Cutting insert and cutting tool comprising a cutting insert

Abstract

Cutting inserts and cutting tools including cutting inserts are disclosed. A cutting tool includes an insert holder and a cutting insert. The insert holder includes an insert holder pocket having a pocket wall including a first anti-rotation engagement surface and a second anti-rotation engagement surface. The cutting insert is mounted in the insert holder pocket. The cutting insert includes an upper surface having a plurality of circular sinusoidal cutting edges, a lower surface opposite the upper surface, and an outer side wall between the upper surface and the lower surface. The first anti-rotation engagement surface and the second anti-rotation engagement surface of the pocket wall of the insert holder engage the outer side wall of the cutting insert to resist rotation of the cutting insert.

Description

Technical Field

[0001] This manual relates to cutting inserts and cutting tools that include cutting inserts. Background Technology

[0002] Cutting inserts used in cutting tools such as milling cutters are typically mounted in recesses spaced around the periphery of the tool body. New materials are becoming increasingly harder and tougher, thus posing challenges to cutting inserts.

[0003] Therefore, there is a need for new cutting systems with new cutting inserts, which include cutting inserts with improved performance when cutting difficult-to-cut materials. Summary of the Invention

[0004] In one embodiment, a cutting insert includes: an upper surface having a plurality of circular sinusoidal cutting edges; a lower surface opposite the upper surface having a plurality of polygonal cutting edges corresponding to the plurality of circular sinusoidal cutting edges; and an outer wall between the upper and lower surfaces.

[0005] On the one hand, the outer wall provides positive cutting clearance below multiple circular sinusoidal cutting edges.

[0006] On the other hand, the outer wall has multiple convex side surfaces between multiple circular sinusoidal cutting edges and multiple polygonal cutting edges.

[0007] On the other hand, multiple circular sinusoidal cutting edges extend around the entire perimeter of the upper surface.

[0008] On the other hand, multiple circular sinusoidal cutting edges extend only around a portion of the entire periphery of the upper surface.

[0009] On the other hand, the upper surface has multiple circular sinusoidal cutting edges and multiple circular cutting edges.

[0010] In another embodiment, a cutting tool includes a tool holder comprising: a tool holder recess having a groove wall including a first anti-rotation engagement surface and a second anti-rotation engagement surface; and a cutting insert mounted in the tool holder recess. The cutting insert includes: an upper surface having a plurality of circular sinusoidal cutting edges; a lower surface opposite the upper surface; and an outer sidewall between the upper and lower surfaces. The first and second anti-rotation engagement surfaces of the tool holder recess engage the outer sidewall of the cutting insert to resist rotation of the cutting insert.

[0011] On one hand, the lower surface of the cutting insert has multiple polygonal cutting edges corresponding to multiple circular sinusoidal cutting edges.

[0012] On the other hand, the outer wall has multiple convex side surfaces below multiple circular sinusoidal cutting edges.

[0013] On the other hand, the outer wall provides positive cutting clearance below multiple circular sinusoidal cutting edges.

[0014] On the other hand, multiple circular sinusoidal cutting edges extend around the entire perimeter of the upper surface.

[0015] On the other hand, multiple circular sinusoidal cutting edges extend only around a portion of the entire periphery of the upper surface.

[0016] On the other hand, the upper surface has multiple circular sinusoidal cutting edges and multiple circular cutting edges.

[0017] On the other hand, the first anti-rotation joint surface is in the form of a truncated convex anti-rotation joint surface.

[0018] On the other hand, the first anti-rotation joint surface is in the form of a concave anti-rotation joint surface.

[0019] On the other hand, the second anti-rotation joint surface is in the form of a vertically flat surface.

[0020] On the other hand, the second anti-rotation joint surface is in the form of a truncated convex anti-rotation joint surface.

[0021] On the other hand, the second anti-rotation joint surface is in the form of a concave anti-rotation joint surface.

[0022] In another embodiment, a cutting method includes: mounting a cutting insert on a tool holder, the cutting insert having a circular sinusoidal cutting edge and an outer sidewall below the circular sinusoidal cutting edge; and positioning an anti-rotation engagement surface in contact with the outer sidewall of the cutting insert to resist rotation of the cutting insert.

[0023] Other embodiments of the disclosed cutting insert cutting tool will become apparent from the following detailed description, drawings and appended claims. Attached Figure Description

[0024] Figure 1 This is a perspective view of a cutting tool according to a first embodiment of this specification, wherein the cutting tool includes a plurality of cutting blades.

[0025] Figure 2 yes Figure 1 A perspective view of the cutting blade of a cutting tool.

[0026] Figure 3 yes Figure 2 A top view of the cutting blade.

[0027] Figure 4 yes Figure 2 A bottom view of the cutting blade.

[0028] Figure 5 This is a schematic diagram illustrating the effect of angularly offsetting multiple cutting blades according to the first embodiment of this specification.

[0029] Figure 6 This is a perspective view of a variation of the cutting tool according to the first embodiment of this specification.

[0030] Figure 7 This is a perspective view of a cutting tool according to a second embodiment of this specification, wherein the cutting tool includes a plurality of cutting blades.

[0031] Figure 8 yes Figure 7 A perspective view of the cutting blade of a cutting tool.

[0032] Figure 9 yes Figure 8 A top view of the cutting blade.

[0033] Figure 10 yes Figure 8 A bottom view of the cutting blade.

[0034] Figure 11 This is a schematic diagram illustrating the effect of angularly offsetting multiple cutting blades according to a second embodiment of this specification.

[0035] Figure 12 This is a perspective view of a variation of the cutting tool according to the second embodiment of this specification. Detailed Implementation

[0036] Figures 1 to 6 A cutting tool according to a first embodiment of this specification is provided, wherein the cutting tool includes a tool holder and a plurality of cutting blades having a plurality of circular sinusoidal cutting blades extending around a portion of its entire periphery. Figures 7 to 11 A cutting tool according to a second embodiment of this specification is provided, wherein the cutting tool includes a tool holder and a plurality of cutting blades having a plurality of circular sinusoidal cutting blades extending around its entire periphery.

[0037] Figure 1 and 7 This is a perspective view of an exemplary cutting tool 10 of this specification. The cutting tool 10 includes a tool holder 100 and a cutting insert 200. The cutting tool 10 may include one or more additional cutting inserts 201, 202, 203, 204, 205, 206, which may be the same as the cutting insert 200.

[0038] refer to Figure 1 and 7The tool holder 100 shown is exemplary. It should be understood that the tool holder 100 of this specification may include any type of tool holder 100 capable of holding the cutting blade 200 of this specification. The tool holder material and shape may be any material and shape that is not inconsistent with the objectives of this specification.

[0039] refer to Figure 1 and 7 The tool holder 100 includes a tool holder body 102. As shown, the tool holder body 102 has the form of a tool holder body for a milling cutter, but may have the shape of a tool holder body for any other cutting tool capable of holding the cutting insert 200 of this specification. The tool holder body 102 may, for example, include a rear shank 104 and a front shank 106.

[0040] refer to Figure 1 and 7 The tool holder body 102 includes a tool holder recess 110. The tool holder recess 110 is configured to retain the cutting insert 200 therein. The tool holder body 102 may further include one or more additional tool holder recesses 130, 140, 150, 160, 170, 180 for retaining one or more additional cutting inserts 201, 202, 203, 204, 205, 206.

[0041] Figures 2 to 4 An exemplary cutting blade according to a first embodiment is shown, wherein the cutting blade has a plurality of circular sinusoidal cutting blades extending around a portion of its entire periphery. Figures 8 to 10 An exemplary cutting blade according to a second embodiment is shown, wherein the cutting blade has a plurality of circular sinusoidal cutting blades extending over its entire periphery.

[0042] The cutting insert 200 can be formed of any material that is not inconsistent with the objectives of this specification. Exemplary materials include cemented carbide, carbide, polycrystalline diamond, polycrystalline cubic boron nitride, ceramic, cermet, steel, or other alloys. In one specific example, the matrix is ​​formed of cemented carbide. The cemented carbide matrix may contain tungsten carbide (WC). WC may be present in any amount that is not inconsistent with the purposes of this specification. For example, WC may be present in an amount of at least 70 wt%, at least 80 wt%, or at least 85 wt%. Additionally, the metallic binder of the cemented carbide may include cobalt or a cobalt alloy. For example, cobalt may be present in the cemented carbide matrix in an amount ranging from 1 wt% to 15 wt%. In some embodiments, cobalt is present in the cemented carbide matrix in an amount ranging from 5-12 wt% or 6-10 wt%. Furthermore, the cemented carbide matrix may exhibit a binder-rich region that begins on the surface of the matrix and extends inward from the surface of the matrix. The cemented carbide matrix may also include one or more additives, such as one or more of the following elements and / or compounds: titanium, niobium, vanadium, tantalum, chromium, zirconium, and / or hafnium. In some embodiments, titanium, niobium, vanadium, tantalum, chromium, zirconium, and / or hafnium form a solid solution carbide together with WC of the matrix. For example, the matrix may include one or more solid solution carbides in an amount ranging from 0.1 to 5% by weight. Additionally, the cemented carbide matrix may include, for example, nitrogen. On one hand, the cutting insert 200 may be a coating body comprising one or more coatings.

[0043] like Figures 2 to 4 and Figures 8 to 10 As shown, the cutting insert 200 includes an upper surface 210, a lower surface 220, and an outer sidewall 230 having a plurality of circular sinusoidal cutting edges 211. The circular sinusoidal cutting edges 211 have a sinusoidal waveform shape arranged along a circular path. Therefore, the circular sinusoidal cutting edges 211 are distinguished from sinusoidal cutting edges arranged along a straight path.

[0044] The cutting insert 200 preferably further includes an inner wall 240 that defines an orifice 241 to facilitate holding the cutting insert 200 within the tool holder recess 110. The orifice 241 may have a maximum radius 242 at its top and a minimum radius 243 at its bottom. The minimum radius 243 is smaller than the maximum radius 242.

[0045] The orifice 241 extends from the upper surface 210 to the lower surface 220. When the cutting insert 200 is mounted onto the tool holder body 102 of the tool holder 100, the lower surface 220 of the cutting insert 200 corresponds to the recessed bottom plate 112 of the tool holder 100, and the outer side wall 230 corresponds to the recessed wall 116 of the tool holder 100. Fasteners (e.g., screws) can be inserted through the orifice 241 and the opening 114 to secure the cutting insert 200 to the tool holder 100 within the tool holder recess 110.

[0046] like Figures 2 to 4 and Figures 8 to 10 As shown, the circular sinusoidal cutting edge 211 includes one or more peaks 213 and one or more troughs 214. (As...) Figures 2 to 4 As shown, one or more crests 213 and one or more troughs 214 may extend only a portion of the entire periphery of the upper surface 210. In this case, the periphery of the upper surface 210 may further include one or more circular edges 212. Alternatively, as Figures 8 to 10 As shown, crests 213 and troughs 214 can extend around the entire perimeter of the upper surface 210.

[0047] The upper surface 210 may define a maximum radius 215 relative to the axis of the cutting insert 200. On the other hand, one or more circular cutting edges 212, if present, may be positioned to have a radius of curvature equal to the maximum radius 215 of the upper surface 210.

[0048] The crest 213 is positioned at a radial distance 216 relative to the axis of the cutting insert 200. On one hand, the radial distance 216 is the same as the maximum radius 215 of the upper surface 210. The radius of curvature of the crest 213 is smaller than the maximum radius 215 of the upper surface 210. On the other hand, the radius of curvature of the crest 213 is less than 50% of the maximum radius 215 of the upper surface 210.

[0049] The trough 214 is positioned at a radial distance 217 relative to the axis of the cutting insert 200. The radial distance 217 is smaller than the radial distance 216. The radius of curvature of the trough 214 is smaller than the maximum radius 215 of the upper surface 210. Preferably, the radius of curvature of the trough 214 is substantially the same as the radius of curvature of the crest 213.

[0050] The circular sinusoidal cutting edge 211 has an amplitude defined by the difference between the radial distance 216 at the crest and the radial distance 217 at the trough. On one hand, the amplitude is less than 20% of the maximum radius 215 of the upper surface 210. On the other hand, the amplitude is greater than 2% of the maximum radius 215 of the upper surface 210.

[0051] refer to Figures 2 to 4 The upper surface 210 may include a plurality of circular sinusoidal cutting edges 211 that do not form part of the same sinusoidal waveform. Alternatively, such as Figures 8 to 10 As shown, multiple circular sinusoidal cutting edges 211 can extend around the entire periphery of the upper surface 210.

[0052] On the one hand, the circular sinusoidal cutting edge 211 may include two other peaks 213 within the same sinusoidal waveform, such as... Figures 2 to 4 as well as Figures 8 to 10 As shown in the diagram, when there are two additional peaks 213 within the same sine wave, the adjacent peaks 213 are offset by an offset angle 218. The offset angle can be in the range of, for example, 10 to 90 degrees, preferably in the range of 15 to 45 degrees, and more preferably in the range of 20 to 30 degrees. In a specific example, the offset angle is approximately 25 degrees.

[0053] The lower surface 220 may include a plurality of polygonal cutting edges 221 corresponding to a plurality of circular sinusoidal cutting edges 211. For example... Figures 2 to 4 As shown, the plurality of polygonal blades 221 may extend only a portion of the entire periphery of the upper surface 210. In this case, the periphery of the lower surface 220 may further include, for example, one or more circular blades 222. Alternatively, as described below... Figures 8 to 10 As described, multiple polygonal blades 221 can extend around the entire periphery of the upper surface 210.

[0054] On one hand, each polygonal blade 221 can correspond to a peak 213 within the same sine wave. In this case, adjacent polygonal blades 221 can be offset by an offset angle 225. The offset angle 225 can be in the range of, for example, 10 to 90 degrees, preferably in the range of 15 to 45 degrees, and more preferably in the range of 20 to 30 degrees. In a specific example, the offset angle 225 is the same as the offset angle 218 between adjacent peaks 213.

[0055] The lower surface 220 may define a maximum radius 223 relative to the axis of the cutting insert 200. On one hand, one or more circular cutting edges 222, if present, are positioned to have a radius of curvature equal to the maximum radius 223 of the lower surface 220. On the other hand, the maximum radius 223 of the lower surface 220 may be smaller than the maximum radius 215 of the upper surface 210.

[0056] The polygonal cutting edge 221 can be positioned at a polygonal cutting edge distance 224 relative to the axis of the cutting insert 200. In a specific example, the polygonal cutting edge distance 224 is substantially the same as the trough radial distance 217. On the other hand, one or more circular cutting edges 222, if present, can be positioned with a maximum radius greater than the polygonal cutting edge distance 224.

[0057] The outer sidewall 230 preferably provides a positive cutting clearance 236 below a plurality of circular sinusoidal cutting edges 211, preferably by including a plurality of convex surfaces 231 below the plurality of circular sinusoidal cutting edges 211. On one hand, the outer sidewall 230 further includes a concave surface 232 between the plurality of convex surfaces 231. Figures 2 to 4 As shown, the plurality of convex surfaces 231 may extend only a portion of the entire periphery of the outer side wall 230. In this case, the periphery of the outer side wall 230 may further include, for example, one or more circular surfaces 233. Alternatively, as Figures 8 to 10 As shown, multiple convex side surfaces 231 can extend around the entire periphery of the outer side wall 230.

[0058] The outer wall 230 has a height 235, which can be any height not inconsistent with the objectives of this specification. The convex surface 231 has a height 237. On one hand, the height 237 of the convex surface 231 is less than the height 235 of the outer wall 230. In one example, the height 237 of the convex surface 231 can be less than 90% of the height 235 of the outer wall 230. In another example, the height 237 of the convex surface 231 can be less than 80% of the height 235 of the outer wall 230. In yet another example, the height 237 of the convex surface 231 can be less than 60% of the height 235 of the outer wall 230. The convex surface 231 preferably provides at least 1%, more preferably at least 2%, and even more preferably at least 3% of the cutting clearance.

[0059] like Figures 2 to 4 As shown, the outer wall 230 may further include a seat surface 234. On the one hand, the seat surface 234 is preferably a vertical seat surface.

[0060] return Figure 1 and 7 The blade holder body 102 includes a blade holder recess 110. The blade holder recess 110 may include a recess base plate 112 having an opening 114 therein. The blade holder recess 110 further includes a recess wall 116, which may include a first recess sidewall 118 and a second recess sidewall 120 transverse to the first recess sidewall 118. Preferably, the first recess sidewall 118 and the second recess sidewall 120 are substantially perpendicular to each other. More preferably, the first recess sidewall 118 and the second recess sidewall 120 are positioned 90 degrees apart.

[0061] exist Figure 1 and 7 In both cases, the first recess sidewall 118 includes a first anti-rotation engagement surface 122. The first anti-rotation engagement surface 122 may include any surface that can engage with the convex side surface 231 of the outer sidewall 230 of the cutting blade 200 to resist rotation of the cutting blade 200. On one hand, the first anti-rotation engagement surface 122 takes the form of a first recess in the first recess sidewall 118 corresponding to the shape of the convex side surface 231, to provide a clearance for inserting the convex side surface 231 into the first recess 231 when the cutting blade 200 is positioned in the tool holder recess 210.

[0062] like Figure 1 and 7As shown, the first groove sidewall 118 may further include a second recess 124 in the first groove sidewall 118 corresponding to the shape of the convex side surface 231, to provide a gap for inserting another convex side surface 231 into the second recess 231 when the cutting blade 200 is positioned in the tool holder groove 210.

[0063] The second recess sidewall 120 may include a second anti-rotation engagement surface 126. The second anti-rotation engagement surface 126 may include any surface that can engage with the seat surface 234 of the outer sidewall 230 of the cutting blade 200 to resist rotation of the cutting blade 200. Figure 1 As shown, the second anti-rotation joint surface 126 can be corresponding to Figures 2 to 4 The vertical surface of the second groove sidewall 120 of the vertical seat surface 234 of the cutting insert 200. Alternatively, such as Figure 7 As shown, the second anti-rotation engagement surface 126 may take the form of a first recess in the second groove sidewall 120 corresponding to the shape of the convex side surface 231, to provide a gap for inserting the convex side surface 231 into the first recess 231 when the cutting blade 200 is positioned in the tool holder groove 210.

[0064] like Figure 1 As shown, the second groove sidewall 120 may include an upper gap 127 above the second anti-rotation engagement surface 126 to provide clearance for one or more circular cutting edges 212 when the cutting blade 200 is positioned in the tool holder groove 210.

[0065] like Figure 7 As shown, the second recess sidewall 120 may include a third anti-rotation engagement surface 128. The third anti-rotation engagement surface 128 may be in the form of a second recess in the second recess sidewall 120 corresponding to the shape of the convex side surface 231, to provide a gap for inserting the convex side surface 231 into the second recess 128 when the cutting blade 200 is positioned in the tool holder recess 210.

[0066] Figure 6 and 12 They are shown respectively Figure 1 and 7 Variations of cutting tools. For example... Figure 6 As shown, the second anti-rotation joint surface 126 can be corresponding to Figures 2 to 4 The vertical surface of the second groove sidewall 120 of the vertical seat surface 234 of the cutting blade 200. For example... Figure 12 As shown, the first anti-rotation engagement surface 122 may be in the form of a convex anti-rotation engagement surface, and the second anti-rotation engagement surface 126 may also be in the form of a convex anti-rotation engagement surface. The cutting insert 200 should have a geometry complementary to the convex anti-rotation engagement surface, such as a sinusoidal complementary geometry.

[0067] It should be understood that Figure 7 Another variation of the cutting tool may include a first anti-rotation engagement surface 122 in the form of a convex anti-rotation engagement surface and a second anti-rotation engagement surface 126 in the form of a concave anti-rotation engagement surface, as shown in reference. Figure 7 As stated above.

[0068] Further reference Figure 6 and 12 The convex anti-rotation joint surfaces of the first anti-rotation joint surface 122 and / or the second anti-rotation joint surface 126 may include a flat surface 123 for the purpose of reducing machining time on the convex feature. In industry terminology, a combined convex anti-rotation joint surface ( Figure 6 122 or Figure 12 122 and 126) and flat surface 123 ( Figure 6 The example shown is a truncated convex anti-rotation joint surface. Additionally, to facilitate groove fabrication, the convex anti-rotation joint surface may include a mixed radius of 129.

[0069] Figure 5 The effect of angularly offset plurality of cutting inserts 200, 201, 202, 203, 204, 205, 206 according to a first embodiment of this specification is shown. In this case, the corresponding tool holder grooves 210 for fixing each cutting insert are angularly offset relative to each other, such that the cutting inserts 200, 201, 202, 203, 204, 205, 206 held in the corresponding tool holder grooves 210 are angularly offset relative to each other. Figure 5 Cutting inserts 200, 201, 202, 203, 204, 205, and 206 are shown stacked in the same plane. The angular offset can, for example, range from about 1 to about 20 degrees. In another example, the angular offset can range from about 2 to about 10 degrees. In yet another example, the angular offset can range from about 3 to about 5 degrees. In a specific example, the angular offset can be about 4 degrees. Figure 5 As shown, when multiple cutting inserts 200, 201, 202, 203, 204, 205, and 206 are stacked at an offset angle, they have a combined effect that produces essentially linear cutting during the milling process.

[0070] Figure 11 The effect of angularly offset plurality of cutting inserts 200, 201, 202, 203, 204, 205, 206 according to a second embodiment of this specification is shown. In this case, the corresponding tool holder grooves 210 for fixing each cutting insert are angularly offset relative to each other, such that the cutting inserts 200, 201, 202, 203, 204, 205, 206 held in the corresponding tool holder grooves 210 are angularly offset relative to each other. Figure 10 Cutting inserts 200, 201, 202, 203, 204, 205, and 206 are shown stacked in the same plane. The angular offset can, for example, range from about 1 to about 20 degrees. In another example, the angular offset can range from about 2 to about 10 degrees. In yet another example, the angular offset can range from about 3 to about 5 degrees. In a specific example, the angular offset can be about 4 degrees. Figure 10 As shown, when multiple cutting inserts 200, 201, 202, 203, 204, 205, and 206 are stacked at an offset angle, they have a combined effect that produces essentially linear cutting during the milling process.

[0071] An exemplary cutting method includes the steps of: mounting a cutting insert on a tool holder, the cutting insert having a circular sinusoidal cutting edge and a convex side surface below the circular sinusoidal cutting edge; and positioning an anti-rotation engagement surface in contact with the convex side surface of the cutting insert to resist rotation of the cutting insert. The method may include any combination of the features of the tool holder 100 and the cutting insert 200 as described above.

[0072] Although various embodiments of the disclosed coatings and coated cutting inserts have been shown and described, modifications can be made by those skilled in the art upon reading the specification. This application includes such modifications and is limited only by the scope of the claims.

Claims

1. A cutting insert, comprising: The upper surface, when viewed in a top view perpendicular to the axis of the cutting blade, has a plurality of circular sinusoidal cutting edges, the plurality of circular sinusoidal cutting edges having a sinusoidal waveform shape arranged along a circular path in the circumferential direction; The lower surface, which is opposite to the upper surface, has a plurality of polygonal cutting edges corresponding to the plurality of circular sinusoidal cutting edges; as well as The outer wall between the upper surface and the lower surface.

2. The cutting insert of claim 1, wherein the outer wall provides a positive cutting clearance below the plurality of circular sinusoidal cutting edges.

3. The cutting insert according to claim 1, wherein the outer sidewall has a plurality of convex side surfaces between the plurality of circular sinusoidal cutting edges and the plurality of polygonal cutting edges.

4. The cutting insert according to any one of claims 1 to 3, wherein the plurality of circular sinusoidal cutting edges extend around the entire periphery of the upper surface.

5. The cutting insert according to any one of claims 1 to 3, wherein the plurality of circular sinusoidal cutting edges extend only around a portion of the entire periphery of the upper surface.

6. The cutting insert according to claim 5, wherein the upper surface has the plurality of circular sinusoidal cutting edges and the plurality of circular cutting edges.

7. A cutting tool, comprising A knife clip, the knife clip including a knife clip groove having a grooved wall, the grooved wall including a first anti-rotation engagement surface and a second anti-rotation engagement surface; as well as A cutting insert, wherein the cutting insert is mounted in the tool holder recess, the cutting insert comprising: The upper surface, when viewed in a top view perpendicular to the axis of the cutting blade, has a plurality of circular sinusoidal cutting edges, the plurality of circular sinusoidal cutting edges having a sinusoidal waveform shape arranged along a circular path in the circumferential direction; The lower surface opposite to the upper surface; as well as The outer wall between the upper surface and the lower surface The first and second anti-rotation engagement surfaces of the groove wall of the tool holder engage with the outer wall of the cutting blade to resist rotation of the cutting blade.

8. The cutting tool according to claim 7, wherein the lower surface of the cutting insert has a plurality of polygonal cutting edges corresponding to the plurality of circular sinusoidal cutting edges.

9. The cutting tool of claim 7, wherein the outer side wall has a plurality of convex side surfaces below the plurality of circular sinusoidal cutting edges.

10. The cutting tool of claim 7, wherein the outer wall provides a positive cutting clearance below the plurality of circular sinusoidal cutting edges.

11. The cutting tool according to any one of claims 7 to 10, wherein the plurality of circular sinusoidal cutting edges extend around the entire periphery of the upper surface.

12. The cutting tool according to any one of claims 7 to 10, wherein the plurality of circular sinusoidal cutting edges extend only around a portion of the entire periphery of the upper surface.

13. The cutting tool according to claim 12, wherein the upper surface has the plurality of circular sinusoidal cutting edges and the plurality of circular cutting edges.

14. The cutting tool according to any one of claims 7 to 10, wherein the first anti-rotation engagement surface is in the form of a truncated convex anti-rotation engagement surface.

15. The cutting tool according to any one of claims 7 to 10, wherein the first anti-rotation engagement surface is in the form of a concave anti-rotation engagement surface.

16. The cutting tool according to any one of claims 7 to 10, wherein the second anti-rotation engagement surface is in the form of a vertically flat surface.

17. The cutting tool according to any one of claims 7 to 10, wherein the second anti-rotation engagement surface is in the form of a truncated convex anti-rotation engagement surface.

18. The cutting tool according to any one of claims 7 to 10, wherein the second anti-rotation engagement surface is in the form of a concave anti-rotation engagement surface.

19. A cutting method, the method comprising: When the cutting insert is mounted on the tool holder and viewed in a top view perpendicular to the axis of the cutting insert, the cutting insert has a plurality of circular sinusoidal cutting edges, the plurality of circular sinusoidal cutting edges having a sinusoidal waveform shape arranged along a circular path in the circumferential direction, and the cutting insert also has an outer wall below the plurality of circular sinusoidal cutting edges. as well as The anti-rotation mating surface is positioned to contact the outer wall of the cutting blade to resist rotation of the cutting blade.

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