Hyperbolae Method Analysis of a Wedge Flow at Free Cutting

М. О. Kurin

National Aerospace University ‘Kharkiv Aviation Institute’, 17 Chkalov Str., 61070 Kharkiv, Ukraine

Received: 19.02.2018; final version - 19.05.2018. Download: PDF

A pattern of plastic deformation of metal during cutting-wedge flow is considered. A new method is proposed for determining the field of flow velocities. It takes into account the rotation of metal particles and, thereby, the action of non-conservative forces. A set of equations is obtained on the basis of developed method. This set describes the field of metal flow velocities during wedge-shaped body flow with an allowance for the dissipative processes taking place in a metal. The families of streamlines are obtained for the three characteristic types of angles, which confirm the adequacy of model representations and mathematical calculations.

Key words: cutting wedge, plastic deformation, streamlines, velocity fields.

URL: http://mfint.imp.kiev.ua/en/abstract/v40/i07/0859.html

DOI: https://doi.org/10.15407/mfint.40.07.0859

PACS: 46.55.+d, 47.10.A-, 06.60.Vz, 81.20.Wk, 81.40.Lm, 81.40.Pq, 83.50.-v

Citation: М. О. Kurin, Hyperbolae Method Analysis of a Wedge Flow at Free Cutting, Metallofiz. Noveishie Tekhnol., 40, No. 7: 859—876 (2018) (in Russian)


REFERENCES
  1. Yu. N. Alekseev, Vvedenie v Teoriyu Obrabotki Metallov Davleniem Prokatkoy i Rezaniem [Introduction to the Theory of Metal Processing Pressure Rolling and Cutting] (Kharkov: Izdatel'stvo KhGU: 1969) (in Russian).
  2. Yu. N. Alekseev and O. F. Zamshev, Obrabotka Metallov Davleniem, No. 7: 132 (1971) (in Russian).
  3. N. Ya. Fabrikant, Aerodinamika [Aerodynamics] (Moscow: Nauka: 1964) (in Russian).
  4. L. G. Loytsyanskiy, Mekhanika Zhidkosti i Gaza [Mechanics of Fluid and Gas] (Moscow: Nauka: 1978) (in Russian).
  5. H. Kolsky, Volny Napryazheniya v Tverdykh Telakh [Stress Waves in Solids] (Moscow: Izd-vo Inostr. Lit-ry: 1953) (in Russian).
  6. M. O. Kurin and M.  V. Surdu, Metallofiz. Noveishie Tekhnol., 39, No. 3: 401 (2017) (in Ukrainian). Crossref
  7. V. K. Starkov, Fizika i Optimizatsiya Rezaniya Materialov [Physics and Optimization of Cutting Materials] (Moscow: Mashinostroenie: 2009) (in Russian).
  8. V. S. Kushner and O. Yu. Burgonova, Teoriya Struzhkoobrazovaniya [Theory of Chip Formation] (Omsk: Izd-vo OmGTU: 2011) (in Russian).
  9. A. M. Rozenberg and A. N. Eremin, Elementy Teorii Protsessa Rezaniya Metallov [Elements of the Theory of the Process of Metal Cutting] (Moscow–Sverdlovsk: Mashgiz. Uralo-Sib. Otdelenie: 1956) (in Russian).