A cutting insert for a rotary cutting tool has a second surface that includes a second seating surface having a shape of a flat surface. The first cutting edge has a first main cutting edge portion and a first sub cutting edge portion. The second cutting edge has a second main cutting edge portion and a second sub cutting edge portion. When viewed in a direction from the first surface toward the second surface, at least a portion of the second sub cutting edge portion is located outside the first main cutting edge portion, and at least a portion of the first sub cutting edge portion is located outside the second main cutting edge portion. When viewed in the direction from the first surface toward the second surface, each of the first sub cutting edge portion and the second sub cutting edge portion has a shape of a curved line.

A cutting insert is mountable on a body. The cutting insert includes: a top surface; a bottom surface opposite to the top surface; a side surface contiguous to the top surface and the bottom surface; and a cutting edge formed at a ridgeline between the top surface and the side surface. The side surface has a first surface disposed adjacent to the cutting edge and a second surface contiguous to the first surface. When viewed in a cross sectional view parallel to the bottom surface, the second surface has a first position and a second position that are brought into abutment with the body when mounted on the body. Between the first position and the second position, an imaginary straight line extending through the first position and the second position is separated from the second surface.

A ridgeline between the top surface and the side surface includes: a nose cutting edge portion having a curved line shape, the nose cutting edge portion having a first end and a second end opposite to the first end; a major cutting edge portion contiguous to the first end; and a wiper cutting edge portion contiguous to the second end. The top surface includes: a first rake face contiguous to the wiper cutting edge portion; a second rake face contiguous to the major cutting edge portion; and a third rake face contiguous to the nose cutting edge portion and contiguous to each of the first rake face and the second rake face. A boundary line between the second rake face and the third rake face is separated from the first end and is contiguous to the major cutting edge portion.

The first seating surface is contiguous to each of the front end surface and the outer circumferential surface. The second seating surface is contiguous to the front end surface. The cutting tool body is provided with a recess contiguous to each of the first seating surface, the second seating surface, and the front end surface. When the front end surface is viewed in a direction from the front end surface toward the rear end surface, a length of the recess in a direction perpendicular to a straight line parallel to the central axis and extending along the first seating surface is equal to or longer than three times as long as a length of the recess in a direction perpendicular to the first seating surface and passing through a contact point of the second seating surface, the recess, and the front end surface.

A cutting insert 2 comprises a peripheral side surface 30 which is parallel to a central axis O of a first end surface 10 and a second end surface 20. The peripheral side surface 30 comprises a first side surface 31 facing a first major cutting edge 11, a second side surface 32 facing a first wiper edge 12, and a third side surface 33 facing a first inner edge 13. A flank 311 of the first major cutting edge 11 and a flank 321 of the first wiper edge 12 are inclined such that the flank 311 and 321 approaches the central axis O as it heads toward the first end surface 10. The flank 311 of the first major cutting edge 11 is located on a different plane from the first side surface 31. The flank 321 of the first wiper edge 12 is located on a different plane from the second side surface 32. Meanwhile, a flank of the first inner edge 13 is located on the same plane as the third side surface 33.

A cutting insert includes first and second polygonal surfaces and a plurality of side surfaces. A corner edge that has a corner rake surface on the first polygonal surface is formed at a first corner portion, and a main cutting edge is formed from the corner edge to a second corner portion. The main cutting edge includes, at least on a corner edge side, a rake angle gradual increase region where a rake angle of a main rake surface gradually increases to a positive angle side as going from a first end portion of the corner edge toward a second corner portion side.

A cutting insert for a shoulder milling tool has a trigonal shape and includes a first surface, a second surface, and a circumferential surface extending between the first surface and the second surface. The circumferential surface includes a countersunk circumferential waist portion. The circumferential surface has a first and a second clearance surface extending along a first and a second main cutting edge. Each of the first and second clearance surfaces forma a negative nominal clearance angle. Each of the first and second main cutting edges is arranged inside the countersunk circumferential waist portion, as seen in the view towards the first and second surfaces, respectively.

A rotary tool may include a holder and a cutting insert. The cutting insert may include an upper surface including a first upper side, a lower surface including a first lower side, and a lateral surface. The lateral surface may include a first lateral surface, a second lateral surface, and a third lateral surface. The first upper side may include a first end. The first end may be located closer to the third lateral surface than the second lateral surface. The first lower side may include a second end. The second end may be located closer to the second lateral surface than the third lateral surface. In a front view of the upper surface, the first lateral surface may include a tip region surrounded by the first end and the second end, and the tip region may be recessed toward the rear end.

Provided is a cutting insert, which has excellent chip discharge performance even when formed with multiple corners superior in economic efficiency. A first ridgeline at which an upper surface and a circumferential side surface intersect each other includes a plurality of corners disposed at equal intervals and a plurality of main cutting edges disposed one by one between the corners adjacent to each other. A distance between the corners adjacent to each other is equal to or less than 60% of the diameter of a circle inscribed within the ridgeline. The main cutting edges includes a first cutting edge that is linearly formed and a second cutting edge that is linearly formed. The length of the second cutting edge is equal to or less than half the length of the first cutting edge and is positioned closer to a center side of the cutting insert than an extension line of the first cutting edge is. The circumferential side surface includes a first side surface facing the first cutting edge and a second side surface facing the second cutting edge. A clearance angle of the first side surface is smaller than that of the second side surface.

A single-sided three-way indexable milling insert for feed 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 a cutting edge including exactly three main cutting sub-edges and three secondary cutting sub-edges. 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.F≥0.30.