A tool holder includes a tool shank and a tool head connected to the tool shank. The tool head has a rear surface. An insert seat or a blade pocket is partially formed on both the tool head and the tool shank, and extends rearwardly of the tool head's rear surface. Adjacent to at least a portion of a shank side surface there is a reinforcement portion connecting the shank side surface and the tool head.

Chip discharge during high-feed machining and low-feed machining particularly in a high-depth-of-cut state or the like is improved so as to provide adaptability to a wide range of cutting conditions during low depth and high depth cutting and during low-feed and high-feed machining and allow so-called freedom of feed during cutting to be improved. A cutting insert includes a cutting edge body and a substrate to which the cutting edge body is joined. The cutting edge body has a prismatic shape having a longitudinal direction and a lateral direction perpendicular to the longitudinal direction and includes a cutting edge formed on an intersecting edge between a peripheral side surface and an upper surface of the cutting edge body having the prismatic shape and a recessed part formed at a position on the upper surface of the cutting edge body which is more distant from the intersecting edge than from the cutting edge. The substrate has a projected part upwardly projecting from the upper surface of the cutting edge body.

Chip discharge during high-feed machining and low-feed machining particularly in a high-depth-of-cut state or the like is improved so as to allow so-called freedom of feed during cutting to be improved. A cutting edge body of a cutting insert includes a front cutting edge formed on one end side in a longitudinal direction, the front cutting edge being a cutting edge formed on an intersecting edge between a peripheral side surface and an upper surface of the cutting edge body having a prismatic shape, a side cutting edge formed on one end side in a lateral direction, a recessed part provided in the upper surface of the cutting edge body to be subsequent to the side cutting edge in the lateral direction, and a wall part having a wavy wall surface formed in a portion of the recessed part and a discrete wall surface formed at a position between the wavy wall surface and the side cutting edge and including a plurality of surfaces which are discrete along the longitudinal direction.

A cutting insert according to an aspect includes a base portion and a cutting portion. The cutting portion includes an upper surface, a side surface, a ridge line including a first ridge line and a second ridge line, and an intersection point. The upper surface includes a top surface region and a rising surface region located between the top surface and the ridge line, and having a shape protruding toward the intersection point. In a top view, a first distance from the first ridge line to the rising surface increases as close to the intersection point, and a second distance from the second ridge line to the rising surface increases as close to the intersection point.

A parting-off insert for relatively high feed includes a rake surface including a reinforced front sub-edge extending between two convex corner sub-edges. A cutting width W.sub.C is defined between distal points of the first and second convex corner sub-edges. The cutting width W.sub.C fulfills the condition: W.sub.C≤6 mm. The front sub-edge including a minimum front sub-edge thickness T.sub.F fulfilling the condition: T.sub.F>0.20 mm.

A cutting insert for a tool for machining a workpiece. The cutting insert comprises a rake face with a chip shaping geometry which is particularly suitable for machining titanium and titanium alloys. The chip shaping geometry is designed in such a way that the chip lifted from the workpiece is deformed comparatively strongly about its longitudinal axis. The chip shaping geometry is arranged at least in a rear area of the rake face, which is laterally bounded by a first concavely curved portion and a second concavely curved portion of the minor cutting edges of the cutting insert. The chip shaping geometry projects upwardly beyond a cutting plane in which the main cutting edge of the cutting insert and two rectilinear portions of the two minor cutting edges are arranged and comprises at least two elevations so that the rake face in the rear area in a further cross-section parallel to the main cutting edge comprises two high points and an intermediate second low point which has an equal third distance from the first concavely curved portion and the second concavely curved portion. A rake angle along the main cutting edge varies such that the rake angle γ1 at a center of the main cutting edge, which has an equal second distance from a first end and a second end of the main cutting edge, is greater than the rake angle in the area of the first and/or second ends.

A cutting insert may include a base and a cutting part. The cutting part may include an upper surface, a first cutting edge and a second cutting edge. The first cutting edge may be located on a first ridgeline. The second cutting edge may be located on a second ridgeline. The upper surface may include a first inclined surface, protrusions and a first upheaved part. The first inclined surface may be located along the first ridgeline. The protrusions may be located side by side in a direction along the first ridgeline on the first inclined surface. The first upheaved part may be located at a side further away from the first ridgeline than the pair of protrusions. The second cutting edge may be inclined downward. An upper end of the first upheaved part may be located above the second cutting edge.

A cutting insert has a cutting portion corner formed at the intersection of a rake surface, a forward cutting portion surface and a relief surface. A cutting edge is formed at an intersection of the rake surface and the relief surface with a land that is located on the rake surface and that extends along, and negatively away from, the cutting edge. A chip-control arrangement is located at the rake surface and includes an elongated projection and plurality of spaced apart elongated protuberances that extend from the projection to the cutting edge, so that the land has a plurality of spaced apart bulging land portions. A non-rotary cutting tool has an insert holder having an insert pocket and the cutting insert releasably retained therein.

The upper surface includes a first breaker projection face extending along the first side surface, a second breaker projection face extending along the second side surface, and a rake face located between the first breaker projection face and the second breaker projection face in top view. In a direction from the rear surface to the front surface, a first front end of the first breaker projection face is located ahead of a second front end of the second breaker projection face. A cutting edge has a first cutting edge portion and a second cutting edge portion. In a direction perpendicular to the reference surface, the second breaker projection face is lower than the first breaker projection face, and a boundary between the first cutting edge portion and the second cutting edge portion is lower than the second breaker projection face.

A parting/grooving insert and a method of grinding a parting/grooving insert including rotating a plane grinding surface having a normal vector parallel to the axis of rotation and a tangential direction of rotation; providing a parting/grooving insert including a rake surface, a main clearance surface, and a main cutting edge formed between the rake and main clearance surfaces; orienting/positioning the insert relative to the grinding surface, such that the main clearance surface is parallel to the grinding surface, the normal vector of the main cutting edge being in the plane of the main clearance surface and with a vector component in the direction of rotation forming an angle to the tangential direction of rotation at the insert of at least 20 degrees from parallel orientation; and grinding the main clearance surface to provide grinding marks having an angle to the normal vector of the main cutting edge corresponding to the angle to the tangential direction of rotation.