A cutting insert according to an embodiment of the present invention has a cutting edge having a first corner cutting edge, a flat cutting edge, a connecting edge, a major cutting edge, and a second corner cutting edge in the order named. The major cutting edge has an upwardly protruding curvilinear portion, a first straight line portion extending from the curvilinear portion toward the connecting edge, and a second straight line portion extending from the curvilinear portion toward the second corner cutting edge. The flat cutting edge and the major cutting edge have a straight line shape, and the connecting edge has an outwardly protruding curvilinear shape in a top view. The flat cutting edge, the connecting edge, and the first straight line portion are located on a straight line in a side view.

An indexable cutting insert has a first corner edge forming a front tip of a cutting edge portion configured to project furthest in the direction of an axis of rotation of an end mill tool receiving the insert. A major cutting edge is descending to come closer to the lower surface of the insert along its extension away from the first corner edge. The minor cutting edge extends from the first corner edge while descending from a point of the cutting edge portion most distant to the lower surface all the way to an inner corner of the insert and has a length of 80%-95% of the length of the major cutting edge including a second corner edge in a side elevation view of the cutting insert.

A substantially parallelogramatic insert having a downward inclined main cutting edge and an auxiliary cutting edge in part of a long-side ridgeline and a short-side ridgeline adjacent to a pair of corner cutting edges of an upper surface; the main cutting edge being constituted by first to third straight cutting edges; the first to third straight cutting edges being connected in a bent-line shape with inward obtuse crossing angles when viewed from above, such that the second straight cutting edge is positioned outermost; and cutting edge angles .sub.1, .sub.2, .sub.3 between the rake faces and flanks of the first to third straight cutting edges meeting the relation of .sub.1>.sub.2>.sub.3.

A cutting insert (1) has a first end surface (2); a second end surface (3) opposing the first end surface; and a peripheral side surface (4) connecting the first and second end surfaces. A cutting edge (6) extends along an intersecting edge between the first end surface and the peripheral side surface. A land (20) is formed in the first end surface and extends along the cutting edge. At least one groove (18) is formed in the peripheral side surface, each groove forming an opening in the first end surface and separating the cutting edge into a plurality of portions. In a plan view of the first end surface, a portion of the land adjacent to an end area (S) of the groove, has a greater width than a width of a portion of the land which is distant from the groove.

A polygonal cutting has opposing first and second end surfaces connected by a side surface, and a plurality of cutting edges formed between the end surfaces and the side surface. Each cutting edge is formed at corner and includes a corner cutting edge and a major cutting edge connected to the corner cutting edge. A rake surface formed along the cutting edge on first the end surface is inclined toward the second end surface. In a side view of the cutting insert, the major cutting edge includes an inclined part which is inclined so as to approach the second end surface from the corner cutting edge. A portion of the rake surface along the inclined part is formed such that an angle of inclination toward the second end surface increases toward the corner in a direction along the intersecting edge between the first end surface and the side surface.

A cutting insert according to an embodiment has a polygonal shaped upper surface, a lower surface, a side surface, and a cutting edge. The cutting edge has an arc-shaped first corner edge, an arc-shaped second corner edge, and a wiper edge located between the first corner edge and the second corner edge. The wiper edge has an arc-shaped first wiper edge and an arc-shaped second wiper edge located closer to the second corner edge than the first wiper edge. R0<R1<R2 is satisfied wherein R1 is a radius of curvature of the first wiper edge, R2 is a radius of curvature of the second wiper edge, and R0 is a radius of curvature of each of the corner edges in a top view.

In a cutting insert of an embodiment of the present invention, an upper surface includes a first corner, and a second corner and a third corner respectively adjacent to both sides of the first corner. The upper surface sequentially includes a rake surface located along an upper cutting edge and inclined toward a lower surface as going inward from the upper cutting edge at a rake angle on a basis of a perpendicular plane perpendicular to a central axis extending between the upper and lower surfaces, and a connection surface located more inward than the rake surface and inclined toward the lower surface as going inward at a connection angle on the basis of the perpendicular plane. An intersecting part of the rake surface and the connection surface includes a highest position in a portion of the intersecting part corresponding to the minor rake surface. A cutting tool with the cutting insert, and a method of producing a machined product by using the cutting tool are also provided.

A cutting insert has top and bottom surfaces opposing each other and a side surface connecting them. A part of an intersecting ridge between the top and side surfaces functions as a cutting edge. On the side surface, a side surface portion adjacent to the intersecting ridge portion opposing the cutting edge intersects the top surface at an acute angle. At least on a part of a bottom surface, an inclined surface gradually approaching the top surface with increasing distance from a side surface portion on a side opposite to a cutting edge is formed. This allows a part of the cutting resistance to act on the side surface portion. As a result, friction resistance between the side surface portion and the side surface of an insert seat becomes larger, thereby suppressing a shifting of the cutting insert when cutting.

A front and back chamfering rotary milling cutter includes a cutter body including an insert pocket and a star-shaped indexable cutting insert releasably retained in the pocket. The cutting insert has star-shaped upper and lower surfaces connected by a peripheral surface intersecting each of the upper and lower surfaces. The cutting insert includes a plurality of circumferentially alternating inner and outer corner portions. A cutting portion is defined by each outer corner portion together with an adjacent first inner corner portion rotationally forward thereof and an adjacent second inner corner portion located rotationally rearward thereof. Each cutting portion includes a front chamfering cutting edge extending from the outer corner portion to the first inner corner portion and a back chamfering cutting edge extending from the outer corner portion to the second inner corner portion.

A cutting insert includes: a polygonal shaped upper surface; a lower surface; a side surface connected to each of the upper and lower surfaces; and an upper cutting edge located at the intersection of the upper surface and the side surface. The upper surface alternately includes three major corners and three minor corners. The upper cutting edge includes: a corner cutting edge; a minor cutting edge inclined toward the lower surface as separating from the corner cutting edge at a first inclination angle; and a major cutting edge inclined toward the lower surface as separating from the minor cutting edge at a second inclination angle. The corner cutting edge, the minor cutting edge and the major cutting edge are located sequentially from a first major corner to each of first and second minor corners, both of which are adjacent to the first major corner.