Elastic singularity analyses are performed on the stresses at the tip of a cutting tool with an arbitrary rake angle in a semi-infinite plate of brittle material. On the basis of the formulations developed for the stress analysis at and around the tip of an angled defect, the stresses local to the tip of the cutting tool are derived as functions of the rake angle, and discussed are the effects of alteration in rake angle on the changes in stress distributions, which will determine the nature of surface and subsurface damages of the material generated during machining.
elastic stress singularity
strength of singularity
cutting tool
rake angle
conformal mapping
Schwartz-Christoffel transformation