[1] V. Stupnytskyy and I. Hrytsay. Computer-aided conception for planning and researching of the functional-oriented manufacturing process. In: Tonkonogyi V. et al. (eds), Advanced Manufacturing Processes, part of the Lecture Notes in Mechanical Engineering, pages 309–320, Springer, Cham, 2020. doi: 10.1007/978-3-030-40724-7_32.
[2] J.P. Davim. Surface Integrity in Machining. Springer, London, 2010. doi: 10.1007/978-1-84882-874-2.
[3] W.E. Eder. Theory of technical systems – educational tool for engineering. Universal Journal of Educational Research, 4(6):1395–1405, 2016. doi: 10.13189/ujer.2016.040617.
[4] R.M. Rangan, S.M. Rohde, R. Peak, B. Chadha, and P. Bliznakov. Streamlining product lifecycle processes: a survey of product lifecycle management implementations, directions, and challenges. Journal of Computing and Information Science in Engineering, 5(3):227–237, 2005. doi: 10.1115/1.2031270.
[5] F. Demoly, O. Dutartre, X.-T. Yan, B. Eynard, D. Kiritsis, and S. Gomes. Product relationships management enabler for concurrent engineering and product lifecycle management. Computers in Industry, 64(7):833–848, 2013. doi: 10.1016/j.compind.2013.05.004.
[6] V. Stupnytskyy. Computer aided machine-building technological process planning by the methods of concurrent engineering. Europaische Fachhochschule: Wissenschaftliche Zeitschrift, ORT Publishing, 2:50–53, 2013.
[7] A.I. Dmitriev, A.Yu. Smolin, V.L. Popov, and S.G. Psakhie. A multilevel computer simulation of friction and wear by numerical methods of discrete mechanics and a phenomenological theory. Physical Mesomechanics, 12(1-2):11–19, 2009. doi: 10.1016/j.physme.2009.03.002.
[8] T.R. Thomas. Rough Surfaces, 2nd edition. Imperial College Press, London, 1998. doi: 10.1142/p086.
[9] G. Straffelini. Friction and Wear: Methodologies for Design and Control. Springer, Cham, 2015. doi: 0.1007/978-3-319-05894-8.
[10] H. Aramaki, H.S. Cheng, and Y. Chung. The contact between rough surfaces with longitudinal texture – part I: average contact pressure and real contact area. Journal of Tribology, 115(3):419–424, 1993. doi: 10.1115/1.2921653.
[11] Yu A. Karpenko and A. Akay. A numerical model of friction between rough surfaces. Tribology International. 34:531–545, 2001. doi: 10.1016/S0301-679X(01)00044-5.
[12] N.B. Dyomkin. Calculation and experimental study of rough contact surfaces. In Proceedings of Science Conference ``Contact Problems and Their Engineering Applications'', pages 264–271, Moscow, 1969.
[13] J. Luo, Y. Meng, T. Shao and Q. Zhao, (eds). Advanced Tribology: Proceedings of CIST2008 & ITS-IFToMM-2008. Beijing, China, 2008; Spriner, 2010. doi: 10.1007/978-3-642-03653-8.
[14] H. Hirani. Fundamentals of Engineering Tribology with Applications. Cambridge University Press, 2016.
[15] B. Bhushan. Introduction to Tribology. John Wiley & Sons, 2013.
[16] K.C. Ludema. Friction, Wear, Lubrication. A Textbook in Tribology. CRC Press, 1996.
[17] B.N.J. Persson. Sliding Friction: Physical Principles and Applications. Springer Science & Business Media, 2013.
[18] N.B. Dyomkin. Contacting of Rough Surfces. Moskow: Nauka, 1970. (in Russian).
[19] J.A. Greenwood and G. Williamson. Contact of nominally flat surfaces. In Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 295(1442):300–319, 1966. doi: 10.1098/rspa.1966.0242.
[20] S. Andersson and U. Olofsson. Simulation of plastic deformation and wear of a rough surface rubbing against a smooth wear resistant surface. In Proceedings of the 10th International Conference on Tribology, Bukharest, Romania, 2007.
[21] A. Ishlinsky and F. Chernousko. Advances in Theoretical and Applied Mechanics. Moskow: Mir, 1981.
[22] K. Hill. The Matematical Theory of Plasticity. Clarendon Press, Oxford, 1998.
[23] L.I. Sedov (ed.). Foundations of the Non-Linear Mechanics of Continua, volume 1 of International Series of Monographs in Interdisciplinary and Advanced Topics in Science and Engineering, 1966. doi: 10.1016/C2013-0-07842-5.
[24] A. Chmiel. Finite element simulation methods for dry sliding wear. M.Sc. Thesis, Air Force Institute of Technology. Wright-Patterson Air Force Base, Ochio, USA, 2008.
[25] M.W. Fu, M.S. Yong, and T. Muramatsu. Die fatigue life design and assessment via CAE simulation. The International Journal of Advanced Manufacturing Technology, 35(9–10): 843–851, 2008. doi: 10.1007/s00170-006-0762-5.
[26] I.V. Kragelsky, M.N. Dobychin, and V.S. Kombalov. Friction and Wear: Calculation Methods. Pergamon Press, Oxford, 1982.
[27] D.R. Askeland. The Science and Engineering of Materials. 3rd edition.: Springer Science & Business Media, Oxford, 1996. doi: doi.org/10.1016/s0167-8922(06)x8001-x">10.1016/s0167-8922(06)x8001-x.
[29] V. Stupnytskyy. A generalized example of structural and parametric optimization of functionally-oriented process. Bulletin of the National Technical University ``KhPI''. Series: Techniques in a machine industry. 42(1085):116–130, 2014.
[30] Z. Nazarchuk, V. Skalskyi, O. Serhiyenko. Acoustic Emission. Methodology and Application. Springer, Cham, 2017. doi: 10.1007/978-3-319-49350-3.
[31] V. Stupnytskyy and I. Hrytsay I. Simulation study of cutting-induced residual stress. In: Ivanov V. et al. (eds), Advances in Design, Simulation and Manufacturing II. DSMIE 2019, part of Lecture Notes in Mechanical Engineering, pages 341–350, 2020. doi: 10.1007/978-3-030-22365-6_34.
[32] Y. Kudryavtsev and J. Kleiman. Ultrasonic technique and device for residual stress measurement. In T. Proulx (ed.), Engineering Applications of Residual Stress, volume 8 of Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, 2011. doi: 10.1007/978-1-4614-0225-1_8.

[1] V. Dimitriou and A. Antoniadis. CAD-based simulation of the hobbing process for the manufacturing of spur and helical gears. The International Journal of Advanced Manufacturing Technology, 41(3-4):347–357, 2009. doi: 10.1007/s00170-008-1465-x.
[2] V. Dimitriou, N. Vidakis, and A. Antoniadis. Advanced computer aided design simulation of gear hobbing by means of three-dimensional kinematics modeling. Journal of Manufacturing Science and Engineering, 129(5):911–918, 2007. doi: 10.1115/1.2738947.
[3] K.-D. Bouzakis, S.Kombogiannis, A. Antoniadis, andN.Vidakis. Gear hobbing cutting process simulation and toolwear prediction models. Journal of Manufacturing Science and Engineering, 124(1):42–51, 2001. doi: 10.1115/1.1430236.
[4] J. Edgar. Hobs and Gear Hobbing: A Treatise on the Design of Hobs and Investigation into the Conditions Met with Gear Hobbing. Forgotten Books, 2015.
[5] N. Sabkhi, C. Pelaingre, C. Barlier, A. Moufki, and M. Nouari. Characterization of the cutting forces generated during the gear hobbing process: Spur gear. Procedia CIRP, 31:411–416, 2015. doi: 10.1016/j.procir.2015.03.041.
[6] W. Liu, D. Ren, S.Usui, J.Wadell, and T.D.Marusich. A gear cutting predictive model using the finite element method. Procedia CIRP, 8:51–56, 2013. doi: 10.1016/j.procir.2013.06.064.
[7] N. Tapoglou, T. Belis, Taxiarchis, D. Vakondios, and A. Antoniadis. CAD-based simulation of gear hobbing. In Proceeding of 31st International Symposium on Mechanics and Materials, volume 1, pages 41–57, Agia Marina, Greece. 9-14 May, 2010.
[8] C. Brecher, M. Brumm, and M. Krömer. Design of gear hobbing processes using simulations and empirical data. Procedia CIRP, 33:484-489, 2015. doi: 10.1016/j.procir.2015.06.059.
[9] G. Sulzer. Increased performance in gears production by accurate detection of machining kinematics. Ph.D. Thesis, RWTH Aachen University, Aachen, Germany, 1974 (in German).
[10] P. Gutman. Machining force calculation during hobbing. Ph.D. Thesis, RWTH Aachen University, Aachen, Germany, 1988 (in German).
[11] X. Dong, C. Liao, Y.C. Shin, and H.H. Zhang. Machinability improvement of gear hobbing via process simulation and tool wear predictions. The International Journal of Advanced Manufacturing Technology, 86(9-12):2771–2779, 2016. doi: 10.1007/s00170-016-8400-3.
[12] V. Sinkevicius. Simulation of gear hobbing forces. Kaunas University of Technology Journal: Mechanika, 2(28):58–63, 2001.
[13] I. Hrytsay. Simulation of cross-sections, forces and torques during gear machining by hobs. Mashynoznavstvo, 7:19–23, 1998 (In Ukrainian).
[14] I. Hrytsay andV. Sytnik. Force field of screw-type toothing cutter and its quantitative evaluation. Optimization and Technical Control in Engineering and Instrumentation, 371:3–13, 1999 (In Ukrainian).
[15] V. Stupnytskyy. Features of functionally-oriented engineering technologies in concurrent environment. International Journal of Engineering Research and Technology, 2(9):1181–1186, 2013.
[16] V. Stupnytskyy. Thermodynamic pattern of the workpiece machining by the rheological imitation modelling in deform-3D system. O ptimization and Technical Control in Engineering and Instrumentation, 772:102–114, 2013.
[17] V. Stupnytskyy. Computer aided machine-building technological process planning by the methods of concurrent engineering. Europaische Fachhochschule: Wissenschaftliche Zeitschrift, ORT Publishing, 2:50–53, 2013.
[18] N. Sabkhi, A. Moufki, M. Nouari, C. Pelaingre, and C. Barlier. Prediction of the hobbing cutting forces from a thermomechanical modeling of orthogonal cutting operation. J ournal of Manufacturing Processes, 23:1–12, 2016. doi: 10.1016/j.jmapro.2016.05.002.
[19] F. Klocke. Manufacturing Processes 1: Cutting. Springer, 2011.

1. K.-D. Bouzakis, S. Kombogiannis, A. Antoniadis, and N. Vidakis. Gear hobbing cutting process simulation, and tool wear prediction models. Journal of Manufacturing Science and Engineering, 124(1):42–51, 2002. doi: 10.1115/1.1430236.
2. V. Dimitriou, N. Vidakis, and A Antoniadis. Advanced computer aided design simulation of gear hobbing by means of three-dimensional kinematics modeling. Journal of Manufacturing Science and Engineering, 129(5):911–918, 2007. doi: 10.1115/1.2738947.
3. S.P. Radzevich, and M. Storchak. Advances in Gear Theory and Gear Cutting Tool Design. Springer, Cham, Switzerland, 2022.
4. I. Hrytsay, V. Stupnytskyy, and V. Topchii. Improved method of gear hobbing computer aided simulation. Archive of Mechanical Engineering, 66(4):475–494, 2019. doi: 10.24425/ame.2019.131358.
5. S. Stein, M. Lechthaler, S. Krassnitzer, K. Albrecht, A. Schindler, and M. Arndt. Gear hobbing: a contribution to analogy testing, and its wear mechanisms. Procedia CIRP, 1:220–225, 2012. doi: 10.1016/j.procir.2012.04.039.
6. X. Yang and P. Chen. Heat transfer enhancement strategies for eco-friendly dry hobbing considering the heat exchange capacity of chips. Case Studies in Thermal Engineering, 29, 101716, 2022. doi: 10.1016/j.csite.2021.101716.
7. H. Cao, L. Zhu, X. Li, P. Chen, and Y. Chen. Thermal error compensation of dry hobbing machine tool considering workpiece thermal deformation. International Journal of Advanced Manufacturing Technology, 86:1739–1751, 2016. doi: 10.1007/s00170-015-8314-5.
8. T. Tezel, E.S. Topal, and V. Kovan. Characterising the wear behaviour of DMLS-manufactured gears under certain operating conditions. Wear, 440–441:203106, 2019. doi: 10.1016/j.wear.2019.203106.
9. S. Stark, M. Beutner, F. Lorenz, S. Uhlmann, B. Karpuschewski, and T. Halle. Heat flux, and temperature distribution in gear hobbing operations. Procedia CIRP, 8:456–461, 2013. doi: 10.1016/j.procir.2013.06.133.
10. N. Tapoglou, T. Belis, D. Vakondios, and A. Antoniadis. CAD-based simulation of gear hobbing. 31 International Symposium on Mechanics, and Materials, May 9–14, Greece, 2010.
11. K.D. Bouzakis, K. Chatzis, S. Kombogiannis, and O. Friderikos. Effect of chip geometry, and cutting kinematics on the wear of coated PM HSS tools in milling. Proceedings of the 7th International Conference Coatings in Manufacturing Engineering, pages 197–208, 1–3 October, Chalkidiki, Greece. 2008.
12. K.-D. Bouzakis, E. Lili, N. Michailidis, and O. Friderikos. Manufacturing of cylindrical gears by generating cutting processes: A critical synthesis of analysis methods. CIRP Annals, 57(2):676–696, 2008. doi: 10.1016/j.cirp.2008.09.001.
13. B. Karpuschewski, H.J. Knoche, M. Hipke, and M. Beutner. High performance gear hobbing with powder-metallurgical high-speed-steel. Procedia CIRP, 1:196–201, 2012. doi: 10.1016/j.procir.2012.04.034.
14. B. Karpuschewski, M. Beutner, M. Köchig, and C. Härtling. Influence of the tool profile on the wear behaviour in gear hobbing. CIRP Journal of Manufacturing Science and Technology, 18:128–134, 2018. doi: 10.1016/j.cirpj.2016.11.002.
15. F. Klocke, C. Gorgels, R. Schalaster, and A. Stuckenberg. An innovative way of designing gear hobbing processes. Gear Technology, 1:48–53, 2012.
16. C. Claudin, and J. Rech. Effects of the edge preparation on the tool life in gear hobbing. In Proceedings of the 3rd International Conference on Manufacturing Engineering (ICMEN), pages 57–70, Chalkidiki, Greece, 1–3 October 2008.
17. J. Rech. Influence of cutting edge preparation on the wear resistance in high speed dry gear hobbing. Wear, 261(5-6):505–512, 2006. doi: 10.1016/j.wear.2005.12.007.
18. C. Claudin, and J. Rech. Development of a new rapid characterization method of hob’s wear resistance in gear manufacturing – Application to the evaluation of various cutting edge preparations in high speed dry gear hobbing. Journal of Materials Processing Technology, 209(11):5152–5160, 2009. doi: 10.1016/j.jmatprotec.2009.02.014.
19. B. Hoffmeister. About Wear on the Hob. D.Sc. Thesis, RWTH Aachen, Germany, 1970 (in German).
20. I. Hrytsay, and V. Stupnytskyy. Prediction the durability of hobs based on contact, and friction analysis on the faces for cutting teeth, and edges during hobbing. In: V. Ivanov, J. Trojanowska, I. Pavlenko, J. Zajac, D. Peraković (eds): Advances in Design, Simulation and Manufacturing IV. Lecture Notes in Mechanical Engineering. Springer, 1:405–414, 2021. doi: 10.1007/978-3-030-77719-7_40.
21. F. Klocke. Manufacturing Processes, Cutting. Springer, RWTH edition, 2011.
22. M.P. Mazur, V.M. Vnukov, V.L. Dobroskok, V.O. Zaloga, J.K. Novosiolov, and F.J. Yakubov. Fundamentals of the Theory of Cutting Materials. Novyy Svit, 2011 (in Ukrainian).
23. I. Hrytsay, V. Stupnytskyy, and V. Topchii. Simulation of loading, and wear rate distribution on cutting edges during gears hobbing. Archive of Mechanical Engineering, 68(1):52–76, 2021. doi: 10.24425/ame.2021.137041.
24. A.B. Aleksandrovich, B.D. Danilenko, Y.V. Loshchinin, T.A. Kolyadina, and I.M. Khatsinskaya. Thermophysical properties of low-alloy high-speed steels. Metal Science and Heat Treatment, 30:502–504, 1988. doi: 10.1007/BF00777438.
25. N.G. Abuladze. Character, and the length of tool–chip contact. In Proceedings of the Machinability of Heat-Resistant and Titanium Alloys, pages 68–78, Kuibyshev, S.U., 1962. (in Russian)..

[1] M. Motyka, W. Ziaja, and J. Sieniawski. Titanium Alloys – Novel Aspects of Their Manufacturing and Processing. IntechOpen, London, 2019.
[2] A.Í.S. Antonialli, A.E. Diniz, and R. Pederiva. Vibration analysis of cutting force in titanium alloy milling. International Journal of Machine Tools and Manufacture, 50(1):65–74, 2010. doi: 10.1016/j.ijmachtools.2009.09.006.
[3] Q. Yang, Z. Liu, Z. Shi, and B. Wang. Analytical modeling of adiabatic shear band spacing for serrated chip in high-speed machining. The International Journal of Advanced Manufacturing Technology, 71:1901–1908, 2014. doi: 10.1007/s00170-014-5633-x.
[4] V.P. Astakhov. Metal Cutting Mechanics. CRC Press, Boca Raton, 1998.
[5] V.P. Astakhov and J.C. Outeiro. Metal cutting mechanics, finite element modelling. In J.P. Davim (ed), Machining. Fundamentals and Recent Advances, chapter 1, pages 1–27. Springer-Verlag London, 2008. doi: 10.1007/978-1-84800-213-5_1.
[6] F. Novikov and E. Benin. Determination of conditions ensuring cost price reduction of machinery. Economics of Development, 3(63):69–74, 2012.
[7] J.P. Davim (ed.). Machining of Titanium Alloys. Springer-Verlag Berlin, Heidelberg, 2014.
[8] F. Klocke, W. König, and K. Gerschwiler. Advanced machining of titanium- and nickel-based alloys. In: E. Kuljanic (ed.) Advanced Manufacturing Systems and Technology. CISM Courses and Lectures, vol. 372, chapter 1, pages 7–42. Springer, Vienna, 1996. doi: 10.1007/978-3-7091-2678-3_2.
[9] V.P. Astakhov. Tribology of Metal Cutting. Elsevier, London, 2006.
[10] J.P. Davim (ed.). Tribology in Manufacturing Technology. Springer, Berlin, Heidelberg, 2013. doi: 10.1007/978-3-642-31683-8.
[11] S.G. Larsson. The cutting process – A tribological nightmare. Technical Report, Seco Corp., Bern, Switzerland, December 2014. http://cbnexpert.blogspot.com/2014).
[12] P.L.B. Oxley. Mechanics of Machining: An Analytical Approach to Assessing Machinability, John Wiley & Sons, New York, 1989.
[13] A. Moufki, D. Dudzinski, and G. Le Coz. Prediction of cutting forces from an analytical model of oblique cutting, application to peripheral milling of Ti-6Al-4V alloy. The International Journal of Advanced Manufacturing Technology, 81:615–626, 2015. doi: 10.1007/s00170-015-7018-1.
[14] M.J. Bermingham, S. Palanisamy, and M.S. Dargusch. Understanding the tool wear mechanism during thermally assisted machining Ti-6Al-4V. International Journal of Machine Tools and Manufacture, 62:76–87, 2012, doi: 10.1016/j.ijmachtools.2012.07.001.
[15] O.C. Zienkiewicz, R.L. Taylor, and D.D. Fox. The Finite Element Method for Solid and Structural Mechanics. 7th edition. Butterworth-Heinemann, Oxford, 2014.
[16] F. Klocke. Manufacturing Processes 1. Cutting. Springer-Verlag, Berlin Heidelberg, 2011. doi: 10.1007/978-3-642-11979-8.
[17] D.A. Stephenson and J.S. Agapiou. Metal Cutting Theory and Practice. 3rd edition. CRC Press, Boca Raton, 2016.
[18] H. Shi. Metal Cutting Theory. New Perspectives and New Approaches. Springer, 2018.
[19] V. Stupnytskyy and I. Hrytsay. Simulation study of cutting-induced residual stress. In: Advances in Design, Simulation and Manufacturing II. DSMIE 2019. Lecture Notes in Mechanical Engineering: 341-350, 2020. doi: 10.1007/978-3-030-22365-6_34.
[20] N.G. Burago and V.N. Kukudzhanov. About damage and localization of strains. Problems of Strength and Plasticity, 63:40–48, 2001. doi: 10.13140/RG.2.1.4749.9923.
[21] P.Ståhle, A. Spagnoli, and M. Terzano. On the fracture processes of cutting. Procedia Structural Integrity, 3:468–476, 2017. doi: 10.1016/j.prostr.2017.04.063.
[22] E. Gdoutos. Fracture Mechanics Criteria and Applications. Springer Netherlands, 1990.
[23] S.L.M.R. Filho, R.B.D. Pereira, C.H. Lauro, and L.C. Brandao. Investigation and modelling of the cutting forces in turning process of the Ti-6Al-4V and Ti-6Al-7Nb titanium alloys. The International Journal of Advanced Manufacturing Technology, 101:2191–2203, 2019. doi: 10.1007/s00170-018-3110-7.
[24] A. Pramanik and G. Littlefair. Wire EDM mechanism of MMCs with the variation of reinforced particle size. Materials and Manufacturing Processes, 31(13):1700–1708, 2016. doi: 10.1080/10426914.2015.1117621.
[25] V. Stupnytskyy and I. Hrytsay. Comprehensive analysis of the product’s operational properties formation considering machining technology. Archive of Mechanical Engineering, 67(2):149–167, 2020. doi: 10.24425/ame.2020.131688.
[26] T. Obikawa and E. Usui. Computational Mmachining of titanium alloy—finite element modeling and a few results. Journal of Manufacturing Science and Engineering, 118(2):208–215, 1996. doi: 10.1115/1.2831013.
[27} M. Rahman, Z.-G. Wang, and Y.-S. Wong. A review on high-speed machining of titanium alloys. JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing, 49(1):11-20, 2006. doi: 10.1299/jsmec.49.11.
[28] G. Chen, C. Ren, X. Yang, X. Jin, and T. Guo. Finite element simulation of high-speed machining of titanium alloy (Ti–6Al–4V) based on ductile failure model. The International Journal of Advanced Manufacturing Technology, 56:1027–1038, 2011. doi: 10.1007/s00170-011-3233-6.
[29] T. Tamizharasan and N. Senthilkumar. Optimization of cutting insert geometry using DEFORM-3D: numerical simulation and experimental validation. International Journal of Simulation Modelling, 11(2):65–76, 2012. doi: 10.2507/IJSIMM11(2)1.200.
[30] E. Usui, T. Shirakashi, and T.Kitagawa. Analytical prediction of cutting tool wear. Wear, 100 (1-3):129–151, 1984. doi: 10.1016/0043-1648(84)90010-3.
[31] J.F. Archard. Contact and rubbing of flat surfaces. Journal of Applied Physics, 24:981–988, 1953. doi: 10.1063/1.1721448.
[32] A.G. Suslov. To the problem of friction and wear of machinery. Journal of Friction and Wear, 5:801-807, 1990.
[33] P.J. Blau. Amontons’ laws of friction. In: Q.J. Wang, Y.W. Chung. (eds) Encyclopedia of Tribology. Springer, Boston, 2013. doi: 10.1007/978-0-387-92897-5_166.
[34] P.D. Hartung, B.M. Kramer, and B.F. von Turkovich. Tool wear in titanium machining. CIRP Annals, 31(1):75–80, 1982. doi: 10.1016/S0007-8506(07)63272-7.
[35] A.G. Kisel’, D.S. Makashin, K.V. Averkov, and A.A. Razhkovskii. Effectiveness and physical characteristics of machining fluid. Russian Engineering Research, 38:508–512, 2018. doi: 10.3103/S1068798X18070092.
[36] D.V. Evdokimov and M.A. Oleynik. Research of the friction coefficient of titanium and instrumental alloys. Dry and boundary friction. News of Samara Scientific Center of the Russian Academy of Sciences, 22(1):43-46, 2020. doi: 10.37313/1990-5378-2020-22-1-43-46 (in Russian).
[37] Y. Su, L. Li, G. Wang, and X. Zhong. Cutting mechanism and performance of high-speed machining of a titanium alloy using a super-hard textured tool. Journal of Manufacturing Processes, 34(A):706-712, 2018. 10.1016/j.jmapro.2018.07.004.
[38] R.B. Da Silva, J.M. Vieira, R.N. Cardoso, H.C. Carvalho, E.S. Costa, A.R. Machado and R.F. De Ávila. Tool wear analysis in milling of medium carbon steel with coated cemented carbide inserts using different machining lubrication/cooling systems. Wear, 271(9-10):2459–2465, 2011. 10.1016/j.wear.2010.12.046.
[39] S.Y. Hong, I. Markus, and W.-C. Jeong. New cooling approach and tool life improvement in cryogenic machining of titanium alloy Ti-6Al-4V. International Journal of Machine Tools and Manufacture, 41(15):2245–2260, 2001. doi: 10.1016/S0890-6955(01)00041-4.
[40] V. Stupnytskyy and I. Hrytsay. Computer-aided conception for planning and researching of the functional-oriented manufacturing process. In: Tonkonogyi V. et al. (eds): Advanced Manufacturing Processes. InterPartner 2019. Lecture Notes in Mechanical Engineering, pages 309–320. Springer, Cham, 2020. doi: 10.1007/978-3-030-40724-7_32.

[1] B. Karpuschewski, H.J. Knoche, M. Hipke, and M. Beutner. High performance gear hobbing with powder-metallurgical high-speed-steel. In Procedia CIRP, 1:196–201, 2012. doi: 10.1016/j.procir.2012.04.034.
[2] B. Karpuschewski, M. Beutner, M. Köchig, and C. Härtling. Influence of the tool profile on the wear behaviour in gear hobbing. CIRP Journal of Manufacturing Science and Technology, 18:128–134, 2018. doi: 10.1016/j.cirpj.2016.11.002.
[3] K.-D. Bouzakis, O. Friderikos, I. Mirisidis, and I. Tsiafis. Geometry and cutting forces in gear hobbing by a FEM-based simulation of the cutting process. In Proceedings of the 8th CIRP International Workshop on Modeling of Machining Operations, 10-11 May, Chemnitz, 2005.
[4] F. Klocke, C. Gorgels, R. Schalaster, and A. Stuckenberg. An innovative way of designing gear hobbing processes. Gear Technology, May:48–53, 2012.
[5] K.D. Bouzakis, S. Kombogiannis, A. Antoniadis, and N. Vidakis. Gear hobbing cutting process simulation and tool wear prediction models. Journal of Manufacturing Science and Engineering, 124(1):42–51, 2002. doi: 10.1115/1.1430236.
[6] K.D. Bouzakis, E. Lili E, N. Michailidis, and O. Friderikos. Manufacturing cylindrical gears by generating cutting processes: a critical synthesis of analysis methods. CIRP Annals, 57(2):676–696, 2008. doi: 10.1016/j.cirp.2008.09.001.
[7] G. Skordaris, K.D. Bouzakis, T. Kotsanis, P. Charalampous, E. Bouzakis, O. Lemmer, and S. Bolz. Film thickness effect on mechanical properties and milling performance of nano-structured multilayer PVD coated tools. Surface and Coatings Technology, 307, Part A:452–460, 2016, doi: 10.1016/j.surfcoat.2016.09.026.
[8] K.D. Bouzakis, S. Kombogiannis, A. Antoniadis, and N. Vidakis. Modeling of gear hobbing. Cutting simulation, tool wear prediction models and computer supported experimental-analytical determination of the hob life-time. In Proceeding of ASME International Mechanical Engineering Congress and Exposition, volume 1, pages 261–269, Shannon, 14–19 November, 1999.
[9] N. Sabkhi, A. Moufki, M. Nouari, C. Pelaingre, and C. Barlier. Prediction of the hobbing cutting forces from a thermomechanical modeling of orthogonal cutting operation. Journal of Manufacturing Processes, 23:1–12, 2016. doi: 10.1016/j.jmapro.2016.05.002.
[10] V. Dimitriou and A. Antoniadis. CAD-based simulation of the hobbing process for the manufacturing of spur and helical gears. The International Journal of Advanced Manufacturing Technology, 41(3-4):347–357, 2009. doi: 10.1007/s00170-008-1465-x.
[11] C. Claudin and J. Rech. Effects of the edge preparation on the tool life in gear hobbing. In Proceedings of the 3rd International Conference on Manufacturing Engineering (ICMEN), pages 57-70, Chalkidiki, Greece, 1-3 October 2008.
[12] J. Rech. Influence of cutting edge preparation on the wear resistance in high speed dry gear hobbing. Wear, 261(5-6):505–512, 2006. doi: 10.1016/j.wear.2005.12.007.
[13] C. Claudin and J. Rech. Development of a new rapid characterization method of hob’s wear resistance in gear manufacturing – Application to the evaluation of various cutting edge preparations in high speed dry gear hobbing. Journal of Materials Processing Technology, 209(11):5152–5160, 2009. doi: 10.1016/j.jmatprotec.2009.02.014.
[14] B. Hoffmeister. Über den Verschleiß am Wälzfräser (About wear on the hob). D.Sc. Thesis, RWTH Aachen, Germany, 1970 (in German).
[15] V.P. Astakhov. Metal Cutting Mechanics. CRC Press, 1999.
[16] P. Gutmann. Zerspankraftberechnung beim Waelzfraesen (Calculation of the cutting force for hobbing). Ph.D. Thesis, RWTH Aachen University, Aachen, Germany, 1988 (in German).
[17] I. Hrytsay, V.Stupnytskyy, and V. Topchii. Improved method of gear hobbing computer aided simulation. Archive of Mechanical Engineering, 66(4):475–494, 2019. doi: 10.24425/ame.2019.131358.
[18] V. Stupnytskyy and I. Hrytsay. Computer-aided conception for planning and researching of the functional-oriented manufacturing process. In: Tonkonogyi V. et al. (eds) Advanced Manufacturing Processes. InterPartner-2019. Lecture Notes in Mechanical Engineering, pages 309–320, 2020. doi: 10.1007/978-3-030-40724-7_32.
[19] I. Hrytsay and V. Stupnytskyy. Advanced computerized simulation and analysis of dynamic processes during the gear hobbing. In: Tonkonogyi V. et al. (eds) Advanced Manufacturing Processes. InterPartner-2019. Lecture Notes in Mechanical Engineering, pages 85–97, 2019. doi: 10.1007/978-3-030-40724-7_9.
[20] S.S. Silin. Similarity Methods in Metal Cutting, Mashinostroenie, Moscow, 1979. (in Russian).
[21] S.P. Radzevich. Gear Cutting Tools. Science and Engineering. CRC Press, 2017.

[1] D. Ulutan and T. Ozel. Machining induced surface integrity in titanium and nickel alloys: A review. International Journal of Machine Tools and Manufacture, 51(3):250–280, 2011. doi: 10.1016/j.ijmachtools.2010.11.003.
[2] J.P. Davim (ed.). Machining of Titanium Alloys. Springer-Verlag, Berlin, 2014. doi: 10.1007/978-3-662-43902-9.
[3] M. Motyka, W. Zaja, and J. Sieniawski. Titanium Alloys – Novel Aspects of Their Manufacturing and Processing. IntechOpen, 2019.
[4] J.P. Davim (ed.). Surface Integrity in Machining. Springer, London, 2010. doi: 10.1007/978-1-84882-874-2.
[5] K. Cheng (ed.). Machining Dynamics. Fundamentals, Applications and Practices. Springer, London, 2009. doi: 10.1007/978-1-84628-368-0.
[6] T.L. Schmitz and K.S. Smith. Machining Dynamics. Frequency Response to Improved Productivity. Springer, New York, 2009. doi: 10.1007/978-0-387-09645-2.
[7] W. Cheng and J.C. Outeiro. Modelling orthogonal cutting of Ti-6Al-4 V titanium alloy using a constitutive model considering the state of stress. The International Journal of Advanced Manufacturing Technology, 119:4329–4347, 2022. doi: 10.1007/s00170-021-08446-9.
[8] M. Sima, and T. Özel. Modified material constitutive models for serrated chip formation simulations and experimental validation in machining of titanium alloy Ti–6Al–4V. I nternational Journal of Machine Tools and Manufacture, 50(11):943–960, 2010. doi: 10.1016/j.ijmachtools.2010.08.004.
[9] V. Stupnytskyy and I. Hrytsay. Comprehensive analysis of the product’s operational properties formation considering machining technology. Archive of Mechanical Engineering, 67(2):149–167, 2020. doi: 10.24425/ame.2020.131688.
[10] V. Stupnytskyy, I. Hrytsay, and Xianning She. Finite element analysis of thermal and stress-strain state during titanium alloys machining. In: Advanced Manufacturing Processes II. Lecture Notes in Mechanical Engineering, 629–639, Springer, 2021. doi: 10.1007/978-3-030-68014-5_61.
[11] M.K. Gupta, M.E. Korkmaz, M. Sarıkaya, G.M. Krolczyk, M. Günay and S. Wojciechowski. Cutting forces and temperature measurements in cryogenic assisted turning of AA2024-T351 alloy: An experimentally validated simulation approach. Measurement, 188:110594, 2022. doi: 10.1016/j.measurement.2021.110594.
[12] Y.-P. Liu and Y. Altintas. Predicting the position-dependent dynamics of machine tools using progressive network. Precision Engineering, 73: 409–422, 2022. doi: 10.1016/j.precisioneng.2021.10.010.
[13] A. Pramanik and G. Littlefair. Machining of titanium alloy (Ti-6Al-4V)—theory to application. Machining Science and Technology, 19(1):1–49, 2015. doi: 10.1080/10910344.2014.991031.
[14] W. Cheng, J. Outeiro, J.-P. Costes, R. M’Saoubi, H. Karaouni, L. Denguir, V. Astakhov, and F. Auzenat. Constitutive model incorporating the strain-rate and state of stress effects for machining simulation of titanium alloy Ti6Al4V. Procedia CIRP, 77:344–347, 2018. doi: 10.1016/j.procir.2018.09.031.
[15] S. Wojciechowski, P. Twardowski, and M. Pelic. Cutting forces and vibrations during ball end milling of inclined surfaces. P rocedia CIRP, 14:113–118, 2014. doi: 10.1016/j.procir.2014.03.102.
[16] D. Chen, J. Chen, and H. Zhou. The finite element analysis of machining characteristics of titanium alloy in ultrasonic vibration assisted machining. Journal of Mechanical Science and Technology, 35:3601–3618, 2021. doi: 10.1007/s12206-021-0731-9.
[17] Q. Yang, Z. Liu, Z. Shi, and B. Wang. Analytical modeling of adiabatic shear band spacing for serrated chip in high-speed machining. The International Journal of Advanced Manufacturing Technology. 71:1901–1908, 2014. doi: 10.1007/s00170-014-5633-x.
[18] A.Í.S. Antonialli, A.E. Diniz, and R. Pederiva. Vibration analysis of cutting force in titanium alloy milling. International Journal of Machine Tools and Manufacture. 50(1):65–74, 2010. doi: 10.1016/j.ijmachtools.2009.09.006.
[19] G. Korendyasev. An approach to modeling self-oscillations during metal machining based on a finite-element model with small amount of computing resources. Vibroengineering PROCEDIA, 32:6–12, 2020. doi: 10.21595/vp.2020.21437.
[20] J. Klingelnberg. Dynamics of machine tools. In: Klingelnberg, J. (ed.): Bevel Gear, pages 311–320, Springer Vieweg, 2016. doi: 10.1007/978-3-662-43893-0_8.
[21] Y. Petrakov, M. Danylchenko, and A. Petryshyn. Prediction of chatter stability in turning. Eastern-European Journal of Enterprise Technologies, 5(1):58–64, 2019. doi: 10.15587/1729-4061.2019.177291.
[22] S.K. Choudhury, N.N. Goudimenko, and V.A. Kudinov. On-line control of machine tool vibration in turning. International Journal of Machine Tools and Manufacture. 37(6):801–811, 1997. doi: 10.1016/S0890-6955(96)00031-4.
[23] A. Liljerehn. Machine Tool Dynamics. A constrained state-space substructuring approach. Ph.D. Thesis, Göteborg, Sweden, 2016.
[24] G.R. Johnson and W.N. Cook. A constitutive model and data for metals subjected to large strains. High rates and high temperatures. In 7th International Symposium on Ballistics, pages 541–547, Hague, Netherlands, 19–21 April 1983.
[25] Y. Zhang, J.C. Outeiro, and T. Mabrouki. On the selection of Johnson-Cook constitutive model parameters for Ti-6Al-4V using three types of numerical models of orthogonal cutting. Procedia CIRP, 31:112–117, 2015. doi: 10.1016/j.procir.2015.03.052.
[26] D. Yan, T. Wu, Y. Liu, and Y. Gao. An efficient sparse-dense matrix multiplication on a multicore system. In 17th International Conference on Communication Technology (ICCT), pages 1880–1883, Chengdu, China, 27-30 October 2017. doi: 10.1109/ICCT.2017.8359956.
[27] M. Binder, F. Klocke, and D. Lung. Tool wear simulation of complex shaped coated cutting tools. Wear, 330–331:600–607, 2015. doi: 10.1016/j.wear.2015.01.015.
[28] D. Alleyne and P. Cawley. A two-dimensional Fourier transform method for the measurement of propagating multimode signals. The Journal of the Acoustical Society of America, 89(3):1159–1168, 1991. doi: 10.1121/1.400530.
[29] C.M. Harris and A.G. Piersol. Harris' Shock and Vibration Handbook. McGraw-Hill, 2002.
[30] S.A. Sina, H.M. Navazi, and H. Haddadpour. An analytical method for free vibration analysis of functionally graded beams. Materials and Design, 30(3):741–747, 2009. doi: 10.1016/j.matdes.2008.05.015.