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.

Provided are a cemented carbide having excellent plastic deformation resistance and a cutting tool in which the cemented carbide is used as a substrate. A cemented carbide includes a hard phase containing tungsten carbide particles and a binder phase containing, as a main component, an iron-group element, wherein the formula B/A≤0.05 is satisfied, where A represents the number of the tungsten carbide particles, and B represents the number of tungsten carbide particles whose number of contact points with other tungsten carbide particles is 1 or less. Preferably, the iron-group element includes cobalt, and the cobalt content in the cemented carbide is 8% by mass or more. Preferably, the tungsten carbide particles have an average particle diameter of 3 μm or more.

A cutting insert may include a first surface having a polygonal shape, a second surface, a third surface and a cutting edge. The first surface may include a first corner, a first side, a first inclined surface located along the first side, and a second inclined surface located along the second side. In a plan view of the first surface, a width of the first inclined surface in a direction orthogonal to the first side may become larger as approaching the second side. A width of the second inclined surface in a direction orthogonal to the second side may become larger as approaching the first side.

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 may include a first surface having a polygonal shape, a second surface, a third surface and a cutting edge. The first surface may include a first corner, a first side, a first inclined surface located along the first side, and a second inclined surface located along the second side. In a plan view of the first surface, a width of the first inclined surface in a direction orthogonal to the first side may become larger as approaching the second side. A width of the second inclined surface in a direction orthogonal to the second side may become larger as approaching the first side.

A cutting insert for a tool for machining a workpiece, comprising a first cutting edge and a first cutting insert bore, wherein the cutting insert has an elongate shape and extends along a cutting insert longitudinal direction, wherein the first cutting insert bore extends along a first bore axis, which runs substantially orthogonally to the cutting insert longitudinal direction, wherein the cutting insert has a laterally protruding elevation, which is arranged on a side of the cutting insert that is oriented transversely to the first bore axis, and wherein on the elevation are arranged a first lateral holder contact surface, an axial holder contact surface and a first horizontal holder contact surface for the bearing contact of the cutting insert against a tool holder, wherein the first lateral holder contact surface runs substantially orthogonally to the first bore axis, and wherein the axial holder contact surface and the first horizontal holder contact surface run substantially orthogonally to the first lateral holder contact surface and transversely to each other.

A cutting edge tip of a cubic boron nitride sintered body has improved joint strength to a substrate of a cemented carbide. A cutting edge tip of a cubic boron nitride sintered body has improved crater wear resistance. A tool 10 of the present invention includes a substrate 12 of a cemented carbide and a cutting edge tip 14 of a cubic boron nitride sintered body joined to the substrate 12. The cutting edge tip 14 has a thickness covering an upper surface 12a to a lower surface 12b of the substrate 12. The cubic boron nitride sintered body contains 50 volume % or more and 95 volume % or less of cubic boron nitride and 5 volume % or more and 50 volume % or less of a binder phase. The cubic boron nitride has an average grain size of 1.0 m or more and 6.0 m or less.

A turning method for a CNC lathe involves at least two machining steps, wherein a cutting element is re-arranged between the machining steps such that a nominal rake angle (?.sub.n) is changed. Thereby, the effective tool life may be increased and a high quality of the machined surfaces, and a stable cutting process, may be achieved even with a worn tool. A system and a computer program for performing the method is also provided.

A cutting insert for a tool for machining a workpiece, comprising a first cutting edge and a first cutting insert bore, wherein the cutting insert has an elongate shape and extends along a cutting insert longitudinal direction, wherein the first cutting insert bore extends along a first bore axis, which runs substantially orthogonally to the cutting insert longitudinal direction, wherein the cutting insert has a laterally protruding elevation, which is arranged on a side of the cutting insert that is oriented transversely to the first bore axis, and wherein on the elevation are arranged a first lateral holder contact surface, an axial holder contact surface and a first horizontal holder contact surface for the bearing contact of the cutting insert against a tool holder, wherein the first lateral holder contact surface runs substantially orthogonally to the first bore axis, and wherein the axial holder contact surface and the first horizontal holder contact surface run substantially orthogonally to the first lateral holder contact surface and transversely to each other.

A cutting edge tip of a cubic boron nitride sintered body has improved joint strength to a substrate of a cemented carbide. A cutting edge tip of a cubic boron nitride sintered body has improved crater wear resistance. A tool 10 of the present invention includes a substrate 12 of a cemented carbide and a cutting edge tip 14 of a cubic boron nitride sintered body joined to the substrate 12. The cutting edge tip 14 has a thickness covering an upper surface 12a to a lower surface 12b of the substrate 12. The cubic boron nitride sintered body contains 50 volume % or more and 95 volume % or less of cubic boron nitride and 5 volume % or more and 50 volume % or less of a binder phase. The cubic boron nitride has an average grain size of 1.0 m or more and 6.0 m or less.