ni matrix was found to reduce the wear while providing low friction.
  • The COF increased for 1045 steel (18% increase) and the Ni coated surface (12% increase), while it decreased by 11% for the Ni–Gr coating.
  • Wear on Ni–Gr coated surface led to the exfoliation of graphene from the coating allowing the nanosized particles to enter the asperity contact and reduce the COF.
  • The low surface energy of Ni–Gr coating was found to decrease the adhesive forces between the wear particles and surface.

Author Contributions

Conceptualization, A.S., P.K., and P.L.M.; Methodology, A.S., P.K., and A.H.; Software, A.S.; Validation, A.S., and A.H.; formal analysis, A.S., P.K., M.M., and P.L.M.; Investigation, A.S., P.K., and P.L.M.; Resources, M.M., and P.L.M.; Data curation, A.S.; writing-original draft preparation, A.S.; writing-review and editing, A.S., P.K., and P.L.M.; Visualization, A.S.; Supervision, M.M., and P.L.M.; Project administration, M.M., and P.L.M.

Funding

This research received no external funding.

Acknowledgments

The authors appreciate the facility and financial support by startup funding from the Department of Mechanical Engineering, and the Department of Chemical and Materials Engineering at the University of Nevada, Reno.

Conflicts of Interest

The authors declare no conflict of interest.

References

  1. Góral, A.; Lityńska-Dobrzyńska, L.; Kot, M. Effect of Surface Roughness and Structure Features on Tribological Properties of Electrodeposited Nanocrystalline Ni and Ni/Al2O3 Coatings. J. Mater. Eng. Perform. 2017, 26, 2118–2128. [Google Scholar] [CrossRef]
  2. Allahyarzadeh, M.H.; Aliofkhazraei, M.; Rezvanian, A.R.; Torabinejad, V.; Sabour Rouhaghdam, A.R. Ni-W electrodeposited coatings: Characterization, properties and applications. Surf. Coat. Technol. 2016, 307, 978–1010. [Google Scholar] [CrossRef]
  3. Ali, E. Solid Lubricants and Self-Lubricating Films. In Modern Tribology Handbook, Two Volume Set; CRC Press: Boca Raton, FL, USA, 2000. [Google Scholar] [CrossRef]
  4. Donnet, C.; Erdemir, A. Historical developments and new trends in tribological and solid lubricant coatings. Surf. Coat. Technol. 2004, 180–181, 76–84. [Google Scholar] [CrossRef]
  5. Sadeghinezhad, E.; Mehrali, M.; Saidur, R.; Mehrali, M.; Tahan Latibari, S.; Akhiani, A.R.; Metselaar, H.S.C. A comprehensive review on graphene nanofluids: Recent research, development and applications. Energy Convers. Manag. 2016, 111, 466–487. [Google Scholar] [CrossRef]
  6. Rasheed, A.K.; Khalid, M.; Rashmi, W.; Gupta, T.C.S.M.; Chan, A. Graphene based nanofluids and nanolubricants—Review of recent developments. Renew. Sustain. Energy Rev. 2016, 63, 346–362. [Google Scholar] [CrossRef]
  7. Saurín, N.; Sanes, J.; Bermúdez, M.-D. New Graphene/Ionic Liquid Nanolubricants. Mater. Today Proc. 2016, 3, S227–S232. [Google Scholar] [CrossRef]
  8. Gusain, R.; Mungse, H.P.; Kumar, N.; Ravindran, T.R.; Pandian, R.; Sugimura, H.; Khatri, O.P. Covalently attached graphene-ionic liquid hybrid nanomaterials: Synthesis, characterization and tribological application. J. Mater. Chem. A 2016, 4, 926–937. [Google Scholar] [CrossRef]
  9. Bandeira, P.; Monteiro, J.; Baptista, A.M.; Magalhães, F.D. Influence of oxidized graphene nanoplatelets and [DMIM][NTf2] ionic liquid on the tribological performance of an epoxy-PTFE coating. Tribol. Int. 2016, 97, 478–489. [Google Scholar] [CrossRef]
  10. Zhao, J.; He, Y.; Wang, Y.; Wang, W.; Yan, L.; Luo, J. An investigation on the tribological properties of multilayer graphene and MoS2 nanosheets as additives used in hydraulic applications. Tribol. Int. 2016, 97, 14–20. [Google Scholar] [CrossRef]
  11. Ramón-Raygoza, E.D.; Rivera-Solorio, C.I.; Giménez-Torres, E.; Maldonado-Cortés, D.; Cardenas-Alemán, E.; Cué-Sampedro, R. Development of nanolubricant based on impregnated multilayer graphene for automotive applications: Analysis of tribological properties. Powder Technol. 2016, 302, 363–371. [Google Scholar] [CrossRef]
  12. Blanco, D.; González, R.; Viesca, J.L.; Fernández-González, A.; Bartolomé, M.; Battez, A.H. Antifriction and antiwear properties of an ionic liquid with fluorine-containing anion used as lubricant additive. Tribol. Lett. 2017, 65, 66. [Google Scholar] [CrossRef]
  13. Dorri Moghadam, A.; Omrani, E.; Menezes, P.L.; Rohatgi, P.K. Mechanical and tribological properties of self-lubricating metal matrix nanocomposites reinforced by carbon nanotubes (CNTs) and graphene—A review. Compos. Part B Eng. 2015, 77, 402–420. [Google Scholar] [CrossRef]
  14. Tabandeh-Khorshid, M.; Omrani, E.; Menezes, P.L.; Rohatgi, P.K. Tribological performance of self-lubricating aluminum matrix nanocomposites: Role of graphene nanoplatelets. Eng. Sci. Technol. Int. J. 2016, 19, 463–469. [Google Scholar] [CrossRef] [Green Version]
  15. Kasar, A.K.; Xiong, G.; Menezes, P.L. Graphene-Reinforced Metal and Polymer Matrix Composites. JOM 2018, 70, 829–836. [Google Scholar] [CrossRef]
  16. Kasar, A.K.; Menezes, P.L. Synthesis and recent advances in tribological applications of graphene. Int. J. Adv. Manuf. Technol. 2018, 97, 3999–4019. [Google Scholar] [CrossRef]
  17. Omrani, E.; Menezes, L.P.; Rohatgi, K.P. Effect of Micro- and Nano-Sized Carbonous Solid Lubricants as Oil Additives in Nanofluid on Tribological Properties. Lubricants 2019, 7, 25. [Google Scholar] [CrossRef]
  18. Omrani, E.; Rohatgi, P.K.; Menezes, P.L. Tribology and Applications of Self-Lubricating Materials; CRC Press: Boca Raton, FL, USA, 2017. [Google Scholar]
  19. Kumar, C.M.P.; Venkatesha, T.V.; Shabadi, R. Preparation and corrosion behavior of Ni and Ni–graphene composite coatings. Mater. Res. Bull. 2013, 48, 1477–1483. [Google Scholar] [CrossRef]
  20. Algul, H.; Tokur, M.; Ozcan, S.; Uysal, M.; Cetinkaya, T.; Akbulut, H.; Alp, A. The effect of graphene content and sliding speed on the wear mechanism of nickel–graphene nanocomposites. Appl. Surf. Sci. 2015, 359, 340–348. [Google Scholar] [CrossRef]
  21. Berlia, R.; Punith Kumar, M.K.; Srivastava, C. Electrochemical behavior of Sn-graphene composite coating. RSC Adv. 2015, 5, 71413–71418. [Google Scholar] [CrossRef]
  22. Jiang, K.; Li, J.; Liu, J. Electrochemical codeposition of graphene platelets and nickel for improved corrosion resistant properties. RSC Adv. 2014, 4, 36245–36252. [Google Scholar] [CrossRef]
  23. Ren, Z.; Meng, N.; Shehzad, K.; Xu, Y.; Qu, S.; Yu, B.; Luo, J.K. Mechanical properties of nickel-graphene composites synthesized by electrochemical deposition. Nanotechnology 2015, 26, 065706. [Google Scholar] [CrossRef] [PubMed] [Green Version]
  24. Li, J.; An, Z.; Wang, Z.; Toda, M.; Ono, T. Pulse-reverse electrodeposition and micromachining of graphene–nickel composite: An efficient strategy toward high-performance microsystem application. ACS Appl. Mater. Interfaces 2016, 8, 3969–3976. [Google Scholar] [CrossRef] [PubMed]
  25. Chen, L.Y.; Konishi, H.; Fehrenbacher, A.; Ma, C.; Xu, J.Q.; Choi, H.; Xu, H.F.; Pfefferkorn, F.E.; Li, X.C. Novel nanoprocessing route for bulk graphene nanoplatelets reinforced metal matrix nanocomposites. Scr. Mater. 2012, 67, 29–32. [Google Scholar] [CrossRef]
  26. Lee, S.-K.; Jang, H.Y.; Jang, S.; Choi, E.; Hong, B.H.; Lee, J.; Park, S.; Ahn, J.-H. All Graphene-Based Thin Film Transistors on Flexible Plastic Substrates. Nano Lett. 2012, 12, 3472–3476. [Google Scholar] [CrossRef] [PubMed]
  27. Wang, C.; Brown, G.O.; Burris, D.L.; Korley, L.T.J.; Epps, T.H. Coating Architects: Manipulating Multiscale Structures To Optimize Interfacial Properties for Coating Applications. ACS Appl. Polym. Mater. 2019. [Google Scholar] [CrossRef]
  28. Jokari-Sheshdeh, M.; Mahboubi, F.; Dehghani, K. Structure and tribological behavior of diamond-like carbon coatings deposited on the martensitic stainless steel: The influence of gas composition and temperature. Diam. Relat. Mater. 2018, 81, 77–88. [Google Scholar] [CrossRef]
  29. Tysoe, W.T. 17 Surface Chemistry at the Tribological Interface. Surfactants Tribol. 2016, 2, 437. [Google Scholar]
  30. Emerson, J.A.; Garabedian, N.T.; Burris, D.L.; Furst, E.M.; Epps, T.H. Exploiting Feedstock Diversity To Tune the Chemical and Tribological Properties of Lignin-Inspired Polymer Coatings. ACS Sustain. Chem. Eng. 2018, 6, 6856–6866. [Google Scholar] [CrossRef]
  31. Tripathi, M.; Awaja, F.; Paolicelli, G.; Bartali, R.; Iacob, E.; Valeri, S.; Ryu, S.; Signetti, S.; Speranza, G.; Pugno, N.M. Tribological characteristics of few-layer graphene over Ni grain and interface boundaries. Nanoscale 2016, 8, 6646–6658. [Google Scholar] [CrossRef] [Green Version]
  32. Low, C.T.J.; Wills, R.G.A.; Walsh, F.C. Electrodeposition of composite coatings containing nanoparticles in a metal deposit. Surf. Coat. Technol. 2006, 201, 371–383. [Google Scholar] [CrossRef]
  33. Szeptycka, B.; Gajewska-Midzialek, A.; Babul, T. Electrodeposition and corrosion resistance of Ni–Graphene composite coatings. J. Mater. Eng. Perform. 2016, 25, 3134–3138. [Google Scholar] [CrossRef]
  34. Pagnanelli, F.; Altimari, P.; Bellagamba, M.; Granata, G.; Moscardini, E.; Schiavi, P.G.; Toro, L. Pulsed electrodeposition of cobalt nanoparticles on copper: Influence of the operating parameters on size distribution and morphology. Electrochim. Acta 2015, 155, 228–235. [Google Scholar] [CrossRef]
  35. Topolovec, S.; Krenn, H.; Würschum, R. Enhanced magnetic moment of ultrathin Co films measured by in situ electrodeposition in a SQUID. J. Magn. Magn. Mater. 2016, 397, 96–100. [Google Scholar] [CrossRef]
  36. Ibrahim, M.A.M.; Al Radadi, R.M. Noncrystalline cobalt coatings on copper substrates by electrodeposition from complexing acidic glycine baths. Mater. Chem. Phys. 2015, 151, 222–232. [Google Scholar] [CrossRef]
  37. Abou-Krisha, M.M. Influence of Ni2+ concentration and deposition potential on the characterization of thin electrodeposited Zn–Ni–Co coatings. Mater. Chem. Phys. 2011, 125, 621–627. [Google Scholar] [CrossRef]
  38. Jabbar, A.; Yasin, G.; Khan, W.Q.; Anwar, M.Y.; Korai, R.M.; Nizam, M.N.; Muhyodin, G. Electrochemical deposition of nickel graphene composite coatings: Effect of deposition temperature on its surface morphology and corrosion resistance. RSC Adv. 2017, 7, 31100–31109. [Google Scholar] [CrossRef]
  39. Yaghoubinezhad, Y.; Afshar, A. Design of Experiments for Pulse Reverse Electrodeposition of Graphene Oxide toward Hydrogen Evolution Reaction. ECS J. Solid State Sci. Technol. 2015, 4, M7–M17. [Google Scholar] [CrossRef]
  40. Tao, S.; Li, D.Y. Tribological, mechanical and electrochemical properties of nanocrystalline copper deposits produced by pulse electrodeposition. Nanotechnology 2006, 17, 65. [Google Scholar] [CrossRef]
  41. Abou-Krisha, M.M. Electrochemical studies of zinc–nickel codeposition in sulphate bath. Appl. Surf. Sci. 2005, 252, 1035–1048. [Google Scholar] [CrossRef]
  42. Nazir, M.H.; Khan, Z.A.; Saeed, A.; Siddaiah, A.; Menezes, P.L. Synergistic wear-corrosion analysis and modelling of nanocomposite coatings. Tribol. Int. 2018, 121, 30–44. [Google Scholar] [CrossRef]
  43. Rapp, B.E. Chapter 22—Measuring Surface Tension and Free Surface Energy. In Microfluidics: Modelling, Mechanics and Mathematics; Rapp, B.E., Ed.; Elsevier: Oxford, UK, 2017; pp. 453–465. [Google Scholar]
  44. Pimenta, M.A.; Dresselhaus, G.; Dresselhaus, M.S.; Cançado, L.G.; Jorio, A.; Saito, R. Studying disorder in graphite-based systems by Raman spectroscopy. Phys. Chem. Chem. Phys. 2007, 9, 1276–1290. [Google Scholar] [CrossRef] [PubMed]
  45. Ferrari, A.C.; Meyer, J.C.; Scardaci, V.; Casiraghi, C.; Lazzeri, M.; Mauri, F.; Piscanec, S.; Jiang, D.; Novoselov, K.S.; Roth, S.; et al. Raman Spectrum of Graphene and Graphene Layers. Phys. Rev. Lett. 2006, 97, 187401. [Google Scholar] [CrossRef] [PubMed] [Green Version]
  46. Gupta, A.; Chen, G.; Joshi, P.; Tadigadapa, S.; Eklund. Raman Scattering from High-Frequency Phonons in Supported n-Graphene Layer Films. Nano Lett. 2006, 6, 2667–2673. [Google Scholar] [CrossRef] [PubMed]
  47. Childres, I.; Jauregui, L.A.; Park, W.; Cao, H.; Chen, Y.P. Raman spectroscopy of graphene and related materials. New Dev. Photon Mater. Res. 2013, 19, 1–20. [Google Scholar]
  48. Yu, Q.; Jauregui, L.A.; Wu, W.; Colby, R.; Tian, J.; Su, Z.; Cao, H.; Liu, Z.; Pandey, D.; Wei, D. Control and characterization of individual grains and grain boundaries in graphene grown by chemical vapour deposition. Nat. Mater. 2011, 10, 443. [Google Scholar] [CrossRef] [PubMed]
  49. Kong, A.N.G.; Gong, B.-K.; Wang, G.; Cui, H.-W. Influence of surface roughness of substrate on the properties of Ni–Co–Fe electrodeposition coating on copper. Surf. Rev. Lett. 2017, 25, 1850120. [Google Scholar] [CrossRef]
  50. Nazir, M.H.; Khan, Z. Maximising the interfacial toughness of thin coatings and substrate through optimisation of defined parameters. Int. J. Comput. Methods Exp. Meas. 2015, 3, 316–328. [Google Scholar] [CrossRef]
  51. Fowkes, F.M. Attractive forces at interfaces. Ind. Eng. Chem. 1964, 56, 40–52. [Google Scholar] [CrossRef]
  52. Busscher, H.J.; Van Pelt, A.W.J.; De Boer, P.; De Jong, H.P.; Arends, J. The effect of surface roughening of polymers on measured contact angles of liquids. Colloids Surf. 1984, 9, 319–331. [Google Scholar] [CrossRef]
  53. Lin, J.; Wang, L.; Chen, G. Modification of Graphene Platelets and their Tribological Properties as a Lubricant Additive. Tribol. Lett. 2011, 41, 209–215. [Google Scholar] [CrossRef]
  54. Shin, Y.J.; Wang, Y.; Huang, H.; Kalon, G.; Wee, A.T.S.; Shen, Z.; Bhatia, C.S.; Yang, H. Surface-Energy Engineering of Graphene. Langmuir 2010, 26, 3798–3802. [Google Scholar] [CrossRef] [PubMed] [Green Version]
  55. French, R.H. Origins and applications of London dispersion forces and Hamaker constants in ceramics. J. Am. Ceram. Soc. 2000, 83, 2117–2146. [Google Scholar] [CrossRef]
  56. Puttock, M.J.; Thwaite, E.G. Elastic compression of spheres and cylinders at point and line contact. In Elastic Compression of Spheres and Cylinders at Point and Line Contact; Puttock, M.J., Thwaite, E.G., Eds.; Commonwealth Scientific and Industrial Research Organization: Melbourne, Australia, 1969; p. 64. [Google Scholar]
  57. Coronado, J.J. Abrasive Size Effect on Friction Coefficient of AISI 1045 Steel and 6061-T6 Aluminium Alloy in Two-Body Abrasive Wear. Tribol. Lett. 2015, 60, 40. [Google Scholar] [CrossRef]
  58. Hurricks, P.L. The mechanism of fretting—A review. Wear 1970, 15, 389–409. [Google Scholar] [CrossRef]
  59. Siddaiah, A.; Kasar, K.A.; Khosla, V.; Menezes, L.P. In-Situ Fretting Wear Analysis of Electrical Connectors for Real System Applications. J. Manuf. Mater. Process. 2019, 3, 47. [Google Scholar] [CrossRef]
  60. Reeves, C.J.; Menezes, P.L.; Lovell, M.R.; Jen, T.-C. The Size Effect of Boron Nitride Particles on the Tribological Performance of Biolubricants for Energy Conservation and Sustainability. Tribol. Lett. 2013, 51, 437–452. [Google Scholar] [CrossRef]
  61. Siddaiah, A.; Khan, A.Z.; Ramachandran, R.; Menezes, L.P. Performance Analysis of Retrofitted Tribo-Corrosion Test Rig for Monitoring In Situ Oil Conditions. Materials 2017, 10, 1145. [Google Scholar] [CrossRef]
  62. Menezes, P.L.; Ingole, S.P.; Nosonovsky, M.; Kailas, S.V.; Lovell, M.R. Tribology for scientists and engineers. In Tribology for Scientists and Engineers; Springer: Berlin, Germany, 2013; pp. 9–28. [Google Scholar]
Figure 1. Raman spectra of Ni and Ni–Gr coating on 1045 steel surface with a 532 nm excitation laser wavelength.
Figure 1. Raman spectra of Ni and Ni–Gr coating on 1045 steel surface with a 532 nm excitation laser wavelength.
Lubricants 07 00087 g001
Figure 2. 3D surface profile and average roughness of (a) 1045 steel substrate, (b) Ni coating, and (c) Ni–Gr coating.
Figure 2. 3D surface profile and average roughness of (a) 1045 steel substrate, (b) Ni coating, and (c) Ni–Gr coating.
Lubricants 07 00087 g002
Figure 3. Image of the droplets of distilled water and 3.5% NaCl on 1045 steel, Ni coating, and Ni–Gr coatings.
Figure 3. Image of the droplets of distilled water and 3.5% NaCl on 1045 steel, Ni coating, and Ni–Gr coatings.
Lubricants 07 00087 g003
Figure 4. Surface energy and its components (dispersive and polar) calculated for 1045 steel, Ni coating, and Ni–Gr coating.
Figure 4. Surface energy and its components (dispersive and polar) calculated for 1045 steel, Ni coating, and Ni–Gr coating.
Lubricants 07 00087 g004
Figure 5. Evolution of the coefficient of friction when sliding on 1045 steel and coated surfaces.
Figure 5. Evolution of the coefficient of friction when sliding on 1045 steel and coated surfaces.
Lubricants 07 00087 g005
Figure 6. Wear depth and wear track profiles of (a) 1045 steel, (b) Ni Coating, and (c) Ni–Gr coating.
Figure 6. Wear depth and wear track profiles of (a) 1045 steel, (b) Ni Coating, and (c) Ni–Gr coating.
Lubricants 07 00087 g006
Figure 7. SEM images of the wear particles around the wear track of (a) 1045 steel, (b) Ni coating, and (c) Ni–Gr coating.
Figure 7. SEM images of the wear particles around the wear track of (a) 1045 steel, (b) Ni coating, and (c) Ni–Gr coating.
Lubricants 07 00087 g007
Figure 8. Wear mechanism model during sliding of silicon nitride counter body against (a) 1045 steel, (b) Ni coated, and (c) Ni–Gr coated surfaces.
Figure 8. Wear mechanism model during sliding of silicon nitride counter body against (a) 1045 steel, (b) Ni coated, and (c) Ni–Gr coated surfaces.
Lubricants 07 00087 g008
Table 1. Material composition and physical properties of 1045 medium carbon steel.
Table 1. Material composition and physical properties of 1045 medium carbon steel.
Properties1045 Medium Carbon Steel
(ASTM A108)
Properties1045 Medium Carbon Steel
(ASTM A108)
Material CompositionIron98.21%–98.85%Yield Strength530 MPa
Carbon0.43%–0.50%Hardness190HV0.5
Manganese0.60%–0.90%Hardness ratingMedium
Phosphorus0%–0.04%Melting Point1427 °C
Silicon0.15%–0.30%Elongation19%
Sulfur0%–0.05%
Table 2. Constituents of Ni and Ni–Gr plating bath solution.
Table 2. Constituents of Ni and Ni–Gr plating bath solution.
Plating bath CompositionQuantity (g/L)
NiSO4·7H2O26.26
Na2SO456.81
H3BO418.54
Graphene (Gr)0.1
Table 3. Average contact angle of distilled water and 3.5% NaCl on 1045 steel, Ni coating, and Ni–Gr coating.
Table 3. Average contact angle of distilled water and 3.5% NaCl on 1045 steel, Ni coating, and Ni–Gr coating.
SurfaceContact Angle (θ)Surface Energy (mJ/m2)Overall Surface Energy (mJ/m2)Adhesive Energy (mJ/m2)
Distilled Water3.5% NaClDispersive ComponentPolar ComponentDistilled Water3.5% NaCl
1045 steel70.666.326.83 (26%)77.44 (74%)104.27 (100%)2.972.58
Ni Coat9558.518.06 (12%)129.96 (88%)148.02 (100%)13.5212.75
Ni–Gr Coat8652.95.15 (20%)20.25 (80%)25.4 (100%)11.9212.53
Table 4. Hardness of steel substrate and the coatings.
Table 4. Hardness of steel substrate and the coatings.
SurfaceH (GPa)Std. Dev.
1045 steel4.6320.443
Ni Coat6.6060.949
Ni–Gr Coat6.7690.425
SiN ball10.820.396

Share and Cite

MDPI and ACS Style

Siddaiah, A.; Kumar, P.; Henderson, A.; Misra, M.; Menezes, P.L. Surface Energy and Tribology of Electrodeposited Ni and Ni–Graphene Coatings on Steel. Lubricants 2019, 7, 87. https://doi.org/10.3390/lubricants7100087

AMA Style

Siddaiah A, Kumar P, Henderson A, Misra M, Menezes PL. Surface Energy and Tribology of Electrodeposited Ni and Ni–Graphene Coatings on Steel. Lubricants. 2019; 7(10):87. https://doi.org/10.3390/lubricants7100087

Chicago/Turabian Style

Siddaiah, Arpith, Pankaj Kumar, Artie Henderson, Manoranjan Misra, and Pradeep L. Menezes. 2019. "Surface Energy and Tribology of Electrodeposited Ni and Ni–Graphene Coatings on Steel" Lubricants 7, no. 10: 87. https://doi.org/10.3390/lubricants7100087

APA Style

Siddaiah, A., Kumar, P., Henderson, A., Misra, M., & Menezes, P. L. (2019). Surface Energy and Tribology of Electrodeposited Ni and Ni–Graphene Coatings on Steel. Lubricants, 7(10), 87. https://doi.org/10.3390/lubricants7100087

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop