Method and apparatus for machining workpieces having interruptions

This invention is a method and apparatus for cutting a workpiece which may have interruptions, with a cutting insert having a cutting edge, where the cutting insert is held in a tool holder and is optionally supported by a shim. Coolant, which may contain liquid nitrogen, is introduced through a passageway to a cooling passage located near the cutting edge. The cooling passage may be located either under, behind, or under and behind the cutting edge. Coolant impacts the wall surfaces of the cooling passage near the cutting edge where it is partly evaporated thereby cooling the cutting insert.