The process of indentation of brittle and quasi-brittle materials has been
extensively investigated both from the experimental and the theoretical poi
nt of view. Also, the elastic stress fields induced by sliding bodies are w
ell known and have been used to predict fracture patterns below moving cont
acts. Quite surprisingly, only a few studies have tried to explain the mech
anics of cutting due to an indenter which penetrates inside the material. I
n this paper, an attempt is made to find some general relations for the cut
ting process in quasi-brittle materials, under different hypotheses for the
microscopic failure behaviour, namely a simple frictional mechanism, plast
ic crushing and linear elastic fracture mechanics. These mechanisms interac
t with each other, and provide a particular load-penetration law and a pecu
liar cutting advancement. Some numerical simulations by the lattice model h
ave been also carried out, in order to verify the assumptions. Dimensional
analysis permits to highlight remarkable size-scale effects on the cutting
strength and provides some hints for enhancing the performances of cutting
tools. (C) 2001 Elsevier Science Ltd. All rights reserved.