WO2014134390A1

WO2014134390A1 - Cutting elements including non-planar interfaces, earth-boring tools including such cutting elements, and methods of forming cutting elements

Info

Publication number: WO2014134390A1
Application number: PCT/US2014/019240
Authority: WO
Inventors: Derek L. NELMS; Michael L. Doster; Jarod Degeorge; Danielle M. Fuselier
Original assignee: Baker Hughes Inc
Current assignee: Baker Hughes Holdings LLC
Priority date: 2013-02-28
Filing date: 2014-02-28
Publication date: 2014-09-04
Anticipated expiration: 2015-08-28
Also published as: US20140238753A1; US9140072B2

Abstract

Cutting elements for earth-boring tools may comprise a substrate, a polycrystalline table comprising superhard material secured to the substrate at an end of the substrate, and a non-planar interface defined between the polycrystalline table and the substrate. The non-planar interface may comprise a cross-shaped groove extending into one of the substrate and the polycrystalline table and L-shaped grooves extending into the other of the substrate and the polycrystalline table proximate corners of the cross-shaped groove. Transitions between surfaces defining the non-planar interface may be rounded. Methods of forming cutting elements for earth-boring tools may comprise forming a substrate to have a non-planar end. The non-planar end of the substrate may be provided adjacent particles of superhard material to impart an inverse shape to the particles. The particles may be sintered to form a polycrystalline table, with a non-planar interface defined between the substrate and the polycrystalline table.

Description

CUTTING ELEMENTS INCLUDING NON-PLANAR INTERFACES, EARTH-BORING TOOLS INCLUDING SUCH CUTTING ELEMENTS, AND METHODS OF FORMING

CUTTING ELEMENTS

CROSS REFERENCE TO RELATED APPLICATION

[0001] This application claims the benefit of U.S. patent application Serial No. 13/780,698. filed February 28, 2013, pending, entitled "Cutting Elements Including Non-Planar Interfaces, Earth-Boring Toois Including Such Cutting Elements, and Methods of Forming Cutting Elements".

FIELD

[0002] The disclosure relates generally to cutting elements for earth-boring tools. More specifically, disclosed embodiments relate to non-planar interfaces between polycrystalline tables and substrates of cutting elements for earth-boring tools that may manage stress in regions of the polycrystalline table and interrupt crack propagation through the

polycrystalline table.

BACKGROUND

[0003] Earth-boring tools for forming wellbores in subterranean earth formations may include cutting elements secured to a body. For example, fixed-cutter earth-boring rotary drill bits (also referred to as "drag bits") include cutting elements that are fixedly attached to a bit body of the drill bit. Roller cone earth-boring rotary drill bits may include cones that are mounted on bearing pins extending from legs of a bit body such that each cone is capable of rotating about the bearing pin on which it is mounted. Cutting elements may extend from each cone of the drill bit.

[0004] The cutting elements used in such earth-boring toois often include polycrystalline diamond compact (PDC) cutting elements, also termed "cutters," which are cutting elements including a polycrystalline diamond (PCD) material, which may be characterized as a superabrasive or superhard material. Such polycrystalline diamond materials are formed by sintering and bonding together relatively small synthetic, natural, or a combination of synthetic and natural diamond grains or crystals, termed "grit," under conditions of high temperature and high pressure in the presence of a catalyst, such as, for example, cobalt, iron, nickel, or alloys and mixtures thereof, to form a layer of polycrystalline diamond material, also called a diamond table. These processes are often referred to as high temperature/high pressure (HTHP) processes. The polycrystalline diamond material may be secured to a substrate, which may comprise a cermet material, i.e., a ceramic-metallic composite material, such as, for example, cobalt-cemented tungsten carbide. In some instances, the

polycrystalline diamond table may be formed on the cutting element, for example, during the HTHP sintering process. In such instances, cobalt or other catalyst material in the cutting element substrate may be swept among the diamond grains or crystals during sintering and serve as a catalyst material for forming a diamond table from the diamond grains or crystals. Powdered catalyst material may also be mixed with the diamond grains or crystals prior to sintering the grains or crystals together in an HTHP process. In other methods, however, the diamond table may be formed separately from the cutting element substrate and subsequently attached thereto.

[0005] As the diamond table of the cutting element interacts with the underlying earth formation, for example by shearing or crushing, the diamond table may delaminate, spall, or otherwise fracture because of the high forces acting on the cutting element and resulting high internal stresses within the diamond table of the cutting element. Some cutting elements may include non-p!anar interfaces, such as, for example, grooves, depressions, indentations, and notches, formed in one of the substrate and the diamond table, with the other of the substrate and the diamond table including corresponding, mating interface features. Illustrative non- planar interface designs are disclosed in, for example, U.S. Patent 6,283,234, issued

September 4, 2001, to Torbet, U.S. Patent 6,527,069, issued March 4, 2003, to Meiners et al, U.S. Patent 7,243,745, issued July 17, 2007, to Skeem et al., and U.S. Patent 8,020,642, issued September 20, 201 1 , to Lancaster et al., the disclosure of each of which is incorporated herein in its entirety by this reference.

BRIEF SUMMARY

[0006] In some embodiments, cutting elements for earth-boring tools may comprise a substrate, a polycrystalline table comprising superhard material secured to the substrate at an end of the substrate, and a non-planar interface defined between the polycrystalline table and the substrate. The non-planar interface may comprise a cross-shaped groove extending into one of the substrate and the polycrystalline table and L-shaped grooves extending into the other of the substrate and the polycrystalline table proximate corners of the cross-shaped groove. Transitions between surfaces defining the non-planar interface may be rounded. [0007] In other embodiments, earth-boring tools may comprise a body and cutting elements secured to the body. At least one of the cutting elements may comprise a substrate, a polycrystalline table comprising superhard material secured to the substrate at an end of the substrate, and a non-planar interface defined between the polycrystalline table and the substrate. The non-planar interface may comprise a cross-shaped groove extending into one of the substrate and the polycrystalline table and L-shaped grooves extending into the other of the substrate and the polycrystalline table proximate corners of the cross-shaped groove. Transitions between surfaces defining the non-planar interface may be rounded.

[0008] In still other embodiments, methods of forming cutting elements for earth-boring tools may comprise forming a substrate to have a non-planar end. The non-planar end comprises a cross-shaped groove extending into the substrate and L-shaped protrusions extending from a remainder of the substrate proximate corners of the cross-shaped groove. Transitions between surfaces defining the non-planar end are shaped to be rounded. Particles of superhard material are positioned adjacent the non-planar end of the substrate in a container. The particles are sintered in a presence of a catalyst material to form a polycrystalline table secured to the substrate, with a non-planar interface being defined between the substrate and the

polycrystalline table.

BRIEF DESCRIPTION OF THE DRAWINGS

[0009] While the disclosure concludes with claims particularly pointing out and distinctly claiming embodiments within the scope of the disclosure, various features and advantages of embodiments encompassed by the disclosure may be more readily ascertained from the following description when read in conjunction with the accompanying drawings, in which:

[0010] FIG. 1 is a perspective view of an earth-boring tool;

[0011] FIG. 2 is a perspective partial cross-sectional view of a cutting element of the earth- boring tool of FIG. 1 ;

[0012] FIG. 3 is a perspective view of a substrate of the cutting element of FIG. 2;

[0013] FIG. 4 is an end view of the substrate of the cutting element of FIG. 2;

[0014] FIG. 5 is a perspective view of another embodiment of a substrate for a cutting element;

[0015] FIG. 6 is an end view of the substrate of FIG. 5;

[0016] FIG. 7 is a perspective view of another embodiment of a substrate for a cutting element;

[0017] FIG. 8 is an end view of the substrate of FIG. 7; [0018] FIG. 9 is a perspective view of another embodiment of a substrate for a cutting element;

[0019] FIG. 10 is an end view of the substrate of FIG. 9;

[0020] FIG. 1 1 is a perspective view of another embodiment of a substrate for a cutting element;

[0021] FIG. 12 is an end view of the substrate of FIG. 1 1 ;

[0022] FIG. 13 is a perspective view of another embodiment of a substrate for a cutting element;

[0023] FIG. 14 is an end view of the substrate of FIG. 13;

[0024] FIG. 15 is a cross-sectional view of a container in a first stage of a process for forming a cutting element; and

[0025] FIG. 16 is a cross-sectional view of the container of FIG. 15 in a second stage of a process for forming a cutting element. DETAILED DESCRIPTION

[0026] The illustrations presented herein are not meant to be actual views of any particular earth -boring tool, cutting element, non-planar interface, component thereof, or act in a method of forming such structures, but are merely idealized representations employed to describe illustrative embodiments. Thus, the drawings are not necessarily to scale.

[0027] Disclosed embodiments relate generally to non-planar interfaces between

polycrystalline tables and substrates of cutting elements for earth-boring tools that may manage stress in regions of the polycrystalline table and interrupt crack propagation through the polycrystalline table. More specifically, disclosed are embodiments of non-planar interfaces that may strengthen high-stress regions within the polycrystalline table, interrupt crack propagation tending to extend circumferentially around the polycrystalline table, and reduce stress concentrations associated with conventional non-planar interface designs.

[0028] As used herein, the term "earth-boring tool" means and includes any type of bit or tool used for removing earth material during the formation or enlargement of a wellbore in a subterranean formation. For example, earth-boring tools include fixed-cutter bits, rolling cone bits, impregnated bits, percussion bits, core bits, eccentric bits, bicenter bits, mills, reamers, drag bits, hybrid bits, and other drilling bits and tools known in the art.

[0029] As used herein, the terms "polycrystalline table" and "polycrystalline material" mean and include any structure or material comprising grains (e.g., crystals) of a material (e.g., a superabrasive material) that are bonded directly together by inter-granular bonds. The crystal structures of the individual grains of the material may be randomly oriented in space within the polycrystalline table. For example, polycrystalline tables include polycrystalline diamond compacts (PDCs) characterized by diamond grains that are directly bonded to one another to form a matrix of diamond material with interstitial spaces among the diamond grains.

[0030] As used herein, the terms "inter-granular bond" and "interbonded" mean and include any direct atomic bond (e.g., covalent, metallic, etc.) between atoms in adjacent grains of superabrasive material.

[0031] As used herein, the term "superhard" means and includes any material having a Knoop hardness value of about 3,000 Kg_f mm² (29,420 MPa) or more. Superhard materials include, for example, diamond and cubic boron nitride. Superhard materials may also be characterized as "superabrasive" materials.

[0032] As used herein, the phrase "substantially completely removed" when used in connection with removal of catalyst material from a polycrystalline material means and includes removal of all catalyst material accessible by known catalyst removal processes. For example, substantially completely removing catalyst material includes leaching catalyst material from all accessible interstitial spaces of a polycrystalline material by immersing the polycrystalline material in a leaching agent (e.g., aqua regia) and permitting the leaching agent to flow through the network of interconnected interstitial spaces until all accessible catalyst material has been removed. Residual catalyst material located in isolated interstitial spaces, which are not connected to the rest of the network of interstitial spaces and are not accessible without damaging or otherwise altering the polycrystalline material, may remain.

[0033] As used herein, the term "L-shaped" means and includes any shape defined by two rays extending from an intersection, wherein an angle defined by the rays is between 80° and 100°. For example, L-shapes include right angles, T-squares, perpendicular rays, and other known L-shapes.

[0034] Referring to FIG. 1, a perspective view of an earth-boring tool 100 is shown. The earth-boring tool 100 may include a body 102. An upper end 104 of the body 102 may include a connector 106 (e.g., an American Petroleum Institute (API) threaded connection) configured to connect the earth-boring tool 100 to other components of a drill string (e.g., drill pipe). A lower end 108 of the body 102, for example, may be configured to engage with an underlying earth formation. For example, the lower end 108 of the body 102 may include blades 1 10 extending outward from a remainder of the body 102 and extending radially over the lower end 108 of the body 102. Cutting elements 1 12 may be secured to the blades 1 10, such as, for example, by brazing the cutting elements 1 12 within pockets 114 formed in the blades 1 10, at rotationally leading faces of the blades 1 10. The cutting elements 112 and blades 1 10 may cooperatively define a cutting structure configured to engage with and remove an underlying earth formation.

[0035] Referring to FIG. 2, a perspective partial cross-sectional view of a cutting element 1 12 of the earth-boring tool 100 of FIG. 1 is shown. The cutting element 1 12 may include a polycrystalline table 1 16 of a superhard material configured to directly contact and remove earth material. The polycrystalline table 1 16 may comprise a generally disk-shaped structure formed from individual grains of superhard material that have interbonded to form a polycrystalline matrix of grains with interstitial spaces located among the grains. The superhard material may comprise, for example, diamond or cubic boron nitride.

[0036] The polycrystalline table 1 16 may be positioned on an end of a substrate 1 18 and secured to the substrate 1 18. The substrate 118 may comprise a hard material suitable for use in earth-boring applications such as, for example, a ceramic-metallic composite material (i.e., a cermet) (e.g., cemented tungsten carbide), and may be formed in a generally cylindrical shape. The polycrystalline table 1 16 may be secured to the substrate 1 18 by, for example, a continuous metal material extending into the polycrystalline table 116 and the substrate 1 18, such as, for example, matrix material of the substrate 118 that has infiltrated among and extends continuously into the interstitial spaces of the polycrystalline table 116. An interface 120 between the polycrystalline table 1 16 and the substrate 1 18, defined by their abutting surfaces, may be non-planar. The non-planar interface 120 of the cutting element 112 may be configured to strengthen high-stress regions within the polycrystalline table 1 16, interrupt crack propagation tending to extend circumferentially around the polycrystalline table 1 16, and reduce stress concentrations associated with conventional non-planar interface designs.

[0037] Referring collectively to FIGS. 3 and 4, a perspective view and an end view of the substrate 1 18 of the cutting element 112 of FIG. 2 are shown. An end 122 of the substrate 118 on which the polycrystalline table 116 (see FIG. 2) will be formed or otherwise attached may be non-planar. The non-planar end 122 of the substrate 1 18 may include a cross-shaped (e.g., cruciform) feature 124, which is depicted as a cross-shaped groove extending into the substrate 1 18 in the embodiment of FIGS. 3 and 4. In other embodiments, the non-planar end 122 of the substrate 1 18 may comprise a cross-shaped protrusion extending away from a remainder of the substrate 1 18. A mating cross-shaped feature, embodied as the other of a groove or a protrusion, may be located on the polycrystalline table 1 16 (see FIG. 2). A center point 126 of the cross-shaped feature 124 defined at an intersection of perpendicular centerlines 128 of individual radially extending features 130 (e.g., grooves or protrusions) may be located at a central axis 132 of the substrate 1 18. The individual radially extending features 130 may extend to the periphery of the substrate 1 18, such that the planar surface 134 at the periphery is interrupted by the cross-shaped feature 124.

[0038] A depth D of the cross-shaped feature 124, as measured from a planar surface 134 at a periphery of the end 122 of the substrate 1 18 extending into the substrate 1 18 or into the polycrystalline table 1 16 (see FIG. 2), may be, for example, between about 0.25 mm and about 0.50 mm. As a specific, non-limiting example, the depth D of the cross-shaped feature 124 may be about 0.40 mm. The depth D of the cross-shaped feature 124 may be uniform in some embodiments. In other embodiments, the depth D of the cross-shaped feature 124 may not be constant. For example, the depth D of the. cross-shaped feature may change (e.g. , increase or decrease) as distance from the central axis 132 increases, which change may be constant (e.g., linear) or may vary (e.g., exponentially). A width WCSF of each individual radially extending feature 130 of the cross-shaped feature 124 may be, for example, between about 0.75 mm and about 1.75 mm. As a specific, non-limiting example, the width WCSF of each individual radially extending feature of the cross-shaped feature 124 may be about 1.25 mm. The width WCSF of each individual radially extending feature 130 of the cross-shaped feature 124 may be uniform in some embodiments. In other embodiments, the width WCSF of each individual radially extending feature 130 of the cross-shaped feature 124 may not be constant. For example, width WCSF of each individual radially extending feature 130 of the cross-shaped feature 124 may change (e.g., increase or decrease) as distance from the central axis 132 increases, which change may be constant (e.g., linear) or may vary (e.g.,

exponentially). In embodiments where the cross-shaped feature 124 comprises a cross-shaped groove extending into the substrate 118, the cross-shaped feature may strengthen the polycrystalline table 1 16 (see FIG. 2) in regions where the polycrystalline table 1 16 (see FIG. 2) is particularly susceptible to damage, such as, for example, at and around the central axis 132 of the substrate 1 18, which may also define a central axis of the cutting element 1 12 (see FIG. 2) and at the peripheral edge, by thickening the superhard material of the polycrystalline table 1 16 at those locations. In addition, the cross-shaped feature 124 may act as a conduit to channel stress away from the peripheral edge.

[0039] The non-planar end 122 of the substrate 1 18 may include L-shaped features 136 located proximate corners of the cross-shaped feature 124 in each quadrant defined by the cross-shaped feature 124, which L-shaped features 136 are depicted as L-shaped protrusions extending away from the remainder of the substrate 1 18 in the embodiment of FIGS. 3 and 4. In other embodiments, the non-planar end 122 of the substrate 118 may comprise L-shaped grooves extending into the substrate 1 18. A mating L-shaped feature, embodied as the other of a groove or a protrusion, may be located on the polycrystalline table 1 16 (see FIG. 2). Arms 138 of the L-shaped features 136 may not extend to the periphery of the substrate 1 18 such that a portion of the planar surface 134 at the periphery is uninterrupted by the L-shaped features 136.

(0040] A height H of each L-shaped feature 136, as measured from the planar surface 134 at a periphery of the end 122 of the substrate 1 18 extending into the substrate 1 18 or into the polycrystalline table 116 (see FIG. 2), may be greater than the greatest depth D of the cross- shaped feature 124. For example, the height H of each L-shaped feature 136 may be at least about 2 times, at least about 3 times, or even at least about 4 times greater than the greatest depth D of the cross-shaped feature 124. The height H of each L-shaped feature 136 may be, for example, between about 1.50 mm and about 0.50 mm. As a specific, non-limiting example, the height H of each L-shaped feature 136 may be about 1.27 mm.

[0041] A width WLSF of each arm 138 of the L-shaped features 136 may be greater than or equal to the greatest width WCSF of each radially extending feature 130 of the cross-shaped feature 124. For example, the width WLSF of each arm 138 of the L-shaped features 136 may be at least about 1.25 times, at least about 1.5 times, or even at least about 1.75 times greater than the greatest width WCSF of each radially extending feature 130 of the cross-shaped feature 124. The width WLSF of each arm 138 of the L-shaped features 136 may be, for example, between about 1.00 mm and about 3.00 mm. As a specific, non-limiting example, the width WLSF of each arm 138 of the L-shaped features 136 may be about 2.00 mm.

[0042] In embodiments where each L-shaped feature 136 comprises an L-shaped protrusion extending away from the remainder of the substrate 1 18, the L-shaped feature 136 may strategically weaken regions where the polycrystalline table 1 16 (see FIG. 2) is not particularly susceptible to damage, such as, for example, in intermediate regions between the periphery and center of the cutting element 112 (see FIG. 2), by thinning the polycrystalline table 1 16 (see FIG. 2) at those locations. In addition, the L-shaped features 136 may interrupt crack propagation through the polycrystalline table 1 16 (see FIG. 2) such that the likelihood that cracks propagate to complete an entire circle within the polycrystalline table 1 16 (see FIG. 2) may be reduced, which may reduce the occurrence of spalling of the polycrystalline table 1 16 (see FIG. 2).

[0043] Transitions between surfaces defining the non-planar end 122 of the substrate 1 18 may be rounded. For example, a radius of curvature of each transition between surfaces defining the non-planar end 122 may be about 0.5 times the depth D of the cross-shaped feature 124 or greater. More specifically, the radius of curvature of each transition between surfaces defining the non-planar end 122 may be at least about 0.75 times the depth D of the cross-shaped feature 124, at least equal to the depth D of the cross-shaped feature 124, or at least 1.25 times the depth D of the cross-shaped feature 124. The radius of curvature of each transition between surfaces defining the non-planar end 122 may be, for example, at least about 0.25 mm. As a specific, non-limiting example, radiuses of curvature of each transition between surfaces defining the non-planar end 122 may be about 0.6 mm. In some embodiments, different transitions between different surfaces defining the non-planar end 122 (e.g., between the planar surface 134 and the L-shaped features 136, and between the L- shaped features 136 and the cross-shaped feature 124, between surfaces of each individual L- shaped feature 136 or of each cross-shaped feature 124) may exhibit different radiuses of curvature. In other embodiments, each transition may have the same radius of curvature. Because the features 124 and 136 described herein are curved, the location at which one feature 124 or 136 ends and another 124 or 136 begins may not be readily visible.

Accordingly, the height H, depth D, and widths WCSF and WLSF described previously herein are to be measured from a point where the feature 124 or 136 intersects with the elevation of the planar surface 134. By making all transitions rounded, the non-planar interface 120 (see FIG. 2) may exhibit reduced stress concentrations as compared to conventional non-planar interfaces.

[0044] Referring collectively to FIGS. 5 and 6, a perspective view and an end view of another embodiment of a substrate 1 18 for a cutting element 1 12 (see FIG. 2) are shown. The non-planar end 122 of the substrate 1 18 may include all the features 124 and 136 described previously in connection with FIGS. 3 and 4. In addition, the non-planar end 122 may include a curved feature 140 in each quadrant defined by the L-shaped features 136. For example, the curved feature 140 is depicted as a curved protrusion extending from a remainder of the substrate 1 18 in the embodiment of FIGS. 5 and 6. In other embodiments, the curved feature 140 may be a curved groove extending into the substrate 1 18. A mating curved feature, embodied as the other of a groove or a protrusion, may be located on the polycrystalline table 1 16 (see FIG. 2). The curved feature 140 may extend between the arms 138 of each of the L- shaped features 136, with a center of curvature of each curved feature 140 being located at the central axis 132 of the substrate 1 18, which may also define the central axis of the cutting element 1 12 (see FIG. 2). None of the curved features 140 may intersect with the arms 138 of the L-shaped features 136, such that a portion of the planar surface 134 may be interposed between each curved feature 140 and adjacent arms 138 of the L-shaped features 136. Radially outermost portions of each curved feature 140 may be located at the same radial position of, or radially closer to the central axis 132 than, radially outermost portions of the L-shaped features 136. For example, a circle defined by connecting radially outermost points of the arms 138 of each L-shaped feature 136 may also define an outermost extent of each curved feature 1 40.

[0045] A width WCF of each curved feature 140 may be less than or equal to the greatest width WCSF of the radially extending features 130 of the cross-shaped feature 124. For example, the width WCF of each curved feature 136 may be about 1 .0 time or less, about 0.75 times or less, or about 0.5 times or less than the greatest width WCSF of the radially extending features 130 of the cross-shaped feature 124. The width WCF of each curved feature 140 may be, for example, between about 1 .25 mm and about 0.50 mm. As a specific, non-limiting example, the width WCF of each curved feature 136 may be about 0.75 mm. A height HCF of each curved feature 140, as measured from the planar surface 134 at the periphery of the end 122 of the substrate 1 18 extending into the substrate 1 18 or into the polycrystalline table 1 16 (see FIG. 2), may be less than or equal to the height H of each L-shaped feature 1 36. For example, the height HCF of each curved feature 140 may be about 1 .0 time or less, about 0.75 times or less, or about 0.50 times or less than the height H of each L-shaped feature 1 36. The height HCF of each curved feature 140 may be, for example, between about 1 .25 mm and about 0.50 mm. As a specific, non-limiting example, the height HCF of each curved feature 140 may be about 1 .00 mm. The curved features 140 may interrupt crack propagation within the polycrystalline table 1 16 (see FIG. 2) and strategically weaken the polycrystalline table 1 16 (see FIG. 2) to channel stress away from critical regions of the polycrystalline table 1 16 (see FIG. 2), such as, for example, the peripheral edge.

[0046] Referring collectively to FIGS. 7 and 8, a perspective view and an end view of another embodiment of a substrate 1 1 8 for a cutting element 1 12 (see FIG. 2) are shown. The non-planar end 122 of the substrate 1 1 8 may include all the features 124, 136, and 140 described previously in connection with FIGS. 5 and 6. In addition, the non-planar end 122 may include a trench 142 formed in each curved feature 140. For example, the trench 142 is depicted as a extending into the substrate 1 18 in the embodiment of FIGS. 5 and 6. In other embodiments, the trench 142 extend away from the substrate 1 1 8. A mating trench, embodied as the other of a extending away from or into the polycrystalline table 1 16 (see FIG. 2), may be located on the polycrystalline table 1 16 (see FIG. 2). Each trench 142 may extend for an entire length of each curved feature 140, with each trench 142 following the curve of an associated curved feature 140. For example, a center of curvature of each trench 142 may be located at the central axis 1 32 of the substrate 1 18, which may also define the central axis of the cutting element 1 12 (see FIG. 2). Each trench 142 may be centrally located on its associated curved feature 140, such that the curved feature 140 extends radially an equal distance from each of the radially innermost and radially outermost portion of the trench 142.

[0047] A width W_T of each trench 142 may be less than the width WCF of its associated curved feature 140. For example, the width Wx of each trench 142 may be about 0.5 times or less, about 0.25 times or less, or about 0. 125 times or less than the width WCF of its associated curved feature 140. The width W_T of each trench 142 may be, for example, between about 0.75 mm and about 0.12 mm. As a specific, non-limiting example, the width Wx of each trench 142 may be about 0.25 mm. A depth D_T of each trench 142, as measured from an uppermost point on its associated curved feature 140 extending into or away from the curved feature 140, may be less than or equal to the height HCF of the associated curved feature 140. For example, the depth D_T of each trench 142 may be about 0.75 times or less, or about 0.50 times or less, or about 0.25 times or less than the height HCF of each associated curved feature 140. The depth DT of each curved feature 140 may be, for example, between about 0.75 mm and about 0.25 mm. As a specific, non-limiting example, the depth D_T of each trench 142 may be about 0.50 mm. The trenches 142 may interrupt crack propagation within the polycrystalline table 1 1 6 (see FIG. 2) and channel stress away from critical regions of the polycrystalline table 1 16 (see FIG. 2), such as, for example, the peripheral edge.

[0048] Referring collectively to FIGS. 9 and 10, a perspective view and an end view of another embodiment of a substrate 1 18 for a cutting element 1 12 are shown. The non-planar end 122 of the substrate 1 1 8 may include all the features 124 and 136 described previously in connection with FIGS. 3 and 4. In addition, the non-planar end 122 may include a tapered surface 144 in an area between the arms 138 of each of the L-shaped features 1 36, extending from an intersect point 146 of each of the L-shaped features toward the one of the substrate 1 18 and the polycrystalline table 1 16 (see FIG. 2). For example, the tapered surface 144 is depicted as extending from an intersect point 146 positioned at the radially outermost location of intersection of the two arms 138 at maximum height H above the planar surface 134 toward the remainder of the substrate 1 1 8. In other embodiments, the tapered surface 1 14 may extend toward the polycrystalline table 1 16 and may extend from an intersect point defined by other features of the arms 138 (e.g., centerlines, radially innermost portion at maximum height H, midway to maximum height H, etc.). The tapered surface 144 may intersect with the arms 138 of the L-shaped features 136 along their length, such that no portion of the planar surface 134 is interposed between each tapered surface 144 and adjacent arms 138 of the L-shaped features 136 and the gradual taper of the tapered surface 144 is visible as compared to a more abrupt transition to the maximum height H of each L-shaped feature 136. Radially outermost portions of each tapered surface may be located at the same radial position of, or radially closer to the central axis 132 than, radially outermost portions of the L-shaped features 136. For example, a circle defined by connecting radially outermost points of the arms 138 of each L-shaped feature 136 may also define an outermost extent of each tapered surface 144.

[0049] A slope of each tapered surface 144 may be less than or equal to the height H of each L-shaped feature 136 divided by the length of an arm 138 of each L-shaped feature. For example, the slope of each tapered surface 144 may be less than or equal to the height H of each L-shaped feature 136 divided by the length of an arm 138 as measured from a radially outermost point of the arm 138 at an elevation of the planar surface 134 to a radially innermost point of the arm 138 at the elevation of the planar surface 134. The slope of each tapered surface 144 may be, for example, between about 0.50 and about 0.10. As a specific, non-limiting example, the slope of each tapered surface 144 may be about 0.30. The sloped surfaces 144 may strategically weaken the polycrystalline table 1 16 (see FIG. 2) to channel stress away from critical regions of the polycrystalline table 1 16 (see FIG. 2), such as, for example, the peripheral edge.

[0050] Referring collectively to FIGS. 11 and 12, a perspective view and an end view of another embodiment of a substrate 1 18 for a cutting element 1 12 are shown. The non-planar end 122 of the substrate 1 18 may include all the features 124, 136, and 144 described previously in connection with FIGS. 9 and 10. In addition, the non-planar end 122 may include a pear-shaped feature 148 in each quadrant defined by the L-shaped features 136. For example, the pear-shaped feature 148 is depicted as a pear-shaped protrusion extending from the tapered surface 144 in the embodiment of FIGS. 1 1 and 12. In other embodiments, the curved feature 140 may be a pear-shaped depression extending into the tapered surface 144. A mating pear-shaped feature, embodied as the other of a depression or a protrusion, may be located on the polycrystalline table 116 (see FIG. 2). An axis of symmetry 150 of each pear- shaped feature 148 may bisect an angle Θ defined between the arms 138 of each of the L- shaped features 136. Radially outermost portions of each pear-shaped feature 148 may be located radially closer to the central axis 132 than radially outermost portions of the tapered surface 144. For example, the distance between a radially innermost portion of each pear- shaped feature 148 and the intersect point 146 described previously in connection with FIGS. 9 and 10 may be equal to the shortest distance between a radially outermost portion of each pear-shaped feature 148 and the radially outermost portion of the tapered surface 144.

[0051] A greatest width WPSF of each pear-shaped feature 148 taken in a direction perpendicular to the axis of symmetry 150 of a respective pear-shaped feature 148 may be less than or equal to the greatest width WCSF of the radially extending features 130 of the cross-shaped feature 124. For example, the greatest width WPSF of each pear-shaped feature 148 may be about 1.0 time or less, about 0.75 times or less, or about 0.5 times or less than the greatest width W_CSF of the radially extending features 130 of the cross-shaped feature 124. The greatest width WPSF of each pear-shaped feature 148 may be, for example, between about 1.25 mm and about 0.50 mm. As a specific, non-limiting example, the greatest width W_PSF of each pear-shaped feature 148 may be about 0.75 mm. A length LCF of each pear-shaped feature 148 taken in a direction parallel to the axis of symmetry 1 50 of a respective pear- shaped feature 148 may be greater than or equal to the greatest width W_PSF of the pear-shaped feature 148. For example, the length LPSF of ^_^each pear-shaped feature 148 may be about 1 .0 time or greater, about 1 . 1 times or greater, or about 1 .25 times or greater than the greatest width WPSF of the pear-shaped feature 148. The length LPSF of each pear-shaped feature 148 may be, for example, between about 1 .50 mm and about 0.50 mm. As a specific, non-limiting example, the length L SF of each pear-shaped feature 148 may be about 1 .00 mm. A height HpsF of each pear-shaped feature 148, as measured from the planar surface 134 at the periphery of the end 122 of the substrate 1 18 extending into the substrate 1 1 8 or into the polycrystalline table 1 16 (see FIG. 2), may be less than or equal to the height H of each L- shaped feature 136. For example, the height H_PSF of each pear-shaped feature 148 may be about 1 .0 time or less, about 0.75 times or less, or about 0.50 times or less than the height H of each L-shaped feature 1 36. The height HPSF of each curved feature 148 may be, for example, between about 1.25 mm and about 0.50 mm. As a specific, non-limiting example, the height HPSF of each curved feature 148 may be about 1 .00 mm. The pear-shaped features 148 may interrupt crack propagation within the polycrystalline table 1 16 (see FIG. 2) and strategically weaken the polycrystalline table 1 16 (see FIG. 2) to channel stress away from critical regions of the polycrystalline table 1 16 (see FIG. 2), such as, for example, the peripheral edge.

[0052] Referring collectively to FIGS. 13 and 14, a perspective view and an end view of another embodiment of a substrate 1 1 8 for a cutting element 1 12 are shown. The non-planar end 122 of the substrate 1 1 8 may include all the features 124, 136, and 144 described previously in connection with FIGS. 9 and 10. In addition, the non-planar end 122 may include concentric arcs 152 in each quadrant defined by the L-shaped features 136. For example, the concentric arcs 152 are depicted as concentric arc -shaped protrusions extending from the tapered surface 144 in the embodiment of FIGS. 13 and 14. In other embodiments, the concentric arcs 152 may be a concentric arc-shaped grooves extending into the tapered surface 144. Mating concentric arcs, embodied as the other of a groove or a protrusion, may be located on the polycrystalline table 1 16 (see FIG. 2). The concentric arcs 152 may extend between the arms 138 of each of the L-shaped features 136, with a center of curvature of each concentric arc 152 being located at the central axis 132 of the substrate 1 18, which may also define the central axis of the cutting element 1 12 (see FIG. 2). None of the concentric arcs 152 may intersect with the arms 138. of the L-shaped features 136, such that a portion of the tapered surface 144 may be interposed between each concentric arc 152 and adjacent arms 138 of the L-shaped features 136. Radially outermost portions of radially outermost concentric arcs 152 may be located radially closer to the central axis 132 than radially outermost portions of the : L-shaped features 136. For example, a circle defined by connecting radially outermost points of the arms 138 of each L-shaped feature 136 may be located radially outward from the radially outermost portions of radially outermost concentric arcs 152.

[0053] A width WCA of each concentric arc 152 may be less than the greatest width WCSF of the radially extending features 130 of the cross-shaped feature 124. For example, the width WCA of each concentric arc 152 may be about 0.50 times or less, about 0.25 times or less, or about 0.125 times or less than the greatest width WCSF of the radially extending features 130 of the cross-shaped feature 124. The width WCA of each concentric arc may be, for example, between about 0.75 mm and about 0.10 mm. As a specific, non-limiting example, the width WCA of each concentric arc 152 may be about 0.25 mm. A height HCA of each concentric arc 152, as measured from the tapered surface 144 extending into the substrate 1 18 or into the polycrystalline table 1 16 (see FIG. 2) may be sufficiently small that the concentric arcs 152 do not extend above any L-shaped feature 136. For example, the height HCA of each concentric arc 152 may be between about 0.50 mm and about 0.10 mm. As a specific, non- limiting example, the height HCA of each concentric arc 152 may be about 0.25 mm. A distance D between adjacent concentric arcs 152 may be greater than or equal to the height HCA of each concentric arc 152. For example, the distance D between adjacent concentric arcs 152 may be 1.0 times or greater, 1.25 times or greater, or 1.5 times or greater than the height HCA of each concentric arc 152. The distance D between adjacent concentric arcs 152 may be, for example, between about 0.75 mm and about 0.25 mm. as a specific, non-limiting example, the distance D between adjacent concentric arcs 152 may be about 0.50 mm. A number of arcs may be between about three and about six. For example, the number of arcs may be about four. The concentric arcs 152 may interrupt crack propagation within the polycrystalline table 1 16 (see FIG. 2) and strategically weaken the polycrystalline table 116 (see FIG. 2) to channel stress away from critical regions of the polycrystalline table 116 (see FIG. 2), such as, for example, the peripheral edge.

[0054] In some embodiments, the polycrystalline table 116 (see FIG. 2) may be formed by subjecting particles of superhard material to a high temperature/high pressure (HTHP) process, sintering the particles to one another to form the polycrystalline material of the polycrystalline table 116 (see FIG..2). Such a. process may be performed by placing a container in which the particles are located into a press and subjecting the particles to the HTHP process. The HTHP process may also be used to attach the polycrystalline table 1 16 to a substrate 1 12 to form a cutting element 112 (see FIG. 2). For example, a cross-sectional view of such a container ^_^ 154 for fonning a cutting element 1 12 (see FIG. 2) is shown in FIG. 15 in a first stage of a process for forming the cutting element 1 12 (see FIG. 2). The container 154 may include one or more generally cup-shaped members, such as cup-shaped member 156c, which may act as a receptacle. Particles 158 may be placed in the cup-shaped member 1 6c, which may have a circular end wall and a generally cylindrical lateral side wall extending perpendicularly from the circular end wall, such that the cup-shaped member 134c is generally cylindrical and includes a first closed end and a second, opposite open end. The particles 158 may include a superhard material in the form of, for example, powdered diamond (e.g., natural, synthetic, or natural and synthetic diamond) or powdered cubic boron nitride, which may optionally be mixed with a liquid (e.g., alcohol) to form a slurry (e.g., a paste). The particles 158 may include a catalyst material (e.g. , iron, nickel, or cobalt) selected to catalyze formation of inter-granular bonds between individual particles of the superhard material in some embodiments. The particles 158 may exhibit a monomodal or multimodal (e.g., bimodai, trimodal, etc.) particle size distribution.

[0055] Referring to FIG. 16, a cross-sectional view of the container 154' of FIG. 15 is shown in a second stage of a process for forming a cutting element 1 12 (see FIG. 2). The container 1 4' may include the cup-shaped member 156c and two additional cup-shaped members 156a and 156b, which may be assembled and swaged and/or welded together to form the container 154'. A substrate 1 18 having a non-planar end 122, such as, for example, any of those shown in FIGS. 3 through 14, may be placed in the container 154' with the non-planar end 122 facing the particles 158. In some embodiments, the substrate 1 18 may be in a green state (i.e., an unsintered state with less than a final density) with hard particles (e.g., tungsten carbide) held in place by a binder material (e.g., wax). In other embodiments, the substrate may be in a brown state (i.e., a sintered state still with less than a final density) with hard particles bound in a matrix material (e.g., a solvent metal catalyst). In still other embodiments, the substrate 1 18 may be a fully sintered part (e.g., cemented tungsten carbide at a final density). The non- planar end 122 may be pressed against the particles 158 to impart a shape inverse to the shape of the non-planar end 122 to the particles 158. In other embodiments, the substrate 1 18 may be placed in the container 154' before the particles 158, and the particles 158 may simply conform to the shape of the non-pianar end 122 when they are placed adjacent the non-planar end 122 within the container 154'. Assembly of the container 154' may be completed, and the substrate 1 18 and particles 158 may be subjected to a high temperature/high pressure (HTHP) process to cause the particles 158 to interbond with one another in the presence of catalyst material (e.g., melted to flow among the rest of the particles 158 or swept among the particles 158 from within the substrate 118) to fom table 1 16 and to secure the polycrystalline table 1 16 to the substrate 1 18 at the non-planar interface 120. In embodiments where the substrate 118 has less than a final density, the HTHP process may also sinter the substrate 1 18 to a final density. Conventional HTHP processing may be used to form the cutting element 1 12 (see FIG. 2).

[0056] Additional, non-limiting embodiments within the scope of the present disclosure include, but are not limited to, the following:

[0057] Embodiment 1 : A cutting element for an earth-boring tool comprises a substrate, a polycrystalline table comprising superhard material secured to the substrate at an end of the substrate, and a non-planar interface defined between the polycrystalline table and the substrate. The non-planar interface comprises a cross-shaped groove extending into one of the substrate and the polycrystalline table and L-shaped grooves extending into the other of the substrate and the polycrystalline table proximate corners of the cross-shaped groove. Transitions between surfaces defining the non-planar interface are rounded.

[0058] Embodiment 2: The cutting element of Embodiment 1, further comprising a tapered surface in an area between arms of each of the L-shaped grooves, the tapered surface extending from an intersect point of each of the L-shaped grooves toward the one of the substrate and the polycrystalline table.

[0059] Embodiment 3: The cutting element of Embodiment 2, further comprising concentric grooves extending from each tapered surface into the other of the substrate and the polycrystalline table, wherein the concentric grooves do not intersect with the arms of the L- shaped grooves and a center of curvature of each of the concentric grooves is located at a central axis of the cutting element.

[0060] Embodiment 4: The cutting element of Embodiment 2, further comprising a pear- shaped depression extending from each tapered surface into the other of the substrate and the polycrystalline table, wherein an axis of symmetry of the pear-shaped depression bisects an angle defined between the arms of each of the L-shaped grooves.

[0061] Embodiment 5: The cutting element of Embodiment 4, wherein a depth of each pear- shaped depression is less than a depth of each of the L-shaped grooves.

[0062] Embodiment 6: The cutting element of Embodiment 1, further comprising a curved groove extending, between arms of each, of the L-shaped grooves into the other of the substrate and the polycrystalline table, wherein a center of curvature of each curved groove is located at a central axis of the cutting element and wherein the curved grooves do not intersect with the arms of the L-shaped grooves.

[0063] Embodiment 7: The cutting eiement of Embodiment 6, wherein a circle defined by connecting outermost points of the arms of the L-shaped grooves also defines an outermost extent of the curved grooves.

[0064] Embodiment 8: The cutting element of Embodiment 6 or Embodiment 7, further comprising a trench formed in each curved groove extending into the one of the substrate and the polycrystalline table, wherein the trench follows the curve of each curved groove.

[0065] Embodiment 9: The cutting element of any one of Embodiments 1 through 8, wherein a depth of the cross-shaped groove is less than a depth of each of the L-shaped grooves.

[0066] Embodiment 10: The cutting element of any one of Embodiments 1 through 9, wherein the transitions between the surfaces defining the non-planar interface have a radius of curvature of at least 0.25 mm.

[0067] Embodiment 1 1 : An earth-boring tool comprises a body and cutting elements secured to the body. At least one of the cutting elements comprises a substrate, a polycrystalline table comprising superhard material secured to the substrate at an end of the substrate, and a non- pianar interface defined between the polycrystalline table and the substrate. The non-planar interface comprises a cross-shaped groove extending into one of the substrate and the polycrystalline table and L-shaped grooves extending into the other of the substrate and the polycrystalline table proximate corners of the cross-shaped groove. Transitions between surfaces defining the non-planar interface are rounded.

[0068] Embodiment 12: A method of forming a cutting element for an earth-boring tool comprises forming a substrate to have a non-planar end. The non-planar end comprises a cross-shaped groove extending into the substrate and L-shaped protrusions extending from a remainder of the substrate proximate corners of the cross-shaped groove. Transitions between surfaces defining the non-planar end are shaped to be rounded. Particles of superhard material are positioned adjacent the non-planar end of the substrate in a container. The particles are sintered in a presence of a catalyst material to form a polycrystalline table secured to the substrate, with a non-planar interface being defined between the substrate and the

polycrystalline table.

[0069] Embodiment 13: The method of Embodiment 12, further comprising forming the non- planar end to comprise a tapered surface in an area between arms of each of the L-shaped grooves, the tapered surface extending from an intersect point of each of the L-shaped grooves toward the remainder of the substrate.

[0070] Embodiment 14: The method of Embodiment 13, further comprising forming the non- planar end to comprise concentric protrusions extending from each tapered surface away from the remainder ; of the ^ substrate, wherein concentric protrusions do not intersect with the arms of the L-shaped protrusions and a center of curvature of each of the concentric protrusions is located at a central axis of the substrate.

[0071] Embodiment 15: The method of Embodiment 13, further comprising forming the non- planar end to comprise a pear-shaped protrusion extending from each tapered surface away from the remainder of the substrate, wherein an axis of symmetry of the pear-shaped protrusion bisects an angle defined between the arms of each of the L-shaped protrusions.

[0072] Embodiment 16: The method of Embodiment 12, further comprising forming the non- planar end to comprise a curved protrusion extending between arms of each of the L-shaped protrusions into the substrate, wherein a center of curvature of each curved protrusion is located at a central axis of the substrate and wherein the curved protrusions do not intersect with the arms of the L-shaped protrusions.

[0073] Embodiment 17: The method of Embodiment 16, wherein forming the non-planar end to comprise the curved protrusion extending between the arms of each of the L-shaped protrusions comprises forming an outermost extent of each curved protrusion to coincide with a circle defined by connecting outermost points of the arms of the L-shaped protrusions.

[0074] Embodiment 18: The method of Embodiment 16 or Embodiment 17, further comprising forming the non-planar end to comprise a trench extending toward the substrate formed in each curved protrusion, wherein the trench follows the curve of each curved protrusion. [0075] Embodiment 19: The method of any one of Embodiments 12 through 18, further comprising forming a depth of the cross-shaped groove to be less than a height of each of the L-shaped protrusions.

[0076] Embodiment 20: The cutting element of any one of Embodiments 12 through 18, further comprising pressing the non-planar end of the substrate against the particles to impart an inverse shape of the non-planar end to the particles,

[0077] While certain illustrative embodiments have been described in connection with the figures, those of ordinary skill in the art will recognize and appreciate that the scope of the disclosure is not limited to those embodiments explicitly shown and described herein. Rather, many additions, deletions, and modifications to the embodiments described herein may be made to produce embodiments within the scope of the disclosure, such as those hereinafter claimed, including legal equivalents, in addition, features from one disclosed embodiment may be combined with features of another disclosed embodiment while still being within the scope of the disclosure, as contemplated by the inventors.

Claims

CLAIMS What is claimed is:

1. A cutting element for an earth-boring tool, comprising:

a substrate;

a polycrystalline table comprising superhard material secured to the substrate at an end of the substrate; and

a non-planar interface defined between the polycrystalline table and the substrate, the non-planar interface comprising a cross-shaped groove extending into one of the substrate and the polycrystalline table and L-shaped grooves extending into the other of the substrate and the polycrystalline table proximate corners of the cross-shaped groove, wherein transitions between surfaces defining the non-planar interface are rounded.

2. The cutting element of claim 1 , further comprising a tapered surface in an area between arms of each of the L-shaped grooves, the tapered surface extending from an intersect point of each of the L-shaped grooves toward the one of the substrate and the polycrystalline table.

3. The cutting element of claim 2, further comprising concentric grooves extending from each tapered surface into the other of the substrate and the polycrystalline table, wherein the concentric grooves do not intersect with the arms of the L-shaped grooves and a center of curvature of each of the concentric grooves is located at a central axis of the cutting element.

4. The cutting element of claim 2, further comprising a pear-shaped depression extending from each tapered surface into the other of the substrate and the polycrystalline table, wherein an axis of symmetry of the pear-shaped depression bisects an angle defined between the arms of each of the L-shaped grooves.

5. The cutting element of claim 4, wherein a depth of each pear-shaped depression is less than a depth of each of the L-shaped grooves.

6. The cutting element of claim 1, further comprising a curved groove extending between arms of each of the L-shaped grooves into the other of the substrate and the polycrystalline table, wherein a center of curvature of each curved groove is located at a central axis of the cutting element and wherein the curved grooves do not intersect with the arms of the L-shaped grooves.

7. The cutting element of claim 6, wherein a circle defined by connecting outermost points of the arms of the L-shaped grooves also defines an outermost extent of the curved grooves.

8. The cutting element of claim 6, further comprising a trench formed in each curved groove extending into the one of the substrate and the polycrystalline table, wherein the trench follows the curve of each curved groove.

9. The cutting element of claim 1 , wherein a greatest depth of the cross-shaped groove is less than a depth of each of the L-shaped grooves.

10. The cutting element of claim 1, wherein the transitions between the surfaces defining the non-planar interface have a radius of curvature of at least 0.25 mm.

1 1. An earth-boring tool, comprising:

a body; and

cutting elements secured to the body, at least one of the cutting elements comprising:

a substrate;

a non-planar interface defined between the polycrystalline table and the substrate, the non-planar interface comprising a cross-shaped groove extending into one of the substrate and the polycrystalline table and L-shaped grooves extending into the other of the substrate and the polycrystalline table proximate corners of the cross- shaped groove, wherein transitions between surfaces defining the non-planar interface are rounded.

12. A method of forming a cutting element for an earth-boring tool, comprising: forming a substrate to have a non-planar end, the non -planar end comprising a cross-shaped groove extending into the substrate and L-shaped protrusions extending from a remainder of the substrate proximate corners of the cross-shaped groove;

shaping transitions between surfaces defining the non-planar end to be rounded;

positioning particles of superhard material adjacent the non-planar end of the substrate in a container; and

sintering the particles in a presence of a catalyst material to form a polycrystalline table secured to the substrate, with a non-planar interface being defined between the substrate and the polycrystalline table,

13. The method of claim 12, further comprising forming the non-planar end to comprise a tapered surface in an area between arms of each of the L-shaped grooves, the tapered surface extending from an intersect point of each of the L-shaped grooves toward the remainder of the substrate.

14. The method of claim 13, further comprising forming the non-planar end to comprise concentric protrusions extending from each tapered surface away from the remainder of the substrate, wherein the concentric protrusions do not intersect with the arms of the L- shaped protrusions and a center of curvature of each of the concentric protrusions is located at a central axis of the substrate.

15. The method of claim 13 , further comprising forming the non-planar end to comprise a pear-shaped protrusion extending from each tapered surface away from the remainder of the substrate, wherein an axis of symmetry of the pear-shaped protrusion bisects an angle defined between the arms of each of the L-shaped protrusions.

16. The method of claim 12, further comprising forming the non-planar end to comprise a curved protrusion extending between arms of each of the L-shaped protrusions into the substrate, wherein a center of curvature of each curved protrusion is located at a central axis of the substrate and wherein the curved protrusions do not intersect with the arms of the L- shaped protrusions.

17. The method of claim 16, wherein forming the non-planar end to comprise the curved protrusion extending between the arms of each of the L-shaped protrusions comprises forming an outermost extent of each curved protrusion to coincide with a circle defined by connecting outermost points of the arms of the L-shaped protrusions,

18. The method of claim 16, further comprising forming the non-planar end to comprise a trench extending toward the substrate formed in each curved protrusion, wherein the trench follows the curve of each curved protrusion,

19. The method of claim 12, further comprising forming a greatest depth of the cross-shaped groove to be less than a height of each of the L-shaped protrusions.

20. The cutting element of claim 12, further comprising pressing the non-planar end of he substrate _. against 1he particles to impart an inverse shape of the non-planar end to the particles.