Thermodynamic instabilities in machining processes. 1. General solution of a mathematical model

  • M. L. Kheifets


The author considers a mathematical model that describes the formation of thermodynamic instabilities (outgrowths, adiabatic shifts, and others) in machining processes in the context of mesoscopic, microscopic, and macroscopic approaches to the technological system.


Mathematical Model Statistical Physic General Solution Machine Process Technological System 
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  1. 1.
    A. M. Vulf, Metal Cutting [in Russian], Leningrad (1973).Google Scholar
  2. 2.
    Yu. G. Kabaldin and O. I. Medvedeva, Vestn. Mashinostr., No.5, 37–39 (1989).Google Scholar
  3. 3.
    N. N. Zorev, Problems of the Mechanics of the Metal Cutting Process [in Russian], Moscow (1956).Google Scholar
  4. 4.
    N. V. Talantov, in: Physical Processes in the Cutting of Metals [in Russian], Volgograd (1984), pp. 3–37.Google Scholar
  5. 5.
    A. N. Reznikov (ed.), Metal Cutting with Plasma Heating [in Russian], Moscow (1986).Google Scholar
  6. 6.
    E. G. Konovalov, V. A. Sidorenko, and A. V. Sous, Progressive Schemes of Rotational Cutting of Metals [in Russian], Minsk (1972).Google Scholar
  7. 7.
    A. S. Vereshchaka and I. P. Tret'yakov, Cutting Tools with Wear-Resistant Coatings [in Russian], Moscow (1986).Google Scholar
  8. 8.
    G. Hacken, Information and Self-Organization. Macroscopic Approach to Complex Systems [Russian translation], Moscow (1991).Google Scholar
  9. 9.
    V. Ebeling, Structure Formation in Irreversible Processes: Introduction to the Theory of Dissipative Structures [Russian translation], Moscow (1979).Google Scholar
  10. 10.
    G. Nikolis and I. P. Prigogine, Self-Organization in Nonequilibrium Systems. From Dissipative Structures to Ordering via Fluctuations [in Russian], Moscow (1979).Google Scholar
  11. 11.
    Yu. I. Klimontovich, Kinetic Theory of Nonideal Gas and Nonideal Plasma [in Russian], Moscow (1975).Google Scholar
  12. 12.
    A. I. Dobrolyubov, Wave Motions of Deformable Bodies and Liquids: Kinematics and Mass Transfer [in Russian], Minsk (1989).Google Scholar
  13. 13.
    P. Berge, I. Pomo, and K. Vidal, Order in Chaos. On the Deterministic Approach to Turbulence [Russian translation], Moscow (1991).Google Scholar
  14. 14.
    G. I. Kufarev, K. B. Okeanov, and V. A. Govorukhin, Chip Formation and Quality of the Machined Surface in Forces Cutting [in Russian], Frunze (1970).Google Scholar

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© Plenum Publishing Corporation 1995

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  • M. L. Kheifets

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