A cutting insert adaptor for an insert pocket can include one or more pairs of opposing insert abutment surfaces and pocket abutment surfaces which converge at an acute angle. The one or more insert abutment surfaces are all rotated in the same direction, relative to their paired pocket abutment surface which in turn rotates a cutting insert abutting the cutting insert adaptor relative to an orientation the cutting insert would have if it only abutted the insert pocket instead of the cutting insert adaptor.

A cutting insert has a plate shape centered on an insert center axis. The cutting insert includes a front surface and a back surface facing an insert axial direction, an outer peripheral surface facing outward in an insert radial direction, and a cutting edge at an intersecting ridge line between the front surface and the outer peripheral surface. The back surface has a flat shape perpendicular to the insert center axis. The outer peripheral surface includes a flank surface coupled. The flank surface is inclined inward in the insert radial direction as extending in the insert axial direction from the front surface side to the back surface side. The front surface includes a rake surface. The rake surface is inclined from a back surface side to a front surface side in the insert axial direction as extending inward in the insert radial direction from the cutting edge.

A cutting insert and a shoulder milling tool are disclosed. The cutting insert includes a surface-wiping secondary cutting edge inclined in relation to a median plane of the cutting insert, such that a distance to the median plane decreases in a direction toward a corner cutting edge. A circumferential surface includes a clearance surface extending along a main cutting edge. The clearance surface along the main cutting edge extends at an acute angle to the median plane, such that the clearance surface forms a negative nominal clearance angle, and wherein the circumferential surface includes first and second abutment surfaces configured for abutment against axial and/or radial support surfaces of the milling tool, the abutment surfaces extending along at least part of the main cutting edge and the surface-wiping secondary cutting edge.

A cutting insert has two opposing end surfaces interconnected by a peripheral side surface, the peripheral side surface having two major side surfaces and two minor side surfaces. Major edges are formed at the intersection of the major side surfaces and the end surfaces. Each end surface has two diagonally opposed raised corners and two diagonally opposed lowered corners with respect to a median plane, each raised corner adjoining one of the major edges at a first major point and each lowered corner adjoining one of the major edges at a third major point. In a major side view, each major edge has an associated first imaginary straight line containing its first and third major points, and an elevated edge portion located on one side of the first imaginary straight line. The cutting insert is removably secured in a rotary cutting tool.

A single-sided three-way indexable milling insert for 90° shoulder milling operations, includes a positive basic shape, a rake surface, a peripheral surface including side abutment surfaces, a base bearing surface and a screw hole connecting the rake and base bearing surfaces. The insert has three main cutting edges which lie along an imaginary equilateral triangle. A material volume V.sub.F of the cutting insert and a void volume V.sub.S of the insert's screw hole fulfill the condition V.sub.S/V.sub.F≥0.30.

A cutting insert includes a first end surface and a second end surface, in which a first peripheral side surface includes a first rake surface adjacent to a first main cutting edge and a first concave surface connected to the second end surface and formed to be recessed from the first rake surface toward a central axis of a through hole, and the first concave surface has a first restraint surface provided at a position where a distance between the first restraint surface and a second main cutting edge is smaller than a distance between the central axis of the through hole and the second main cutting edge, when viewed from a direction parallel to the central axis of the through hole.

A cutting insert includes: an upper face including a virtual reference surface and an upper inclined surface extending to be inclined upward from the virtual reference surface; a lower face disposed below the upper face and including a lower inclined surface extending to be inclined with respect to the virtual reference surface; and a plurality of side faces connecting the upper face and the lower face. An insert bore is formed to penetrate through the upper face and the lower face along a central axis perpendicular to the virtual reference surface. A major cutting edge is formed at an edge at which the upper inclined surface meets any one side face among the plurality of side faces. A first angle between the side face, on which the major cutting edge is formed, and the upper inclined surface is greater than a second angle between the central axis and the lower inclined surface.

A single-sided four-way indexable cutting insert includes a positive basic shape, a rake surface, a peripheral surface including four side abutment surfaces, a base bearing surface and a screw hole connecting the rake and base bearing surfaces. The insert has an imaginary square frustum which defines a square base containing the cutting insert's base bearing surface, and further defines four isosceles trapezoid side surfaces respectively containing the cutting insert's four side abutment surfaces. A material volume V.sub.F of the cutting insert and a void volume V.sub.S of the insert fulfill the condition V.sub.S/V.sub.F0.25.

An insert configured to be assembled to a tool for cutting a workpiece, includes: an upper surface including first to fourth upper corner portions formed in respective quadrants divided by a first imaginary vertical axis and a first imaginary horizontal axis that are perpendicular to each other; and a lower surface formed below the upper surface in a height direction and including first to fourth lower corner portions formed in respective quadrants divided by a second imaginary vertical axis and a second imaginary horizontal axis that are perpendicular to each other. A lower ridge portion protruding downward in the height direction is formed on the lower surface, and extends across the second and fourth lower corner portions, which are symmetrical with respect to a center of the lower surface

An insert is provided, ensuring to vary the cutout angle of the cutting edge without replacing the body, and to prevent the change in the cutout angle of the cutting edge in the cutting process. The insert includes a constraining part, a through hole, and a blade. The blade includes a cutting edge for the cutting process. An outer surface of the constraining part around the central axis includes a pair of first constraining surfaces, and a pair of second constraining surfaces. The cutting edge in the state where the pair of first constraining surfaces are fixed becomes non-parallel to the cutting edge in the state where the constraining part is rotated around the central axis from the fixed state of the pair of first constraining surfaces to place the pair of second constraining surfaces on the same surface on which the pair of first constraining surfaces have been fixed.