Based on a theoretical model and the Principle of Minimum Energy [1, 2, 3] the bifurcation and catastrophes in a non-free cutting process are theoretically predicted and experimentally verified. The phenomena lead to the complexity of a cutting process with very strong non-linearity and may be the source of the difficulties in its control.

1.
Shi
Han-min
, and
Wang
Jane-lin
,
1994
, “
A Model For Non-free-Cutting
,”
Int. J. Mach. Tools Manufact.
, Vol.
35
, No.
11
, pp.
1507
1522
.
2.
Wang, Jane-lin, and Shi, Han-min, 1994, “The Interference of Chip Ejection Under Non-free Cutting,” The Winter Annual Meeting of ASME, Nov. 6–11, Hyatt Regency, Chicago, Illinois, USA.
3.
Wang, Jane-lin, 1994, “Development of New Drilling Force Model for Improving Drill Point Geometry,” Ph.D. Thesis, The University of Michigan.
4.
Merchant
M. E.
,
1945
, “
Mechanics of the Metal Cutting Process, I. Orthogonal Cutting and a Type 2 Chip
,”
J. Appl. Phys.
, Vol.
16
, p.
267
267
.
5.
Shi
Hanmin
,
1965
, “
On Chip Ejection, Curl and Breakage
,”
J. Huazhong Institute of Technology
, Vol.
5
, No.
7(62)
, pp.
66
106
.
6.
Thom, Rene, 1983, Mathematical Models of Morphogenesis, Ellis Horwood Limited.
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