Investigating the Impact of Monolayer and Multilayer PVD Coatings on Cutting Tool Friction Factor

Investigating the Impact of Monolayer and Multilayer PVD Coatings on Cutting Tool Friction Factor | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Investigating the Impact of Monolayer and Multilayer PVD Coatings on Cutting Tool Friction Factor Kumaradhas Paulian, Vijayanand Manickam, Venkatesan Tharanipathy This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4336269/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract The purpose of the paper is to examine the ZrSiN, monolayer TiN, and multilayer TiSiN PVD coatings' friction factors on tempered steel 45X (50 HRC) and steel 45 (180 HB). The tribological characteristics were studied using tribometer. The registered values of friction factor were transferred to the computer using an analog to digital converter. TiN coatings on both steel 45 (180 HB) and the tempered steel 45Х (50 HRC) shows an increase in friction factor. Friction factor of TiSiN coating at 70V and 150 V also increases with time. In case of ZrSiN, the friction factor remains constant for both the tool materials for deposition current of 150V.The results of the investigations provide useful information for applying ZrSiN PVD coating for the improvement of tool life of cutting tools. The paper contributes to better understanding of the friction properties of monolayer TiN, multilayer TiSiN, and ZrSiN PVD coatings deposited on steel 45 (180 HB) and the tempered steel 45Х (50 HRC). Monolayer and multilayer coatings Friction factor Wear mechanism. Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Introduction Machining involves the removal of material to create products, utilizing specialized tools designed for cutting the workpiece material. This subtractive manufacturing process is employed to shape and enhance the surface properties of parts according to specific design requirements [ 1 ]. The longevity of cutting tools is significantly diminished when machining steel at elevated cutting speeds and feed rates with High-Speed Steel (HSS) tools. The uncoated HSS tools exhibit suboptimal cutting characteristics, resulting in a short tool lifespan and often preventing the attainment of a satisfactory surface finish. To address these issues, the utilization of Physical Vapor Deposition (PVD) coated cutting tools can enhance cutting characteristics and improve both tool life and surface finish [ 2 ]. PVD coatings are used in manufacturing to enhance component’s mechanical, tribological, and aesthetic qualities beyond what can be achieved with conventional techniques in a way that is safe for the environment [3]. Among the commercially available coatings, PVD TiN is today probably the most commonly used [ 4 ]. Titanium Nitride (TiN) serves as an uncomplicated and economically viable coating for safeguarding cutting, plastic molding, and cold forming tools against wear. It proves particularly effective for the wear protection of High-Speed Steel (HSS) cutting tools engaged in operations at low to moderate cutting speeds. Common applications involve the drilling, milling, and turning of mild steels at cutting speeds not exceeding 100 m/min. Additionally, the distinctive gold color of the TiN coating makes it an excellent visual indicator for tracking wear [ 5 ]. Because of their great hardness, resistance to corrosion and wear, and gold-like appearance, TiN coatings are widely utilized in industrial applications for a variety of purposes, from decorative items to machining equipment [ 6 ]. Using the Magnetron Sputtering technique, the Physical Vapour Deposition (PVD) process can create smooth surfaces at lower temperatures with excellent mechanical and tribological properties and excellent adhesion to the primary substrate materials [ 7 ]. Nitrides have been most commonly used as the compositions for hard protective coatings owing to their valuable mechanical and thermal stabilities. Super hardness above 40GPa has been obtained in nano-multilayered coatings of TiN/NbN, TiN/VN, TiN/CrN, TiN/Cx and ZrN/CNx[ 8 ]. AlTiN/TiSiN-coated WC materials provide the best wear performance at all loads and temperatures, with TiN-coated and uncoated WC samples coming in second and third, respectively. One noteworthy finding is that samples tested at room temperature did not exhibit wear. The samples' wear resistance noticeably decreases with increasing temperature. Furthermore, it was observed that the uncoated WC sample's wear mechanism changed as the load and temperature increased. Among the wear mechanisms for the WC that were seen at high temperatures were oxidation and delamination. [ 9 ]. The mechanical and performance features of the Ti–TiN–(Ti,Al,Si)N multilayer composite coating were examined in relation to the thickness of a nano-structured wear-resistant layer. The coatings with wear-resistant layers that had thicknesses of 2, 3.5, 5, 7, 11, and 15 µm were the main focus of the investigation. The impact of the aforementioned thickness on hardness and wear resistance in scratch testing was taken into consideration, as well as the relationship between the thickness of a wear-resistant layer and the duration of its deposition. Cutting tests were carried out at different cutting speeds (vc = 250, 300, and 350 m/min) on turning steel C45 with carbide inserts and the coatings under investigation. The study discovered that the wear-resistant layer's thickness determines how long a tool will last at different cutting speeds [ 10 ]. In order to create layered structures, two distinct components are alternatively deposited to create multilayer coatings. If the thickness of the individual layers in a multilayer is less than 10 nm, the multilayers become superlattices. Similar crystal structures in multiple layers of coatings often combine to form a columnar structure that runs the length of the coating. We call these coatings super lattice coatings. Super lattice coatings were first achieved through the combination of TiN/VN and TiN/NbN. When compared to single layers of the same materials, this kind of multi-layered coating structure has demonstrated improvements in both toughness and hardness. [ 11 ]. This paper presents the results of the project focused on the investigation of friction factor of monolayer TiN, multilayer TiSiN, and ZrSiN PVD coatings deposited on steel 45 (180 HB) and the tempered steel 45Х (50 HRC). Experimental Procedure Polished hard alloy plates of TNMG 22 04 12 with multilayer wear proof coatings were used. Experiments on the hard alloy tool were carried out on steel 40X on the machine tool 16K20, at cutting speed of 310 m/min and depth of cutting 0.4mm. The feed rate was changed from 0.05 to 0.3 mm/turn. The experiments to study the deterioration mechanism were conducted on a tribometer which is integrated with a computer for processing the data. This set-up allows us to study the tribological characteristics of materials, to investigate the process of contact interaction and also to measure the temperature at the contact zone [12]. Pictures of the cutting edges of these plates have been taken using high resolution (x800) camera. The comparison between the friction coefficient obtained with pin-on-disc tests and that acquired in metal cutting laboratory conditions allows concluding that pin-on-disc tests, when performed with an adequate control of texture and surface roughness, are capable of providing a good estimate of the average value of the friction coefficient in metal cutting applications [13]. Tribological contact is created by pressing the motionless penetrator (finger) against a rotating disk on which the samples are kept to produce a face friction [14]. Applications of samples with the following geometrical sizes are possible in the pin on disc tester: - "Penetrator" - the cylinder Ø3 to Ø6 mm; height of 25 mm - Disk - Ø50 to Ø55mm and thickness 3 to 10 mm. Loading on samples from 0.5N to 50N, the radius of friction measurement from 0 to 20 mm, speed of rotation of the disk 15rpm to 1500 rpm. Registration of values of force of friction is transferred to the computer by means of the built in analogue-digital converter. Influence of speed of relative sliding Vск. m/min, on friction factor μ at constant loading N=5N is studied. Speed of rotation of the disk is 55 rpm. Following are the conditions set for the tests: 1) For obtaining a factor of friction on each mode, the test continues till the reception of its stable value; 2) On each mode, three samples were tested. The principle of action of the measuring device consists in developing a pair of friction, consisting of a motionless penetrator pressed to a rotating disk. Registration of friction force is based on measurement of deformation of a U-shaped elastic beam. An inductive converter is connected to the other end of the beam which holds the motionless penetrator. The bend of the beam under the influence of the friction force is measured using this inductive converter [15]. Coefficient of friction , is ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together. It is usually symbolized by the Greek letter mu (μ). Mathematically, μ = F / N , where F is the frictional force and N is the normal force. Because both F and N are measured in units of force (such as newtons or pounds), the coefficient of friction is dimensionless [16]. Penetrators are made of alloyed steel with coating and without coating, both of them having radius of sphere r =20mm. Disks were made of steel 45 (180 HB) and the tempered steel 45Х (50 HRC). Chosen material for coatings are TiN, TiSiN, and ZrSiN (Table.1). TiSiN, and ZrSiN are deposited at two different modes and compared among themselves, and also TiN coating was done for comparative study. Table 1: Structure, mode of deposition and structural features of the investigated coatings. Coating material Deposition mode of coatings: Voltage V (pressure of nitrogen 2 ,7 Pa) 70V 150V TiSiN columnar structured coating Layer by layer structured coating ZrSiN TiN The mode of coating corresponds to the maximum firmness of the metal-cutting tool Results and Discussion Results of tests have shown, that on a hard alloy surface without coating, crater is formed on the line of the main cutting edge. Formation of crater shows that the given tool material is subjected mechanical fatigue failure. Similar failure pattern was observed by other researchers too [ 17 ]. Presence of blue colour near to the cutting edge speaks about the process of formation of pimples [ 18 ] The size of the crater is 75 microns (fig: 2). Investigation of the surfaces with coatings have shown that the crater size is 25 microns, which reveals that the deterioration mechanism is affected by coating adhesiveness in the cutting zone. All the coatings have the characteristic formation of outgrowth on the tool surface. Intensive formation and outgrowth failure are accompanied by the raised action of variable loadings on the surface of a tool coating. In such conditions monolayer TiN coatings with the structure close to stoichiometry collapse very strongly [ 19 ]. Use of multilayered and multicomponent (the alloyed coatings) is considered as the better perspective. Observation of the tool with TiSiN coating shows the following. In Figs. 4 and 5 , the green colour represents the zone of outgrowth, by which the surface of deterioration is accurately outlined. But the coating is intact. The zone of outgrowth on the multilayer coatings is less than on coatings having columnar structure [ 20 ]. Therefore, multilayer TiSiN coating appear more effective on steel 40Х. Observable formation of an outgrowth explains growth of components of force of cutting. Investigation of the tool with ZrSiN coating (fig:5) shows that the surface of deterioration is much less than on the tool with TiSiN coating. However, traces of fatigue failure of the coating are visible. Change of friction factor with respect to time is accompanied by the established changes of mechanics of process and the chemical phenomena in the friction zone. At the friction zone the oxidizing mechanism of wear process takes place, which reveals the presence of a black strip of oxides on a surface of friction or on its edges [ 21 ]. Formation of various products of deterioration in the friction zone is accompanied by considerable fluctuation of friction factor (µ). Investigation of the uncoated penetrator made of tool steel (steel45) reveals that (Figure.6) the friction surface shows the wide strip containing products of deterioration of dark colour. The friction quickly passes to cutting and grasping penetrators and the disk [ 22 ]. The uncoated penetrators on the tempered steel 40Х goes without grasping. The friction surface is narrow and black in colour. The size µ smoothly grows eventually. Average value of size of friction factor measures 0.35 for steel 45 and 0.25 for steel 40Х. Scratching the surface with TiN coated penetrators, does not improve the friction condition. The size of friction factor grows eventually stronger (Fig. 7 ). This friction surface has the greatest width of all investigated cases. Colour of the path is brown and black along the edges. Through 600 o C from test, µ = 0.65 on steel 45 and µ = 0.5 on steel 40Х. Test of coatings TiSiN and ZrSiN have shown the following. The coatings TiSiN and ZrSiN, deposited at Uосн =70V (that is having cone-shaped grain structure), do not provide a constancy of friction factor during test time. Friction factor is more than the penetrators without coating. The surface of a penetrator with coating ZrSiN (Uосн =70v) on steel45 shows narrow black colour, through 300с from the beginning of measurement and this spreads to the disk material. Coating on tempered steel 40Х shows that the surface has brown colour, grasping occurs through 420 o C (Figure.8) [ 23 ]. a) ZrSiN coating b)TiSiN coating Coatings of TiSiN and ZrSiN, having layer- by- layer structure, have the best indicators on measured sizes (Figure. 9). The least and stable values of friction factor are obtained with ZrSiN coating, deposited at 150V and having layer-by-layer structure. The value of friction factor of penetrators with ZrSiN coating (Uосн =150V) does not vary during the test period and gives µ = 0.22 on steel 45 and µ = 0.2 on tempered steel 40Х. This friction surface has also narrow black colour. Coating TiSiN (Uосн =150V) shows fast growth of friction factor on tempered steel 45. Through 300 o C, after the beginning of tests it is observed grasping with the material of the rotating disk. The friction surface shows a narrow grey colour. TiSiN coating at Uосн =-150V on the tempered steel 40Х shows an absence of growth of; µ value remains constant at µ = 0.25. The friction surface is grey in colour and is having the narrowest width [ 24 ]. Conclusion The carried out researches on the investigation of friction factor, allows to formulate following conclusions. Investigated coatings reduce friction factor. Thus, the experiments show that the best indicators on size, constancy of friction factor with respect to time and minimum width of the friction surface is attained with wear proof multilayer coatings on tempered steel 40Х (fig 4). At the friction zone the oxidizing mechanism of wear process takes place, which reveals the presence of a black strip of oxides on a surface of friction or on its edges. The value of friction factor of penetrators with ZrSiN coating (Uосн =150V) does not vary during the test period and gives μ =0.22 on steel 45 and μ =0.2 on tempered steel 40Х. This friction surface has also narrow black colour. TiSiN coating at Uосн =-150V on the tempered steel 40Х shows an absence of growth of ; μ value remains constant at μ =0.25. The friction surface is grey in colour and is having the narrowest width. Tests of wearproof coatings Zr (Ti)-Si-N, have shown, that the given coatings allow to reduce friction factor of a fast-cutting steel such as tempered steel 40Х. Declarations Availability of data and materials. The data related to this project is confidential and cannot be revealed because of the University policy. Declaration of competing interests The authors hereby declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. Funding This project is fully funded by our University from the Research Fund and no external fund was sort for this project. A uthor’s Contribution Kumaradhas. Paulian: Conceptualization, Methodology, Investigation, Formal analysis and Original writing Vijayanand Manickam: Project administration and Supervision Venkatesan Tharanipathy:Investigation, Validation and Editing the manuscript. Acknowledgement The authors would like to thank Dr. Siva Pragash, Noorul Islam University for his help to carry out the friction test, Dr. Balasundaram, SRM University, for his help to carry out the coating. References Inspektor, Aharon, and Paul A. Salvador. "Architecture of PVD coatings for metalcutting applications: A review." Surface and Coatings Technology 257 (2014): 138-153. Gupta, K. M., Ramdev, K., Dharmateja, S., & Sivarajan, S. (2018). Cutting characteristics of PVD coated cutting tools. Materials Today: Proceedings , 5 (5), 11260-11267.. Gregor, A., Podgursky, V., Adoberg, E. & Kulu.P, Hard coatings manufacturing technology used in tooling, 5 th International DAAAM BalticConference, 20–22 April 2006, Tallinn, Estonia Titus.B.Watmon and Anthony C.Ijeh, “ Coating cutting tools with hard substance lowers friction co-efficient and improves tool life-a review”, Proceedings of the International Multiconference of Engineers and Computer Scientists 2010 Vol III, IMECS 2010, March 17-19,2010,Hong Kong. Panjan, Peter, Aljaž Drnovšek, Pal Terek, Aleksandar Miletić, Miha Čekada, and Matjaž Panjan. "Comparative study of tribological behavior of TiN hard coatings deposited by various pvd deposition techniques." Coatings 12, no. 3 (2022): 294. Stoiber, M.Badisch, E.Lugmair, C and Mitterer, “ Low-friction TiN coatings deposited by PACVD , Journal of Surface and coatings technology”, 163-164 (2003) pp 451. 7. A.Baptista, F.J.G.Silva, J.Porteiro, J.L.Miguez, G.Pinto and L.Fernandes, “ On the Physical Vapour Deposition (PVD): Evolution of Magnetron Sputtering Processes for Industrial Applications” Procedia Manufacturing, Volume17, 2018, Pages 746-757 Shinn, M.Hultman, L.Barnett, SA,” Growth, Structure and Microhardness of Epitaxial TiN/NbN Superlattices ” J.Mater.Res., 7 901-911(1992) Emre Altas, Azmi Erdogan, Fatih Koçyigit, “ A comparative study on the high temperature dry sliding wear behavior of TiN and AlTiN/TiSiN coatings fabricated by PVD technique ” Industrial Lubrication and Tribology © Emerald Publishing Limited [ISSN 0036-8792] ,[DOI 10.1108/ILT-12-2018-0458 Alexey Vereschaka, Sergey Grigoriev, Nikolay Sitnikov, Anatoliy Aksenenko, Filipp Milovich, Nikolay Andreev, Gaik Oganyan and Jury Bublikov, “ Influence of the Thickness of Multilayer Composite Nano-Structured Coating Ti–TiN–(Ti,Al,Si)N on the Tool Life of Metal-Cutting Tools and the Nature of Wear ”, Coatings 2019, 9, 730; doi:10.3390/coatings9110730 PalDey, S. C. D. S., and S. C. Deevi. "Single layer and multilayer wear resistant coatings of (Ti, Al) N: a review." Materials Science and Engineering: A 342, no. 1-2 (2003): 58-79. Mitaľ, G.; Gajdoš, I.; Spišák, E.; Majerníková, J.; Jezný, T. An Analysis of Selected Technological Parameters’ Influences on the Tribological Properties of Products Manufactured Using the FFF Technique. Appl. Sci. 2022 , 12 , 3853. https://doi.org/10.3390/app12083853 Cristino V. A. M., Rosa P. A. R. and Martins P. A. F, “On the Utilization of Pin-on-Disc Simulative Tests for the Calibration of Friction in Metal Cutting ” Proceedings of the Institution of Mechanical Engineers Part J Journal of Engineering Tribology 1994-1996 (vols 208-210) · February 2010 Zhou, X., Masen, M.A., Mo, J. et al. Investigation of Experimental Devices for Finger Active and Passive Tactile Friction Analysis. Chin. J. Mech. Eng. 36 , 38 (2023). https://doi.org/10.1186/s10033-023-00854-0 J. C. Jung and T. Y. Chen, Measurement of friction force between two mica surfaces with multiple beam interferometry, EPJ Web of Conferences 6, 06002 (2010), DOI:10.1051/epjconf/20100606002 Britannica, The Editors of Encyclopaedia. "Coefficient of friction”. Encyclopedia Britannica , 24 June,2020. https://www.britannica/science/coefficient-of-friction. Accessed 26 August 2021. Bakhshandi, Reza Karimi, et al. "Failure analysis of two cylindrical impact pistons subjected to high velocity impacts in drilling applications." Engineering Failure Analysis 140 (2022): 106623. Wagner, Vincent, Maher Baili, and Gilles Dessein. "The relationship between the cutting speed, tool wear, and chip formation during Ti-5553 dry cutting." The International Journal of Advanced Manufacturing Technology 76 (2015): 893-912. Banerjee, Tushar, and A. K. Chattopadhyay. "Influence of substrate bias on structural and tribo-mechanical properties of pulsed magnetron sputtered TiN-WSx hard-lubricious coating." Tribology International 123 (2018): 81-91. Tkadletz, Michael, et al. "Advanced characterization methods for wear resistant hard coatings: a review on recent progress." Surface and Coatings Technology 285 (2016): 31-46. Dong, H. "Tribological properties of titanium-based alloys." Surface engineering of light alloys . Woodhead Publishing, 2010. 58-80. Dubey, Rahul. Ballistic impact response of thermo-mechanically processed Al alloy (6082) . Diss. INDIAN INSTITUTE OF TECHNOLOGY MADRAS CHENNAI, 2023. Juoksukangas, Janne, Jouko Hintikka, Arto Lehtovaara, Antti Mäntylä, Joona Vaara, and Tero Frondelius. "Avoiding the initial adhesive friction peak in fretting." Wear 460 (2020): 203353. Dinh-Cuong, Tran, Nicolas Tardif, and Ali Limam. "Experimental modelling of flatness defects in strip cold rolling." ROLLING 2013 . 2013. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4336269","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":317466654,"identity":"b906f188-c971-47eb-a71f-26f1d6852f65","order_by":0,"name":"Kumaradhas 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х800.\u003c/p\u003e","description":"","filename":"4.png","url":"https://assets-eu.researchsquare.com/files/rs-4336269/v1/4992013317b4341142f14a6d.png"},{"id":60617678,"identity":"8294d406-43a4-43d2-b17c-b566d71c0f01","added_by":"auto","created_at":"2024-07-18 20:31:22","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":187831,"visible":true,"origin":"","legend":"\u003cp\u003ePicture of contact surface of hard-alloy tool with ZrSiN coating (multi-layer coating, х800)\u003c/p\u003e","description":"","filename":"5.png","url":"https://assets-eu.researchsquare.com/files/rs-4336269/v1/bfdefa84b221dcf8bc63ad7f.png"},{"id":60617680,"identity":"117e6f69-c285-4283-a7a5-075eff6719f3","added_by":"auto","created_at":"2024-07-18 20:31:22","extension":"png","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":30941,"visible":true,"origin":"","legend":"\u003cp\u003eUncoated penetrator made of tool steel (steel45)\u003c/p\u003e","description":"","filename":"6.png","url":"https://assets-eu.researchsquare.com/files/rs-4336269/v1/45e084f2ea4eda65d5a330f1.png"},{"id":60618764,"identity":"9efe666e-7e9e-4c7e-be1d-6e8d263b7b86","added_by":"auto","created_at":"2024-07-18 20:39:23","extension":"png","order_by":7,"title":"Figure 7","display":"","copyAsset":false,"role":"figure","size":29335,"visible":true,"origin":"","legend":"\u003cp\u003eChange of friction factor with respect to time, observed on steel CT45 and 40Х at deposition current of 70V\u003c/p\u003e","description":"","filename":"7.png","url":"https://assets-eu.researchsquare.com/files/rs-4336269/v1/51054080880eeeddfeeeba4b.png"},{"id":60617677,"identity":"0a57b341-c22f-4d8b-b120-5be64cbfdad0","added_by":"auto","created_at":"2024-07-18 20:31:22","extension":"png","order_by":8,"title":"Figure 8","display":"","copyAsset":false,"role":"figure","size":73590,"visible":true,"origin":"","legend":"\u003cp\u003eChange of friction factor with respect to time, observed on steel 45 and 40Х at deposition current of 70V.\u003c/p\u003e","description":"","filename":"8.png","url":"https://assets-eu.researchsquare.com/files/rs-4336269/v1/9f52a71f369fcfe108bc3f2a.png"},{"id":60618762,"identity":"4c0a310c-8dc2-4105-9cf8-b58c64d45b79","added_by":"auto","created_at":"2024-07-18 20:39:22","extension":"png","order_by":9,"title":"Figure 9","display":"","copyAsset":false,"role":"figure","size":48044,"visible":true,"origin":"","legend":"\u003cp\u003eChange of friction factor with respect to time, observed on steel 45 and 40Х at deposition current of 150V.\u003c/p\u003e","description":"","filename":"9.png","url":"https://assets-eu.researchsquare.com/files/rs-4336269/v1/2914c9f3bb891cb7bd858c8a.png"},{"id":62864690,"identity":"851bc124-62e2-4815-b483-505d73f97444","added_by":"auto","created_at":"2024-08-20 11:17:28","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1335404,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4336269/v1/f9a3d45a-0585-42f5-a189-628289ce2b29.pdf"}],"financialInterests":"","formattedTitle":"Investigating the Impact of Monolayer and Multilayer PVD Coatings on Cutting Tool Friction Factor","fulltext":[{"header":"Introduction","content":"\u003cp\u003eMachining involves the removal of material to create products, utilizing specialized tools designed for cutting the workpiece material. This subtractive manufacturing process is employed to shape and enhance the surface properties of parts according to specific design requirements [\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e]. The longevity of cutting tools is significantly diminished when machining steel at elevated cutting speeds and feed rates with High-Speed Steel (HSS) tools. The uncoated HSS tools exhibit suboptimal cutting characteristics, resulting in a short tool lifespan and often preventing the attainment of a satisfactory surface finish. To address these issues, the utilization of Physical Vapor Deposition (PVD) coated cutting tools can enhance cutting characteristics and improve both tool life and surface finish [\u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e]. PVD coatings are used in manufacturing to enhance component\u0026rsquo;s mechanical, tribological, and aesthetic qualities beyond what can be achieved with conventional techniques in a way that is safe for the environment [3]. Among the commercially available coatings, PVD TiN is today probably the most commonly used [\u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e4\u003c/span\u003e]. Titanium Nitride (TiN) serves as an uncomplicated and economically viable coating for safeguarding cutting, plastic molding, and cold forming tools against wear. It proves particularly effective for the wear protection of High-Speed Steel (HSS) cutting tools engaged in operations at low to moderate cutting speeds. Common applications involve the drilling, milling, and turning of mild steels at cutting speeds not exceeding 100 m/min. Additionally, the distinctive gold color of the TiN coating makes it an excellent visual indicator for tracking wear [\u003cspan citationid=\"CR5\" class=\"CitationRef\"\u003e5\u003c/span\u003e]. Because of their great hardness, resistance to corrosion and wear, and gold-like appearance, TiN coatings are widely utilized in industrial applications for a variety of purposes, from decorative items to machining equipment [\u003cspan citationid=\"CR6\" class=\"CitationRef\"\u003e6\u003c/span\u003e]. Using the Magnetron Sputtering technique, the Physical Vapour Deposition (PVD) process can create smooth surfaces at lower temperatures with excellent mechanical and tribological properties and excellent adhesion to the primary substrate materials [\u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e7\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eNitrides have been most commonly used as the compositions for hard protective coatings owing to their valuable mechanical and thermal stabilities. Super hardness above 40GPa has been obtained in nano-multilayered coatings of TiN/NbN, TiN/VN, TiN/CrN, TiN/Cx and ZrN/CNx[\u003cspan citationid=\"CR8\" class=\"CitationRef\"\u003e8\u003c/span\u003e]. AlTiN/TiSiN-coated WC materials provide the best wear performance at all loads and temperatures, with TiN-coated and uncoated WC samples coming in second and third, respectively. One noteworthy finding is that samples tested at room temperature did not exhibit wear. The samples' wear resistance noticeably decreases with increasing temperature. Furthermore, it was observed that the uncoated WC sample's wear mechanism changed as the load and temperature increased. Among the wear mechanisms for the WC that were seen at high temperatures were oxidation and delamination. [\u003cspan citationid=\"CR9\" class=\"CitationRef\"\u003e9\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eThe mechanical and performance features of the Ti\u0026ndash;TiN\u0026ndash;(Ti,Al,Si)N multilayer composite coating were examined in relation to the thickness of a nano-structured wear-resistant layer. The coatings with wear-resistant layers that had thicknesses of 2, 3.5, 5, 7, 11, and 15 \u0026micro;m were the main focus of the investigation. The impact of the aforementioned thickness on hardness and wear resistance in scratch testing was taken into consideration, as well as the relationship between the thickness of a wear-resistant layer and the duration of its deposition. Cutting tests were carried out at different cutting speeds (vc\u0026thinsp;=\u0026thinsp;250, 300, and 350 m/min) on turning steel C45 with carbide inserts and the coatings under investigation. The study discovered that the wear-resistant layer's thickness determines how long a tool will last at different cutting speeds [\u003cspan citationid=\"CR10\" class=\"CitationRef\"\u003e10\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eIn order to create layered structures, two distinct components are alternatively deposited to create multilayer coatings. If the thickness of the individual layers in a multilayer is less than 10 nm, the multilayers become superlattices. Similar crystal structures in multiple layers of coatings often combine to form a columnar structure that runs the length of the coating. We call these coatings super lattice coatings. Super lattice coatings were first achieved through the combination of TiN/VN and TiN/NbN. When compared to single layers of the same materials, this kind of multi-layered coating structure has demonstrated improvements in both toughness and hardness. [\u003cspan citationid=\"CR11\" class=\"CitationRef\"\u003e11\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eThis paper presents the results of the project focused on the investigation of friction factor of monolayer TiN, multilayer TiSiN, and ZrSiN PVD coatings deposited on steel 45 (180 HB) and the tempered steel 45Х (50 HRC).\u003c/p\u003e"},{"header":"Experimental Procedure","content":"\u003cp\u003ePolished hard alloy plates of\u0026nbsp;TNMG 22 04 12 with multilayer wear proof coatings were used.\u0026nbsp;Experiments on the hard alloy tool were carried out on steel 40X on the machine tool 16K20, at cutting speed of 310 m/min and depth of cutting 0.4mm. The feed rate was changed from 0.05 to 0.3 mm/turn.\u0026nbsp; \u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe experiments to study the deterioration mechanism were conducted on a tribometer which is integrated with a computer for processing the data. This set-up allows us to study the tribological characteristics of materials, to investigate the process of contact interaction and also to measure the temperature at the contact zone [12]. Pictures of the cutting edges of these plates have been taken using high resolution (x800) camera.\u003c/p\u003e\n\u003cp\u003eThe comparison between the friction coefficient obtained with pin-on-disc tests and that acquired in metal cutting laboratory conditions allows concluding that pin-on-disc tests, when performed with an adequate control of texture and surface roughness, are capable of providing a good estimate of the average value of the friction coefficient in metal cutting applications\u0026nbsp;[13]. Tribological contact is created by pressing the motionless penetrator (finger) against a rotating disk on which the samples are kept to produce a face friction [14]. Applications of samples with the following geometrical sizes are possible in the pin on disc tester:\u003c/p\u003e\n\u003cp\u003e- \u0026quot;Penetrator\u0026quot; - the cylinder \u0026Oslash;3 to \u0026Oslash;6 mm; height of 25 mm\u003c/p\u003e\n\u003cp\u003e- Disk - \u0026Oslash;50 to \u0026Oslash;55mm and thickness 3 to 10 mm.\u003c/p\u003e\n\u003cp\u003eLoading on samples from 0.5N to 50N, the radius of friction measurement from 0 to 20 mm, speed of rotation of the disk 15rpm to 1500 rpm.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eRegistration of values of force of friction is transferred to the computer by means of the built in analogue-digital converter.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp;Influence of speed of relative sliding Vск. m/min, on friction factor\u0026nbsp;\u0026mu;\u0026nbsp;at constant loading N=5N is studied. Speed of rotation of the disk is 55 rpm. Following are the conditions set for the tests:\u003c/p\u003e\n\u003cp\u003e1) For obtaining a factor of friction on each mode, the test continues till the reception of its stable value;\u003c/p\u003e\n\u003cp\u003e2) On each mode, three samples were tested.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp;The principle of action of the measuring device consists in developing a pair of friction, consisting of a motionless penetrator pressed to a rotating disk. Registration of friction force is based on measurement of deformation of a U-shaped elastic beam. An inductive converter is connected to the other end of the beam which holds the motionless penetrator. The bend of the beam under the influence of the friction force is measured using this inductive converter [15].\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eCoefficient of friction\u003c/strong\u003e\u003cstrong\u003e,\u003c/strong\u003e is ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together. It is usually symbolized by the Greek letter mu (\u0026mu;). Mathematically, \u0026mu; = \u003cem\u003eF\u003c/em\u003e/\u003cem\u003eN\u003c/em\u003e, where \u003cem\u003eF\u003c/em\u003e is the frictional force and \u003cem\u003eN\u003c/em\u003e is the normal force. Because both \u003cem\u003eF\u003c/em\u003e and \u003cem\u003eN\u003c/em\u003e are measured in units of force (such as newtons or pounds), the coefficient of friction is dimensionless [16].\u003c/p\u003e\n\u003cp\u003e\u003cimg 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\"\u003e\u003cbr\u003e\u003c/p\u003e\n\u003cp\u003ePenetrators are made of alloyed steel with coating and without coating, both of them having radius of sphere r =20mm. Disks were made of steel 45 (180 HB) and the tempered steel 45Х\u0026nbsp;(50 HRC).\u003c/p\u003e\n\u003cp\u003eChosen material for coatings are TiN, TiSiN, and ZrSiN (Table.1).\u003c/p\u003e\n\u003cp\u003eTiSiN, and ZrSiN are deposited at two different modes and compared among themselves, and also TiN coating was done for comparative study.\u003c/p\u003e\n\u003cp\u003eTable 1: Structure, mode of deposition and structural features of the investigated coatings.\u003c/p\u003e\n\u003ctable border=\"1\" cellspacing=\"0\" cellpadding=\"0\" width=\"397\" style=\"margin-right: calc(47%); width: 53%;\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd width=\"18.387909319899244%\" rowspan=\"2\" style=\"width: 55.0299%;\"\u003e\n \u003cp\u003eCoating material\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"81.61209068010075%\" colspan=\"2\" style=\"width: 44.7182%;\"\u003e\n \u003cp\u003eDeposition mode of coatings: Voltage V \u0026nbsp;(pressure of nitrogen 2 ,7 Pa)\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"38.888888888888886%\" style=\"width: 28.3454%;\"\u003e\n \u003cp\u003e70V\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"61.111111111111114%\"\u003e\n \u003cp\u003e150V\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"18.387909319899244%\" style=\"width: 55.0299%;\"\u003e\n \u003cp\u003eTiSiN\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"31.738035264483628%\" rowspan=\"2\" style=\"width: 28.3454%;\"\u003e\n \u003cp\u003ecolumnar structured coating\u003c/p\u003e\n \u003cp\u003e\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"49.87405541561713%\" rowspan=\"2\"\u003e\n \u003cp\u003eLayer by layer structured coating\u0026nbsp;\u003c/p\u003e\n \u003cp\u003e\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"100%\" style=\"width: 55.0299%;\"\u003e\n \u003cp\u003eZrSiN\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"18.387909319899244%\" style=\"width: 55.0299%;\"\u003e\n \u003cp\u003eTiN\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"81.61209068010075%\" colspan=\"2\" style=\"width: 44.7182%;\"\u003e\n \u003cp\u003eThe mode of coating corresponds to the maximum firmness of the metal-cutting tool\u003c/p\u003e\n \u003cp\u003e\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e"},{"header":"Results and Discussion","content":"\u003cp\u003eResults of tests have shown, that on a hard alloy surface without coating, crater is formed on the line of the main cutting edge. Formation of crater shows that the given tool material is subjected mechanical fatigue failure. Similar failure pattern was observed by other researchers too [\u003cspan class=\"CitationRef\"\u003e17\u003c/span\u003e]. Presence of blue colour near to the cutting edge speaks about the process of formation of pimples [\u003cspan class=\"CitationRef\"\u003e18\u003c/span\u003e] The size of the crater is 75 microns (fig: 2). Investigation of the surfaces with coatings have shown that the crater size is 25 microns, which reveals that the deterioration mechanism is affected by coating adhesiveness in the cutting zone. All the coatings have the characteristic formation of outgrowth on the tool surface.\u003c/p\u003e\n\u003cp\u003eIntensive formation and outgrowth failure are accompanied by the raised action of variable loadings on the surface of a tool coating. In such conditions monolayer TiN coatings with the structure close to stoichiometry collapse very strongly [\u003cspan class=\"CitationRef\"\u003e19\u003c/span\u003e]. Use of multilayered and multicomponent (the alloyed coatings) is considered as the better perspective.\u003c/p\u003e\n\u003cp\u003eObservation of the tool with TiSiN coating shows the following. In Figs. \u003cspan class=\"InternalRef\"\u003e4\u003c/span\u003e and \u003cspan class=\"InternalRef\"\u003e5\u003c/span\u003e, the green colour represents the zone of outgrowth, by which the surface of deterioration is accurately outlined. But the coating is intact. The zone of outgrowth on the multilayer coatings is less than on coatings having columnar structure [\u003cspan class=\"CitationRef\"\u003e20\u003c/span\u003e]. Therefore, multilayer TiSiN coating appear more effective on steel 40Х. Observable formation of an outgrowth explains growth of components of force of cutting.\u003c/p\u003e\n\u003cp\u003eInvestigation of the tool with ZrSiN coating (fig:5) shows that the surface of deterioration is much less than on the tool with TiSiN coating. However, traces of fatigue failure of the coating are visible.\u003c/p\u003e\n\u003cp\u003eChange of friction factor with respect to time is accompanied by the established changes of mechanics of process and the chemical phenomena in the friction zone. At the friction zone the oxidizing mechanism of wear process takes place, which reveals the presence of a black strip of oxides on a surface of friction or on its edges [\u003cspan class=\"CitationRef\"\u003e21\u003c/span\u003e]. Formation of various products of deterioration in the friction zone is accompanied by considerable fluctuation of friction factor (\u0026micro;).\u003c/p\u003e\n\u003cp\u003eInvestigation of the uncoated penetrator made of tool steel (steel45) reveals that (Figure.6) the friction surface shows the wide strip containing products of deterioration of dark colour. The friction quickly passes to cutting and grasping penetrators and the disk [\u003cspan class=\"CitationRef\"\u003e22\u003c/span\u003e]. The uncoated penetrators on the tempered steel 40Х goes without grasping. The friction surface is narrow and black in colour. The size \u0026micro; smoothly grows eventually. Average value of size of friction factor measures 0.35 for steel 45 and 0.25 for steel 40Х.\u003c/p\u003e\n\u003cp\u003eScratching the surface with TiN coated penetrators, does not improve the friction condition. The size of friction factor grows eventually stronger (Fig. \u003cspan class=\"InternalRef\"\u003e7\u003c/span\u003e). This friction surface has the greatest width of all investigated cases. Colour of the path is brown and black along the edges. Through 600\u003csup\u003eo\u003c/sup\u003eC from test, \u0026micro;\u0026thinsp;=\u0026thinsp;0.65 on steel 45 and \u0026micro;\u0026thinsp;=\u0026thinsp;0.5 on steel 40Х.\u003c/p\u003e\n\u003cp\u003eTest of coatings TiSiN and ZrSiN have shown the following. The coatings TiSiN and ZrSiN, deposited at Uосн =70V (that is having cone-shaped grain structure), do not provide a constancy of friction factor during test time. Friction factor is more than the penetrators without coating. The surface of a penetrator with coating ZrSiN (Uосн =70v) on steel45 shows narrow black colour, through 300с from the beginning of measurement and this spreads to the disk material. Coating on tempered steel 40Х shows that the surface has brown colour, grasping occurs through 420\u003csup\u003eo\u003c/sup\u003eC (Figure.8) [\u003cspan class=\"CitationRef\"\u003e23\u003c/span\u003e].\u003c/p\u003e\n\u003cp\u003ea) ZrSiN coating b)TiSiN coating\u003c/p\u003e\n\u003cp\u003eCoatings of TiSiN and ZrSiN, having layer- by- layer structure, have the best indicators on measured sizes (Figure. 9). The least and stable values of friction factor are obtained with ZrSiN coating, deposited at 150V and having layer-by-layer structure. The value of friction factor of penetrators with ZrSiN coating (Uосн =150V) does not vary during the test period and gives \u0026micro;\u0026thinsp;=\u0026thinsp;0.22 on steel 45 and \u0026micro;\u0026thinsp;=\u0026thinsp;0.2 on tempered steel 40Х. This friction surface has also narrow black colour. Coating TiSiN (Uосн =150V) shows fast growth of friction factor on tempered steel 45. Through 300\u003csup\u003eo\u003c/sup\u003eC, after the beginning of tests it is observed grasping with the material of the rotating disk. The friction surface shows a narrow grey colour. TiSiN coating at Uосн =-150V on the tempered steel 40Х shows an absence of growth of; \u0026micro; value remains constant at \u0026micro;\u0026thinsp;=\u0026thinsp;0.25. The friction surface is grey in colour and is having the narrowest width [\u003cspan class=\"CitationRef\"\u003e24\u003c/span\u003e].\u003c/p\u003e"},{"header":"Conclusion","content":"\u003cp\u003eThe carried out researches\u0026nbsp;on the investigation of\u0026nbsp;friction\u0026nbsp;factor,\u0026nbsp;allows\u0026nbsp;to formulate following conclusions.\u003c/p\u003e\n\u003cul\u003e\n \u003cli\u003eInvestigated\u0026nbsp;coatings reduce friction factor.\u0026nbsp;Thus, the experiments show that the best indicators on size, constancy of friction factor with respect to time and minimum width of the friction surface is attained with wear proof multilayer coatings on tempered steel 40Х\u0026nbsp;(fig 4).\u003c/li\u003e\n \u003cli\u003eAt the friction zone the oxidizing mechanism of wear process takes place, which reveals the presence of a black strip of oxides on a surface of friction or on its edges.\u003c/li\u003e\n \u003cli\u003eThe value of friction factor of penetrators\u0026nbsp;with ZrSiN coating (Uосн\u0026nbsp;=150V) does not vary during the test period and gives\u0026nbsp;μ\u0026nbsp;=0.22 on steel 45 and\u0026nbsp;μ\u0026nbsp;=0.2 on tempered steel 40Х. This friction surface has also narrow black colour.\u0026nbsp;\u003c/li\u003e\n \u003cli\u003eTiSiN coating at Uосн\u0026nbsp;=-150V on the tempered steel 40Х\u0026nbsp;shows an absence of growth of ;\u0026nbsp;μ\u0026nbsp;value remains constant at\u0026nbsp;μ\u0026nbsp;=0.25. The friction surface is grey in colour and is having the narrowest width.\u003c/li\u003e\n \u003cli\u003eTests of wearproof coatings Zr (Ti)-Si-N, have shown, that the given coatings allow to reduce friction factor of a fast-cutting steel such as tempered steel 40Х.\u0026nbsp;\u003c/li\u003e\n\u003c/ul\u003e"},{"header":"Declarations","content":"\u003cp\u003e\u003cstrong\u003eAvailability of data and materials.\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe data related to this project is confidential and cannot be revealed because of the University policy.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eDeclaration of competing interests\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe authors hereby declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eFunding\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThis project is fully funded by our University from the Research Fund and no external fund was sort for this project.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eA\u003c/strong\u003e\u003cstrong\u003euthor’s Contribution\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eKumaradhas. Paulian:\u0026nbsp;Conceptualization, Methodology, Investigation, Formal analysis and\u0026nbsp;Original writing\u003c/p\u003e\n\u003cp\u003eVijayanand Manickam:\u0026nbsp;Project administration and Supervision\u003c/p\u003e\n\u003cp\u003eVenkatesan Tharanipathy:Investigation, Validation and Editing the manuscript.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eAcknowledgement\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe authors would like to thank Dr. Siva Pragash, Noorul Islam University for his help to carry out the friction test, Dr. Balasundaram, SRM University, for his help to carry out the coating.\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\n \u003cli\u003eInspektor, Aharon, and Paul A. Salvador. \u0026quot;Architecture of PVD coatings for metalcutting applications: A review.\u0026quot; \u003cem\u003eSurface and Coatings Technology\u003c/em\u003e 257 (2014): 138-153.\u003c/li\u003e\n \u003cli\u003eGupta, K. M., Ramdev, K., Dharmateja, S., \u0026amp; Sivarajan, S. (2018). Cutting characteristics of PVD coated cutting tools. \u003cem\u003eMaterials Today: Proceedings\u003c/em\u003e, \u003cem\u003e5\u003c/em\u003e(5), 11260-11267..\u003c/li\u003e\n \u003cli\u003eGregor, A., Podgursky, V., Adoberg, E. \u0026amp; Kulu.P, \u003cem\u003eHard coatings\u003c/em\u003e\u003cem\u003emanufacturing technology used in tooling,\u003c/em\u003e5\u003csup\u003eth\u003c/sup\u003e International DAAAM BalticConference, 20\u0026ndash;22 April 2006, Tallinn, Estonia\u003c/li\u003e\n \u003cli\u003eTitus.B.Watmon and Anthony C.Ijeh, \u0026ldquo;\u003cem\u003eCoating cutting tools with hard substance lowers friction co-efficient and improves tool life-a review\u0026rdquo;,\u0026nbsp;\u003c/em\u003eProceedings of the International Multiconference of Engineers and Computer Scientists 2010 Vol III, IMECS 2010, March 17-19,2010,Hong Kong.\u003c/li\u003e\n \u003cli\u003ePanjan, Peter, Aljaž Drnov\u0026scaron;ek, Pal Terek, Aleksandar Miletić, Miha Čekada, and Matjaž Panjan. \u0026quot;Comparative study of tribological behavior of TiN hard coatings deposited by various pvd deposition techniques.\u0026quot; \u003cem\u003eCoatings\u003c/em\u003e 12, no. 3 (2022): 294.\u003c/li\u003e\n \u003cli\u003eStoiber, M.Badisch, E.Lugmair, C and Mitterer, \u0026ldquo;\u003cem\u003eLow-friction TiN\u003c/em\u003e\u003cem\u003ecoatings deposited by PACVD\u003c/em\u003e, Journal of Surface and coatings technology\u0026rdquo;, 163-164 (2003) pp 451.\u003c/li\u003e\n \u003cli\u003e7. A.Baptista, F.J.G.Silva, J.Porteiro, J.L.Miguez, G.Pinto and L.Fernandes, \u003cem\u003e\u0026ldquo;\u0026nbsp;\u003c/em\u003e\u003cem\u003eOn the Physical Vapour Deposition (PVD): Evolution of Magnetron Sputtering Processes for Industrial Applications\u0026rdquo;\u003c/em\u003e Procedia Manufacturing, Volume17, 2018, Pages 746-757\u003c/li\u003e\n \u003cli\u003eShinn, M.Hultman, L.Barnett, SA,\u0026rdquo;\u003cem\u003eGrowth, Structure and Microhardness\u003c/em\u003e\u003cem\u003eof Epitaxial TiN/NbN Superlattices\u003c/em\u003e\u0026rdquo; J.Mater.Res., 7 901-911(1992)\u003c/li\u003e\n \u003cli\u003eEmre Altas, Azmi Erdogan, Fatih Ko\u0026ccedil;yigit, \u0026ldquo;\u003cem\u003eA comparative study on the high temperature dry sliding wear behavior of TiN and AlTiN/TiSiN coatings fabricated by PVD technique\u003c/em\u003e\u003cem\u003e\u0026rdquo;\u003c/em\u003e Industrial Lubrication and Tribology \u0026copy; Emerald Publishing Limited [ISSN 0036-8792] ,[DOI 10.1108/ILT-12-2018-0458\u003c/li\u003e\n \u003cli\u003eAlexey Vereschaka, Sergey Grigoriev, Nikolay Sitnikov, Anatoliy Aksenenko, Filipp Milovich, Nikolay Andreev, Gaik Oganyan and Jury Bublikov, \u0026ldquo;\u003cem\u003eInfluence of the Thickness of Multilayer Composite Nano-Structured Coating Ti\u0026ndash;TiN\u0026ndash;(Ti,Al,Si)N on the Tool Life of Metal-Cutting Tools and the Nature of Wear\u003c/em\u003e\u003cem\u003e\u0026rdquo;,\u0026nbsp;\u003c/em\u003eCoatings 2019, 9, 730; doi:10.3390/coatings9110730\u003c/li\u003e\n \u003cli\u003ePalDey, S. C. D. S., and S. C. Deevi. \u0026quot;Single layer and multilayer wear resistant coatings of (Ti, Al) N: a review.\u0026quot; \u003cem\u003eMaterials Science and Engineering: A\u003c/em\u003e 342, no. 1-2 (2003): 58-79.\u003c/li\u003e\n \u003cli\u003eMitaľ, G.; Gajdo\u0026scaron;, I.; Spi\u0026scaron;\u0026aacute;k, E.; Majern\u0026iacute;kov\u0026aacute;, J.; Jezn\u0026yacute;, T. An Analysis of Selected Technological Parameters\u0026rsquo; Influences on the Tribological Properties of Products Manufactured Using the FFF Technique. \u003cem\u003eAppl. Sci.\u003c/em\u003e\u003cstrong\u003e2022\u003c/strong\u003e, \u003cem\u003e12\u003c/em\u003e, 3853. https://doi.org/10.3390/app12083853\u003c/li\u003e\n \u003cli\u003eCristino V. A. M., Rosa P. A. R. and Martins P. A. F, \u003cem\u003e\u0026ldquo;On the Utilization of Pin-on-Disc Simulative Tests for the Calibration of Friction in Metal Cutting\u003c/em\u003e\u003cem\u003e\u0026rdquo;\u003c/em\u003e Proceedings of the Institution of Mechanical Engineers Part J Journal of Engineering Tribology 1994-1996 (vols 208-210) \u0026middot; February 2010\u003c/li\u003e\n \u003cli\u003eZhou, X., Masen, M.A., Mo, J. \u003cem\u003eet al.\u003c/em\u003e Investigation of Experimental Devices for Finger Active and Passive Tactile Friction Analysis. \u003cem\u003eChin. J. Mech. Eng.\u003c/em\u003e\u003cstrong\u003e36\u003c/strong\u003e, 38 (2023). https://doi.org/10.1186/s10033-023-00854-0\u003c/li\u003e\n \u003cli\u003eJ. C. Jung and T. Y. Chen, Measurement of friction force between two mica surfaces with multiple beam interferometry, EPJ Web of Conferences 6, 06002 (2010), DOI:10.1051/epjconf/20100606002\u003c/li\u003e\n \u003cli\u003eBritannica, The Editors of Encyclopaedia. \u0026quot;Coefficient of friction\u0026rdquo;. \u003cem\u003eEncyclopedia Britannica\u003c/em\u003e, 24 June,2020. https://www.britannica/science/coefficient-of-friction. Accessed 26 August 2021.\u003c/li\u003e\n \u003cli\u003eBakhshandi, Reza Karimi, et al. \u0026quot;Failure analysis of two cylindrical impact pistons subjected to high velocity impacts in drilling applications.\u0026quot; \u003cem\u003eEngineering Failure Analysis\u003c/em\u003e 140 (2022): 106623.\u003c/li\u003e\n \u003cli\u003eWagner, Vincent, Maher Baili, and Gilles Dessein. \u0026quot;The relationship between the cutting speed, tool wear, and chip formation during Ti-5553 dry cutting.\u0026quot; \u003cem\u003eThe International Journal of Advanced Manufacturing Technology\u003c/em\u003e 76 (2015): 893-912.\u003c/li\u003e\n \u003cli\u003eBanerjee, Tushar, and A. K. Chattopadhyay. \u0026quot;Influence of substrate bias on structural and tribo-mechanical properties of pulsed magnetron sputtered TiN-WSx hard-lubricious coating.\u0026quot; \u003cem\u003eTribology International\u003c/em\u003e 123 (2018): 81-91.\u003c/li\u003e\n \u003cli\u003eTkadletz, Michael, et al. \u0026quot;Advanced characterization methods for wear resistant hard coatings: a review on recent progress.\u0026quot; \u003cem\u003eSurface and Coatings Technology\u003c/em\u003e 285 (2016): 31-46.\u003c/li\u003e\n \u003cli\u003eDong, H. \u0026quot;Tribological properties of titanium-based alloys.\u0026quot; \u003cem\u003eSurface engineering of light alloys\u003c/em\u003e. Woodhead Publishing, 2010. 58-80.\u003c/li\u003e\n \u003cli\u003eDubey, Rahul. \u003cem\u003eBallistic impact response of thermo-mechanically processed Al alloy (6082)\u003c/em\u003e. Diss. INDIAN INSTITUTE OF TECHNOLOGY MADRAS CHENNAI, 2023.\u003c/li\u003e\n \u003cli\u003eJuoksukangas, Janne, Jouko Hintikka, Arto Lehtovaara, Antti M\u0026auml;ntyl\u0026auml;, Joona Vaara, and Tero Frondelius. \u0026quot;Avoiding the initial adhesive friction peak in fretting.\u0026quot; \u003cem\u003eWear\u003c/em\u003e 460 (2020): 203353.\u003c/li\u003e\n \u003cli\u003eDinh-Cuong, Tran, Nicolas Tardif, and Ali Limam. \u0026quot;Experimental modelling of flatness defects in strip cold rolling.\u0026quot; \u003cem\u003eROLLING 2013\u003c/em\u003e. 2013.\u003c/li\u003e\n\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Monolayer and multilayer coatings, Friction factor, Wear mechanism. ","lastPublishedDoi":"10.21203/rs.3.rs-4336269/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4336269/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe purpose of the paper is to examine the ZrSiN, monolayer TiN, and multilayer TiSiN PVD coatings' friction factors on tempered steel 45X (50 HRC) and steel 45 (180 HB). The tribological characteristics were studied using tribometer. The registered values of friction factor were transferred to the computer using an analog to digital converter. TiN coatings on both steel 45 (180 HB) and the tempered steel 45Х (50 HRC) shows an increase in friction factor. Friction factor of TiSiN coating at 70V and 150 V also increases with time. In case of ZrSiN, the friction factor remains constant for both the tool materials for deposition current of 150V.The results of the investigations provide useful information for applying ZrSiN PVD coating for the improvement of tool life of cutting tools. The paper contributes to better understanding of the friction properties of monolayer TiN, multilayer TiSiN, and ZrSiN PVD coatings deposited on steel 45 (180 HB) and the tempered steel 45Х (50 HRC).\u003c/p\u003e","manuscriptTitle":"Investigating the Impact of Monolayer and Multilayer PVD Coatings on Cutting Tool Friction Factor","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-07-18 20:31:17","doi":"10.21203/rs.3.rs-4336269/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"cdcaec35-14b4-4b67-9900-691ee581a197","owner":[],"postedDate":"July 18th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-08-20T11:09:21+00:00","versionOfRecord":[],"versionCreatedAt":"2024-07-18 20:31:17","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-4336269","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4336269","identity":"rs-4336269","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}