This paper presents experimental evidence for the existence of non-Euclidean contact geometry at the tool-chip interface in the machining of aluminium alloy, which challenges conventional assumptions. The geometry of contact at the tool rake face is modelled using fractals and a dimension is computed for its description. The variation in the fractal dimension with the cutting speed is explored.
ZorevN. N.Interrelationship between shear processes occurring along tool face and on shear plane in metal cutting. In Proceedings of the International Production Engineering Research Conference, 1963, pp. 42–49.
2.
WrightP. K.HorneJ. G.TaborD.Boundary conditions at the chip-tool interface in machining: Comparison between seizure and sliding friction, Wear, 1979, 54, 371–390.
3.
FalconerK.Fractal Geometry, 1990 (John Wiley, New York).
4.
MandelbrotB.Fractal Geometry of Nature, 1983, pp. 1–30 (Freeman, San Francisco, California).
5.
KayeB. H.Randomwalk Through Fractal Dimensions, 1989, pp. 1–80 (VCH, New York).
6.
MajumdarA.BhushanB.Role of fractal geometry in roughness characterization and contact mechanics of surfaces. Trans. ASME, J. Tribology, 1990, 112, 205–216.
7.
MajumdarA.BhushanB.Fractal model of elastic-plastic contact between rough surfaces. Trans. ASME, J. Tribology, 1991, 113, 1–11.
