Patent ID: 7896728

Claim:
A process for point abrasive machining of a workpiece comprising the steps of: providing a tool having: a shaft having a central longitudinal axis; a tip protuberance grinding surface coated with an abrasive, the tool having a lateral surface having, over a radial span of at least 20% of the radius of the tip protuberance, a continuously concave longitudinal profile diverging tipward; orienting said tool relative to a surface of said workpiece to be machined so that there is contact between said surface to be machined and said grinding surface; and forming a part by removing material at said contact by: rotating said tool about the central longitudinal axis; translating the tool relative to the workpiece and off-parallel to the longitudinal axis while machining the workpiece; and cooling the tool by guiding a cooling liquid flow to the grinding surface, the cooling flow being guided along a surface of the shaft and radially diverging to the grinding surface.