A cutting tool includes a two-way indexable cutting insert clamped in a transversely oriented insert receiving pocket of an insert holder. The insert holder includes a forwardly located insert mounting portion that includes upper and lower jaws which together define the insert receiving pocket having a pocket front opening. The lower jaw includes a pocket lower clamping surface. The upper jaw includes a pocket upper clamping surface which faces mutually towards the pocket lower clamping surface and a pocket stopper surface facing generally towards the pocket front opening. The pocket stopper surface is closer to the pocket lower clamping surface and further from the pocket front opening, than the pocket upper clamping surface. The pocket stopper surface is further from the pocket rear opening than the pocket lower clamping surface.

A cutting tool includes a two-way indexable cutting insert clamped in a transversely oriented insert receiving pocket of an insert holder. The insert holder includes a forwardly located insert mounting portion that includes upper and lower jaws which together define the insert receiving pocket having a pocket front opening. The lower jaw includes a pocket lower clamping surface. The upper jaw includes a pocket upper clamping surface which faces mutually towards the pocket lower clamping surface and a pocket stopper surface facing generally towards the pocket front opening. The pocket stopper surface is closer to the pocket lower clamping surface and further from the pocket front opening, than the pocket upper clamping surface. The pocket stopper surface is further from the pocket rear opening than the pocket lower clamping surface.

An indexable cutting insert for a cutting tool for material processing machines has a first axis of symmetry, at least one fastening bore passing through the indexable cutting insert parallel or coaxially to this first axis, two groups of main cutting edges, secondary cutting edges and cutting corners having a second axis of symmetry rotationally symmetrically opposite one another. At least the main cutting edges enclose an acute cutting edge angle with a plane oriented orthogonally to the first axis of symmetry. A cutting insert holder holds and fixes an indexable cutting insert. A recess for receiving the indexable cutting insert is on an elongated base body with polygonal cross-section. A support surface for supporting the indexable cutting insert is rotated about the base-body longitudinal axis and tilted about a second axis, a line of intersection between the rotated support surface and a plane perpendicular to the longitudinal axis.

A cutting insert capable of performing groove machining while efficiently fragmenting chip is provided. A cutting insert 10 includes a front cutting edge 111, a pair of side cutting edges 113, a pair of corner cutting edges 112 each connecting the front cutting edge and a corresponding one of the side cutting edges, corner rake surfaces 122 extending from the corner cutting edges 112, and a protrusion part 150 protruding from the corner rake surfaces 122 and provided with a flat boss surface 160 at a leading end. Corner wall surfaces 180 extending from the boss surface 160 toward the corner rake surfaces 122 are formed at the protrusion part 150. At least a part of the corner wall surfaces 180 has a tilt angle of 40? or larger relative to the boss surface 160.

A cutting insert having a first end surface, a second end surface, and a peripheral side surface. The peripheral side surface includes a rake surface, a front flank and a first cutting edge located in an intersecting edge between the rake surface and the front flank. The first end surface includes a central surface and a side flank located closer to the front flank as compared to the central surface. An intersecting edge between the central surface and the peripheral side surface serves as a first edge, and an intersecting edge between the side flank and the peripheral side surface serves as a second edge, and an angle formed by the first cutting edge and the first edge serves as a first angle , and an angle formed by the first cutting edge and the second edge serves as a second angle , wherein is smaller than .

A cutting insert may include an upper surface, a lateral surface, and a cutting edge including a boundary between the upper surface and the lateral surface. The upper surface may include a first rising face that extends upward and a second rising face that is connected to an upper side of the first rising face and extends upward. The first rising face may include a first region that extends along a corner portion and a second region that extends along a side portion. The second rising face may include a third region connected to the first region and a fourth region connected to the second region. An entirety of a boundary between the first region and the third region may be positioned above the cutting edge. A boundary between the second region and the fourth region may include a portion disposed below the cutting edge.