# Mathematical Apparatus for Predicting Cutting Tool Life in Turning Process After Prior Plastic Deformation

• D. Kraynev
• A. Bondarev
• Z. Tikhonova
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

## Abstract

The paper considers the mechanism of action of turning with prior plastic deformation (PPD) on the laws of the cutting process and the durability of the cutting tool. The reasons and physics of this method of processing on the characteristics of the treated surface are analyzed. The theoretical substantiation of the established effect, as well as practical recommendations of application, are offered. It is established that the change of physical and mechanical properties of the processed material after PPD, the change of physical processes in the processing zone, reduces the temperature and force stress of removal of the allowance and the load on the cutting edge. The authors developed a mathematical model that predicts the life of the cutting tool blades in turning after the APD of the surface machined. The regression analysis has revealed the response function effect and allowed evaluating the effect of each factor on it. A formula for calculating the life of the cutting tool blade has been proposed, which expands the applicability of the APD cutting method in the practice of machining.

## Keywords

Numerical scheme Turning Wear Durability Cutting tool Prior plastic deformation Hard alloy

## References

1. 1.
Poduraev VN (1974) Rezanie trudnoobrabatyvaemykh materialov (cutting of hard-to-work materials). Vysshaya Shkola, MoscowGoogle Scholar
2. 2.
Polyanchikov YuN, Kraynev DV et al (2012) Improving medium to finish turning of stainless and heat resisting steels by the use of advanced plastic deformation. ONIKS, TogliattiGoogle Scholar
3. 3.
Polyanchikov YuN, Krainev DV et al (2011) Improved cutting of steels by means of preceding plastic deformation. Russ Eng Res 31(1):82–84
4. 4.
Mozberg RK (1991) Materialovedenie (materials science). Vysshaya Shkola, MoscowGoogle Scholar
5. 5.
Lebedev VA, Podel’skii MA (2004) Assessing the efficiency of preceding plastic deformation on thermodynamic principles. Vestn Mashinostr 9:63–67Google Scholar
6. 6.
Ignatov SN, Karnov AV (2004) Assessing the efficiency of cutting by means of a dimensionless energy index. STIN 12:23–25Google Scholar
7. 7.
Polyanchikov YuN, Krainev DV, Norchenko PA et al (2011) Improved cutting of steels by means of preceding plastic deformation. Russ Eng Res 31:82–84.
8. 8.
Bondarev AA, Kraynev DV et al (2014) Increasing of working capacity of the cutting tool during turning with advanced plastic deformation. In: Modern scientific research and their practical application: research bulletin SWorld. https://www.sworld.com.ua/e-journal/j11410.pdf. Accessed 22 Mar 2014
9. 9.
Nesterenko PS, Bondarev AA et al (2014) Mathematical model of formation the axial component of the cutting forces at turning structural alloyed steel 3120. In: Modern scientific research and their practical application: research bulletin SWorld. https://www.sworld.com.ua/e-journal/j11410.pdf. Accessed 22 Mar 2014
10. 10.
Ingemansson AR, Zaitseva NG et al (2012) Improving the quality of processing and a mathematical model of formation of surface roughness when cutting with outrunning plastic deformation. Bulletin of Ufa State Aviation. Tekhn Univ 4:165–170Google Scholar
11. 11.
Norchenko P, Kraynev D, Kozachuknenko I (2016) The problem of forecasting the facial layer quality while cutting steel with advance plastic deformation. In: Radionov AA (ed) Procedia engineering: 2nd international conference on industrial engineering (ICIE-2016), vol 150. Elsevier Publishing, pp 821–826Google Scholar
12. 12.
Ingemansson AR (2012) Improving the turning efficiency of hard-to-cut steels of ferritic, martensitic-ferritic, and martensitic classes using prior plastic deformation. Dissertation, Volgograd State Technical UniversityGoogle Scholar
13. 13.
Loladze TN (1958) Prochnost i iznosostoykost rezhushego instrumenta (Strength and wear resistance of the cutting tool) Mashgiz, MoscowGoogle Scholar
14. 14.
Tchigirinsky JuL (2010) Matematicheskie metodi upravlenia processami mehanicheskoy obrabotki (Mathematical methods of the control of the machining processes). Volgograd State Technical University, VolgogradGoogle Scholar
15. 15.
Evdokimov YuA et al (1980) Planirovanie i analiz experimentov pri reshenii zadach trenia i iznosa (Planning and analysis of experiments in solving problems of friction and wear). Science, MoscowGoogle Scholar
16. 16.
Bondarev AA, Kraynev DV et al (2014) Improving the performance of the cutting tool in prior plastic deformation turning. In: Modern scientific research and their practical application: research bulletin SWorld. https://www.sworld.com.ua/e-journal/j11410.pdf. Accessed 22 Mar 2014
17. 17.
Chigirinsky YuL, Chigirinskaya NV et al (2002) Stohasticheskoe modelirovanie v mashinostroenii (Stochastic modeling in mechanical engineering). VSTU, VolgogradGoogle Scholar

© Springer Nature Switzerland AG 2020