Superhard compacts, assemblies including the same, and methods of using the same are disclosed herein. An example assembly includes at least one superhard compact secured to a support body. The support body includes at least one exterior surface and defines at least one recess extending inwardly from the exterior surface. The recess is configured to receive at least a portion of the superhard compact. The assembly includes at least one magnet that secures the superhard compact to the support body. For example, the magnet may form part of the superhard compact, the support body, or both.

A cutting element includes a table coupled to a substrate at an interface. The table includes a working surface opposite the interface and defined by a perimeter, a table thickness measured between the interface and the working surface, and a torque transmittable depression formed in the working surface of the table a distance away from the perimeter. The torque transmittable depression extends a depth into the table and has a cross-sectional profile with a torque transmittable shape. The depth of the depression may be greater than the thickness of the table, or an optional sensor may be placed in the depression.

A cutting element and a method of providing the cutting element are provided. The cutting element may include a substrate, a first polycrystalline diamond zone, and a second polycrystalline diamond zone. The first polycrystalline diamond zone may be substantially free of a catalyst material. The second polycrystalline diamond zone rich in the catalyst material may be bonded to the substrate along an interface. The second polycrystalline diamond zone may be bonded to the first polycrystalline diamond zone along an effective transition zone. The effective transition zone may have a plurality of irregular projections toward the first polycrystalline diamond zone and the second polycrystalline diamond zone.

A cutting element and a method of providing the cutting element are provided. The cutting element may include a substrate, a first polycrystalline diamond zone, and a second polycrystalline diamond zone. The first polycrystalline diamond zone may be substantially free of a catalyst material. The second polycrystalline diamond zone rich in the catalyst material may be bonded to the substrate along an interface. The second polycrystalline diamond zone may be bonded to the first polycrystalline diamond zone along an effective transition zone. The effective transition zone may have a plurality of irregular projections toward the first polycrystalline diamond zone and the second polycrystalline diamond zone.

Polycrystalline diamond cutting elements with modified catalyst depleted portions and methods of making the same are disclosed herein. A method may include removing inter-bonded diamond grains along an outer surface of a polycrystalline diamond compact to form a frustoconical surface, introducing the polycrystalline diamond compact to a leaching process in which catalyst material that is positioned within interstitial regions between the inter-bonded diamond grains is removed from the polycrystalline diamond compact, and removing inter-bonded diamond grains along the outer surface of the polycrystalline diamond compact to form a polycrystalline diamond cutting element having a peripheral surface.

An abrasive article, comprising a polycrystalline material comprising abrasive grains and a filler material having an average negative coefficient of thermal expansion (CTE) within a range of temperatures between about 70 K to about 1500 K. A method of forming an abrasive article, comprising preparing an abrasive material, preparing a filler material having an average negative coefficient of thermal expansion (CTE) within a range of temperatures between about 150 K to about 1500 K, and forming a polycrystalline material comprising grains of the abrasive material and the filler material.

A rotary drill bit is disclosed. The rotary drill bit may include a bit body, a cutting pocket defined in the bit body, and a cutting element rotatably coupled to the bit body. The cutting element may be positioned at least partially within the cutting pocket. The rotary drill bit may also include a rotation-inducing member adjacent to the cutting element for inducing rotation of the cutting element relative to the cutting pocket. The rotation-inducing member may include a resilient member or a vibrational member. The rotary drill bit may also include protrusions extending from an interior of the cutting pocket adjacent to an outer diameter of the cutting element. A method of drilling a formation is also disclosed.

A method of forming a polycrystalline diamond compact includes forming a polycrystalline diamond material at a temperature and a pressure sufficient to form diamond-to-diamond bonds in the presence of a catalyst; substantially removing the catalyst from a volume of the polycrystalline diamond material from a first surface to a first leach depth; and substantially removing the catalyst from a volume of the polycrystalline diamond material from a second surface to a second, different leach depth. A polycrystalline diamond compact includes a polycrystalline diamond material having a first volume, a second volume, and a boundary between the first volume and the second volume. The first volume includes a catalyst disposed in interstitial spaces between diamond grains. The second volume is substantially free of the catalyst. The boundary's location is selected to control thermal stability and/or impact resistance.

A method of forming a polycrystalline diamond compact includes forming a polycrystalline diamond material at a temperature and a pressure sufficient to form diamond-to-diamond bonds in the presence of a catalyst; substantially removing the catalyst from a volume of the polycrystalline diamond material from a first surface to a first leach depth; and substantially removing the catalyst from a volume of the polycrystalline diamond material from a second surface to a second, different leach depth. A polycrystalline diamond compact includes a polycrystalline diamond material having a first volume, a second volume, and a boundary between the first volume and the second volume. The first volume includes a catalyst disposed in interstitial spaces between diamond grains. The second volume is substantially free of the catalyst. The boundary's location is selected to control thermal stability and/or impact resistance.

A cutting element for an earth-boring tool includes a body having a longitudinal axis, a generally planar volume of hard material carried by the body, and a sensor affixed to the body. The sensor may be configured to sense at least one of stress and strain. An earth-boring tool includes a cutting element disposed at least partially within a pocket of a body. Methods of forming cutting elements comprise securing a generally planar volume of hard material to a body, attaching a sensor to the body, and configuring the sensor. Methods of forming earth-boring tools comprise forming a cutting element and securing the cutting element within a recess in a body of the earth-boring tool. Methods of forming wellbores comprise rotating an earth-boring tool comprising a cutting element and measuring at least one of stress and strain.