Cutting insert, cutting tool, and method of manufacturing machined product
A cutting insert includes an upper surface, a lower surface, a side surface, and a cutting edge. The upper surface includes a first side part, a second side part, and a corner part located between the first side part and the second side part. The side surface is located between the upper surface and the lower surface. The cutting edge is located at an intersection of the upper surface and the side surface. The cutting edge includes a first cutting edge located at the corner part, and a second cutting edge adjacent to the first cutting edge and located at the first side part. A height of the first cutting edge relative to the lower surface is constant. The second cutting edge is inclined toward the lower surface as going toward the corner part.
1. A cutting insert, comprising:
an upper surface comprising:
a first side part,
a second side part, and
a corner part located between the first side part and the second side part;
a lower surface located opposite to the upper surface;
a side surface located between the upper surface and the lower surface; and
an upper cutting edge located at an intersection of the upper surface and the side surface, wherein
the upper cutting edge comprises:
a first cutting edge located at the corner part, and
a second cutting edge located at the first side part;
a height of the first cutting edge relative to the lower surface is constant;
the second cutting edge is inclined toward the lower surface as going toward the corner part;
the upper surface comprises:
a first surface located along the first cutting edge and inclined toward the lower surface as going farther from the first cutting edge, and
a second surface locating along the second cutting edge and inclined toward the lower surface as going farther from the second cutting edge;
the first surface comprises a first surface portion which is located along the first cutting edge and has an upwardly protruding curved surface shape;
the second surface comprises a second surface portion which is located along the second cutting edge and has an upwardly protruding curved surface shape;
a radius of curvature of the first surface portion is a first radius;
a radius of curvature of the second surface portion is a second radius; and
the second radius is equal to or greater than the first radius.
2. The cutting insert according to claim 1 , wherein
the first surface portion comprises:
a first portion of the first surface, and
a second portion of the first surface that is located closer to the second cutting edge than the first portion of the first surface; and
the first radius in the second portion of the first surface is greater than the first radius in the first portion of the first surface.
3. The cutting insert according to claim 2 , wherein
the first radius of the first surface portion increases as going farther from a bisector L of the corner part.
4. The cutting insert according to claim 1 , wherein
the first surface further comprises a first flat surface portion located more inward than the first surface portion;
the second surface further comprises a second flat surface portion located more inward than the second surface portion;
an inclination angle of the first flat surface portion relative to the lower surface is a first angle;
an inclination angle of the second flat surface portion relative to the lower surface is a second angle; and
the first angle is greater than the second angle.
5. The cutting insert according to claim 4 , wherein
the first flat surface portion comprises a first region and a second region that is located closer to the second cutting edge than the first region, and
the first angle in the second region is smaller than the first angle in the first region.
6. The cutting insert according to claim 5 , wherein
the first angle of the first flat surface portion decreases as going farther from a bisector L of the corner part.
7. The cutting insert according to claim 5 , wherein
the first region comprises a central portion located on a bisector L of the corner part, and
the central portion is in connection with the first cutting edge.
8. The cutting insert according to claim 4 , wherein
the second cutting edge comprises:
a third cutting edge adjacent to the first cutting edge, and
a fourth cutting edge adjacent to the third cutting edge;
the second surface further comprises:
a third surface located along the third cutting edge, and
a fourth surface located along the fourth cutting edge;
a radius of curvature of the second surface portion of the third surface is a third radius;
a radius of curvature of the second surface portion of the fourth surface is a fourth radius;
the third radius is constant;
an inclination angle of the second flat surface portion of the third surface relative to the lower surface is a third angle;
an inclination angle of the second flat surface portion of the fourth surface relative to the lower surface is a fourth angle; and
the third angle decreases as going farther from the corner part.
9. The cutting insert according to claim 8 , wherein
the fourth radius increases as going farther from the corner part, and
the fourth angle is constant.
10. The cutting insert according to claim 8 , wherein
the intersection comprises a first intersection part which is adjacent to the fourth cutting edge,
the upper surface further comprises:
a first portion of the upper surface located at a central part of the upper surface, and
a second portion of the upper surface extending from the first intersection part toward the central part;
a height of the first portion of the upper surface relative to the lower surface is constant; and
a height of the second portion of the upper surface relative to the lower surface is constant and equal to the height of the first portion of the upper surface.
11. The cutting insert according to claim 10 , wherein
the upper surface further comprises a third portion of the upper surface having a flat shape and located between the fourth cutting edge and the fourth surface;
the third portion of the upper surface is in connection with the second portion of the upper surface; and
a length of the third portion of the upper surface in a direction vertical to the second cutting edge increases as approaching the second portion of the upper surface in a top view.
12. A cutting tool, comprising:
the cutting insert according to claim 1 ; and
a holder configured to attach the cutting insert to the holder.
13. A method of manufacturing a machined product, comprising:
rotating a workpiece;
bringing the cutting tool according to claim 12 into contact with the workpiece being rotated; and
moving the cutting tool away from the workpiece.
14. The cutting insert according to claim 1 , wherein
the second cutting edge is adjacent to the first cutting edge.