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 plurality of particles of abrasive particles, wherein at least 1% of the abrasive particles of the plurality of abrasive particles can have a first shape, wherein the first shape includes a body including a first surface having a rounded contour, a second surface joined to the first surface at a first edge, the second surface having a less rounded contour than the first surface, and a third surface joined to the first surface at a second edge, the third surface having a less rounded contour than the first surface. The plurality of particles can further comprise an average particle size of at least 300 microns and not greater than 900 microns, a specific surface area of at least 0.04 m2/g and not greater than 0.10 m2/g, and an alumina content of at least 65 wt % based on a total weight of the plurality of particles.

Abstract: An abrasive grain is disclosed and may include a body. The body may define a length (l), a height (h), and a width (w). In a particular aspect, the length is greater than or equal to the height and the height is greater than or equal to the width. Further, in a particular aspect, the body may include a primary aspect ratio defined by the ratio of length:height of at least about 2:1. The body may also include an upright orientation probability of at least about 50%.

Abstract: An abrasive article comprising a first group including a plurality of shaped abrasive particles overlying a backing, wherein the plurality of shaped abrasive particles of the first group define a first non-shadowing distribution relative to each other.

Abstract: An abrasive article comprising a first group including a plurality of shaped abrasive particles overlying a backing, wherein the plurality of shaped abrasive particles of the first group define a first non-shadowing distribution relative to each other.

Abstract: In an embodiment, an abrasive particle comprises a body including alumina, the alumina including a plurality of crystallites having an average crystallite size of not greater than 0.18 microns. In other embodiments, the body further comprises magnesium and zirconia. The abrasive particle has at least one of an average strength of not greater than 1000 MPa or a relative friability of at least 105%.

Abstract: A particulate material having a body including a first phase including alumina having an average crystallite size of not greater than 5 microns, and the body further including a second phase having a platelet shape.

Abstract: An abrasive grain is disclosed and may include a body. The body may define a length (l), a height (h), and a width (w). In a particular aspect, the length is greater than or equal to the height and the height is greater than or equal to the width. Further, in a particular aspect, the body may include a primary aspect ratio defined by the ratio of length:height of at least about 2:1. The body may also include an upright orientation probability of at least about 50%.

Abstract: A shaped abrasive particle including a body having a length (l), a width (w), and a height (hi), wherein the height is at least about 28% of the width, and a percent flashing (f) of at least about 10% and not greater than about 45% for a total side area of the body.

Abstract: An abrasive grain is disclosed and may include a body. The body may define a length (l), a height (h), and a width (w). In a particular aspect, the length is greater than or equal to the height and the height is greater than or equal to the width. Further, in a particular aspect, the body may include a primary aspect ratio defined by the ratio of length:height of at least about 2:1. The body may also include an upright orientation probability of at least about 50%.

Abstract: Various shaped abrasive particles are disclosed. Each shaped abrasive particle includes a body having at least one major surface and a side surface extending from the major surface.

Abstract: A coated abrasive article having a substrate, a bond material overlying the substrate, and a layer of abrasive particles contained within the bond material, the abrasive particles comprising nanocrystalline alumina.

Abstract: An abrasive grain is disclosed and may include a body. The body may define a length (l), a height (h), and a width (w). In a particular aspect, the length is greater than or equal to the height and the height is greater than or equal to the width. Further, in a particular aspect, the body may include a primary aspect ratio defined by the ratio of length:height of at least about 2:1. The body may also include an upright orientation probability of at least about 50%.

Abstract: A method of forming a shaped abrasive particle includes having a body formed by an additive manufacturing process.

Abstract: An abrasive particle having a body including a first major surface, a second major surface opposite the first major surface, and a side surface extending between the first major surface and the second major surface, such that a majority of the side surface comprises a plurality of microridges.

Abstract: An abrasive particle having a body including a first major surface, a second major surface opposite the first major surface, and a side surface extending between the first major surface and the second major surface, such that a majority of the side surface comprises a plurality of microridges.

Abstract: A shaped abrasive particle including a body having a first major surface, a second major surface, and a side surface extending between the first major surface and the second major surface, wherein the body includes a sharpness-shape-strength factor (3SF) within a range between about 0.7 and about 1.7 and a Shape Index within a range between at least about 0.51 and not greater than about 0.99.

Abstract: A method of forming a shaped abrasive particle having a body formed by an additive manufacturing process.

Abstract: An abrasive grain is disclosed and may include a body. The body may define a length (l), a height (h), and a width (w). In a particular aspect, the length is greater than or equal to the height and the height is greater than or equal to the width. Further, in a particular aspect, the body may include a primary aspect ratio defined by the ratio of length:height of at least about 2:1. The body may also include an upright orientation probability of at least about 50%.

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.