Development of a new theory of thermal cutting processes1 5. General mathematical apparatus of the thermophysics of cutting (Part 2)

The basic mathematical equations required to construct a theory of thermal cutting processes are considered for heat transfer at adiabatic and isothermal surfaces. A method of taking account of the actual cutter shape is presented.     

Development of a new theory of thermal cutting processes 14. General mathematical apparatus of the thermophysics of cutting (Part 3)

The discussion of a continuous heat source completes the presentation of the basic mathematical equations required to construct a theory of thermal cutting processes.     

Development of a new theory of thermal cutting processes 4. Analysis of the basic thermophysical theories of cutting (Part 1)

The difficulties in constructing a theory of the thermal processes in cutting are illustrated by the analysis of theoretical work by Bobrik and his colleagues at Moscow Aviation Engineering Institute.     

Development of a new theory of thermal cutting processes 1. basic principles

The cycle of papers that begins here—which is a continuation of the cycle published in 2008 (“Vestnik Mashinostroeniya”, nos. 1–12)—establishes the need for a new mathematical theory of thermal cutting processes, capable of adequately describing and explaining the experimental findings. The final papers in the cycle will outline such a theory and confirm its high accuracy. Consistent numbering of formulas and figures will be used throughout, as well as the notation employed in the previous cycle. In the first paper, the basic principles of the mathematical theory are presented.     

Development of a new theory of thermal cutting processes 4. Analysis of the basic thermophysical theories of cutting (Part 2)

Deficiencies are identified in theoretical work by Belousov regarding the theory of thermal cutting processes.     

Development of a new theory of thermal cutting processes 11. Analysis of the basic thermophysical theories of cutting (Part 8)

A monograph by Komarov regarding the theory of thermal cutting processes is analyzed.     

Development of a new theory of thermal cutting processes 4. Analysis of the basic thermophysical theories of cutting (Part 4)

Deficiencies are identified in theoretical work by Khvorostukhin regarding the theory of thermal cutting processes.     

Development of a new theory of thermal cutting processes 9. Analysis of the basic thermophysical theories of cutting (Part 6)

Deficiencies are identified in theoretical work by Silin regarding the theory of thermal cutting processes.     

Development of a new theory of thermal cutting processes 4. Analysis of the basic thermophysical theories of cutting (Part 3)

Further deficiencies are identified in theoretical work by Belousov regarding the theory of thermal cutting processes.     

Development of a new theory of thermal cutting processes: 17. Determining the temperature fields and contact temperatures in cutting (Part 3)

Specific formulas for thermal processes in cutting are derived. The relation between the cutting temperature and the yield stress of the machined material is taken into account for the first time.     

Development of a new theory of thermal cutting processes1 4. Analysis of the basic thermophysical theories of cutting (part 5)

Deficiencies are identified in theoretical work by Silin regarding the theory of thermal cutting processes.     

Development of a new theory of thermal cutting processes 18. Determining the temperature fields and contact temperatures in cutting (part 1)

A method of calculating the cutting temperature is outlined. The accuracy of the method is confirmed by comparison with independent experimental data.     

Development of a new theory of thermal cutting processes: 15. Determining the temperature fields and contact temperatures in cutting (part 1)

Methods of determining the heat-flux distribution coefficient are analyzed. Thermal processes at the chip-blank contact surface are investigated.     

Development of a new theory of thermal cutting processes 20. Examples of practical calculations of the cutting temperature (part 3)

The calculation of the cutting temperature is illustrated by examples. The accuracy of practical calculations by the proposed method is confirmed by comparison with independent experimental data.     

Development of a new theory of thermal cutting processes 10. Analysis of the basic thermophysical theories of cutting (part 7)

Monographs by Reznikov, Talantov, and Ryzhkin regarding the theory of thermal cutting processes are analyzed.     

Development of a new theory of thermal cutting processes 16. Determining the temperature fields and contact temperatures in cutting (part 2)

Thermal processes at the cutter-blank surface and the chip-cutter surface are investigated.     

Development of a new theory of thermal cutting processes 19. Determining the temperature fields and contact temperatures in cutting (part 2)

The calculation of the cutting temperature is illustrated by examples. The accuracy of practical calculations by the proposed method is confirmed by comparison with independent experimental data.     

Development of a new theory of thermal cutting processes 2. Temperature distribution over the chip thickness

The temperature distribution over the chip thickness in cutting is analyzed. For the first time, a mathematical explanation is offered for the types of temperature distribution observed, with illustrative examples.     

Development of a new theory of thermal cutting processes 21. Determining optimal cutting conditions to extend tool life

The calculation of cutting conditions that are optimal in terms of tool life is illustrated by examples. The calculations are shown to be highly accurate.