Abstract: A method of forming a mixture including a ceramic material into a sheet, sectioning at least a portion of the sheet using a mechanical object and forming at least one shaped abrasive particle from the sheet, such that the at least one shaped abrasive particle can have a two-dimensional shape as viewed in a plane defined by a length and a width of the shaped abrasive particle selected from the group consisting of polygons, ellipsoids, numerals, Greek alphabet characters, Latin alphabet characters, Russian alphabet characters, complex shapes having a combination of polygonal shapes, and a combination thereof.

Abstract: A method of forming a mixture including a ceramic material into a sheet, sectioning at least a portion of the sheet using a mechanical object and forming at least one shaped abrasive particle from the sheet, such that the at least one shaped abrasive particle can have a two-dimensional shape as viewed in a plane defined by a length and a width of the shaped abrasive particle selected from the group consisting of polygons, ellipsoids, numerals, Greek alphabet characters, Latin alphabet characters, Russian alphabet characters, complex shapes having a combination of polygonal shapes, and a combination thereof.

Abstract: A method of forming a mixture including a ceramic material into a sheet, sectioning at least a portion of the sheet using a mechanical object and forming at least one shaped abrasive particle from the sheet, such that the at least one shaped abrasive particle can have a two-dimensional shape as viewed in a plane defined by a length and a width of the shaped abrasive particle selected from the group consisting of polygons, ellipsoids, numerals, Greek alphabet characters, Latin alphabet characters, Russian alphabet characters, complex shapes having a combination of polygonal shapes, and a combination thereof.

Abstract: A method of forming a mixture including a ceramic material into a sheet, sectioning at least a portion of the sheet using a mechanical object and forming at least one shaped abrasive particle from the sheet, such that the at least one shaped abrasive particle can have a two-dimensional shape as viewed in a plane defined by a length and a width of the shaped abrasive particle selected from the group consisting of polygons, ellipsoids, numerals, Greek alphabet characters, Latin alphabet characters, Russian alphabet characters, complex shapes having a combination of polygonal shapes, and a combination thereof.

Abstract: A method of forming a mixture including a ceramic material into a sheet, sectioning at least a portion of the sheet using a mechanical object and forming at least one shaped abrasive particle from the sheet, such that the at least one shaped abrasive particle can have a two-dimensional shape as viewed in a plane defined by a length and a width of the shaped abrasive particle selected from the group consisting of polygons, ellipsoids, numerals, Greek alphabet characters, Latin alphabet characters, Russian alphabet characters, complex shapes having a combination of polygonal shapes, and a combination thereof.

Abstract: An abrasive article may include a substrate, a tacking film overlying the substrate, abrasive particles that may include a coating layer bonded to the tacking film such that a bond between the coating layer and the tacking film defines a metallic bonding region, and a bonding layer overlying the abrasive particles and the tacking film.

Abstract: An abrasive article may include a substrate, a tacking film overlying the substrate, abrasive particles that may include a coating layer bonded to the tacking film such that a bond between the coating layer and the tacking film defines a metallic bonding region, and a bonding layer overlying the abrasive particles and the tacking film.

Abstract: A method of forming an abrasive article includes directing a beam of electromagnetic radiation at a starting location on an abrasive preform comprising a bonding layer and abrasive grains within the bonding layer, and increasing the power of the beam of electromagnetic radiation to a scanning power while directed at the starting location. The method further includes changing the position of the beam relative to the abrasive preform from the starting location to a second location on the abrasive preform.

Abstract: An abrasive article includes an elongated body, a bonding layer including a metal overlying a surface of the elongated body, and a coating layer including a polymer material overlying the boding layer. The abrasive article further includes abrasive grains contained within the bonding layer and coating layer, and wherein the bonding layer comprises an average thickness (tbl) at least about 40% of the average grit size of the abrasive grains.

Abstract: An abrasive tool includes a bonded abrasive body having abrasive grains contained within a bonding material, wherein the bonded abrasive body comprises a complex shape having a form depth (FD) of at least about 0.3. The form depth is described by the equation [(R1?Rs)/R1], wherein Rs is a smallest radius (Rs) at a point along the longitudinal axis of the bonded abrasive body and R1 is a largest radius (R1) at a point along the longitudinal axis of the bonded abrasive body. The abrasive tool can be used to finish complex shapes in workpieces.

Abstract: An abrasive tool includes a bonded abrasive body having abrasive grains contained within a bonding material, wherein the bonded abrasive body comprises a complex shape having a form depth (FD) of at least about 0.3. The form depth is described by the equation [(Rl?Rs)/Rl], wherein Rs is a smallest radius (Rs) at a point along the longitudinal axis of the bonded abrasive body and Rl is a largest radius (Rl) at a point along the longitudinal axis of the bonded abrasive body. The abrasive tool can be used to finish complex shapes in workpieces.

Abstract: A method of forming a mixture including a ceramic material into a sheet, sectioning at least a portion of the sheet using a mechanical object and forming at least one shaped abrasive particle from the sheet, such that the at least one shaped abrasive particle can have a two-dimensional shape as viewed in a plane defined by a length and a width of the shaped abrasive particle selected from the group consisting of polygons, ellipsoids, numerals, Greek alphabet characters, Latin alphabet characters, Russian alphabet characters, complex shapes having a combination of polygonal shapes, and a combination thereof.

Abstract: A method of forming a mixture including a ceramic material into a sheet, sectioning at least a portion of the sheet using a mechanical object and forming at least one shaped abrasive particle from the sheet, such that the at least one shaped abrasive particle can have a two-dimensional shape as viewed in a plane defined by a length and a width of the shaped abrasive particle selected from the group consisting of polygons, ellipsoids, numerals, Greek alphabet characters, Latin alphabet characters, Russian alphabet characters, complex shapes having a combination of polygonal shapes, and a combination thereof.

Abstract: A method of forming a mixture including a ceramic material into a sheet, sectioning at least a portion of the sheet using a mechanical object and forming at least one shaped abrasive particle from the sheet, such that the at least one shaped abrasive particle can have a two-dimensional shape as viewed in a plane defined by a length and a width of the shaped abrasive particle selected from the group consisting of polygons, ellipsoids, numerals, Greek alphabet characters, Latin alphabet characters, Russian alphabet characters, complex shapes having a combination of polygonal shapes, and a combination thereof.

Abstract: An abrasive article having a substrate, a tacking film overlying the substrate, abrasive particles comprising a coating layer bonded to the tacking film such that a bond between the coating layer and the tacking film defines a metallic bonding region, and a bonding layer overlying the abrasive particles and the tacking film,

Abstract: An abrasive article having a substrate, a tacking film overlying the substrate, abrasive particles comprising a coating layer bonded to the tacking film such that a bond between the coating layer and the tacking film defines a metallic bonding region, and a bonding layer overlying the abrasive particles and the tacking film,

Abstract: A method of forming an abrasive article includes directing a beam of electromagnetic radiation at a starting location on an abrasive preform comprising a bonding layer and abrasive grains within the bonding layer, and increasing the power of the beam of electromagnetic radiation to a scanning power while directed at the starting location. The method further includes changing the position of the beam relative to the abrasive preform from the starting location to a second location on the abrasive preform.

Abstract: An abrasive tool includes a bonded abrasive body having abrasive grains contained within a bonding material, wherein the bonded abrasive body comprises a complex shape having a form depth (FD) of at least about 0.3. The form depth is described by the equation [(Rl?Rs)/Rl], wherein Rs is a smallest radius (Rs) at a point along the longitudinal axis of the bonded abrasive body and Rl is a largest radius (Rl) at a point along the longitudinal axis of the bonded abrasive body. The abrasive tool can be used to finish complex shapes in workpieces.

Abstract: An abrasive article includes an elongated body, a bonding layer including a metal overlying a surface of the elongated body, and a coating layer including a polymer material overlying the boding layer. The abrasive article further includes abrasive grains contained within the bonding layer and coating layer, and wherein the bonding layer comprises an average thickness (tbl) at least about 40% of the average grit size of the abrasive grains.

Abstract: A method of producing a complex shape in a workpiece includes the steps of: i) grinding a workpiece at a maximum specific cutting energy of about 10 Hp/in3·min with at least one bonded abrasive tool, thereby forming a slot in the workpiece; and ii) grinding the slot with at least one mounted point tool, thereby producing the complex shape in the slot. The bonded abrasive tool includes at least about 3 volume % of a filamentary sol-gel alpha-alumina abrasive grain having an average length-to-cross-sectional-width ratio of greater than about 4:1 or an agglomerate thereof. A method of producing a slot in a metallic workpiece having a maximum hardness value of equal to, or less than, about 65 Rc includes the step of grinding the workpiece with a bonded abrasive tool at a material removal rate in a range of between about 0.25 in3/min·in and about 60 in3/min·in and at a maximum specific cutting energy of about 10 Hp/in3·min.