This article attempts to show how the theory of fuzzy sets may be used in explaining non-monotonic behaviour of the tool life function. Results obtained in orthogonal turning of Stellite cobalt alloys served as a basis for presenting rules underlying the so called areas of undetermined chip formation and for determining local extremes of the function. Fuzzy set theory is presented to the extent that it is capable of explaining the observed bifurcation between two branches of the function.
PODURAYEVV. N.: ‘Cutting of difficult-to-machine materials’, 74; 1974, Moscow, Vysshaya Shkola (in Russian).
3.
KROBACHERE. J. and MERCHANTM. E.: Trans. ASME, 1951, 94, 761.
4.
ALMEIDAS. M. DE and HINDSB. K.: Proc. 21st Int. Mech. Tool Des. Res. Conf., Swansea; 1980, London, Macmillan, 289-296
5.
MIERNIKM.: Scientific Papers of the Institute of Machine Building Technology No. 41, Monograph No. 9, 99-103; 1989, Wrocklaw, Wroclaw University of Technology (in Polish).
6.
MIERNIKM.: ‘Machinability of metals: determination methods and forecasting’, 45-56; 2000, Wroclaw, Oficyna Wydawnicza Politechniki Wroclawskiej (in Polish).
7.
MIERNIKM.: Eur. J. Mech. Eng., 1992, 37, (1), 3–7.
8.
ALMEIDAS. M. DE, MIERNIKM. and ZEBROWSKIH.: Mater. Sci. Technol, 1988, 4, 366 — 370.
9.
CIESLAKM. and smouncA.: ‘Fuzzy sets — image recognition — catastrophe theory’; 1988, Warszawa, PWN (in Polish).
10.
THOMR.: ‘Mathematical models of morphogenesis’; 1983, New York, Wiley.
11.
POSTONT. and STEWARDI.: ‘Catastrophe theory and its applications’; 1981, London, Pitman Publishing.
12.
KLAMECKIB. E.: J. Eng. Ind (Trans. ASME), 1982, 104, 369–374.
13.
TURKOVICHB. F. VON: Proc. IV. A. M. R C., 1979, 7, 241–247.
14.
KOMANDURIR., SCHROEDERT., HAZRAJ., TURKOVICHB. F. VON and FLOMD. G.: J. Eng. Ind (Trans. ASME), 1982,104,121–131.
