Abstract: A method of forming an abrasive article includes depositing a mixture into an opening of a substrate, contacting an exposed surface of the mixture in the opening to a texturing form to form a textured preform, and removing the mixture from the opening and forming an abrasive particle having a textured surface.

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 includes a shaped abrasive particle including a body having a first height (h1) at a first end of the body defining a corner between an upper surface, a first side surface, and a second side surface, and a second height (h2) at a second end of the body opposite the first end defining an edge between the upper surface and a third side surface, wherein the average difference in height between the first height and the second height is at least about 50 microns. The body also includes a bottom surface defining a bottom area (Ab) and a cross-sectional midpoint area (Am) defining an area of a plane perpendicular to the bottom area and extending through a midpoint of the particle, the body has an area ratio of bottom area to midpoint area (Ab/Am) of not greater than about 6.

Abstract: A method of forming an abrasive article includes depositing a mixture into an opening of a substrate, contacting an exposed surface of the mixture in the opening to a texturing form to form a textured preform, and removing the mixture from the opening and forming an abrasive particle having a textured surface.

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 shaped abrasive particle includes forming a first mixture and a second mixture in a single forming process into an integral precursor shaped abrasive particle, wherein the first mixture has a different composition than a composition of the second mixture.

Abstract: A particulate material having a body including a first phase having at least about 70 wt % alumina for a total weight of the first phase, and a second phase comprising phosphorus, wherein the body includes at least about 0.1 wt % of the second phase for the total weight of the body, and wherein the second phase has an average grain size of not greater than about 1 micron.

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 forming a first mixture and a second mixture in a single forming process into an integral precursor shaped abrasive particle, wherein the first mixture has a different composition than a composition of the second mixture.

Abstract: An abrasive article includes a shaped abrasive particle including a body having a first height (h1) at a first end of the body defining a corner between an upper surface, a first side surface, and a second side surface, and a second height (h2) at a second end of the body opposite the first end defining an edge between the upper surface and a third side surface, wherein the average difference in height between the first height and the second height is at least about 50 microns. The body also includes a bottom surface defining a bottom area (Ab) and a cross-sectional midpoint area (Am) defining an area of a plane perpendicular to the bottom area and extending through a midpoint of the particle, the body has an area ratio of bottom area to midpoint area (Ab/Am) of not greater than about 6.

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: 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: 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: In a particular embodiment, a particulate material includes alumina hydrate. The particulate material has a 500 psi Compaction Volume Ratio of at least about 4.0 cc/cc.

Abstract: A method of forming an abrasive article includes depositing a mixture into an opening of a substrate, contacting an exposed surface of the mixture in the opening to a texturing form to form a textured preform, and removing the mixture from the opening and forming an abrasive particle having a textured surface.

Abstract: A method of forming a shaped abrasive particle includes forming a first mixture and a second mixture in a single forming process into an integral precursor shaped abrasive particle, wherein the first mixture has a different composition than a composition of the second mixture.

Abstract: A paper includes a substrate and a polymer layer disposed over at least one side of the substrate. The paper further includes an aluminous material at least partially dispersed within the polymer layer. The aluminous material has a primary aspect ratio of at least about 1.5, a secondary aspect ratio of not greater than about 3.0, and a primary particle size between about 50 nm and about 1000 nm.

Abstract: An abrasive article includes an abrasive particulate material made of alumina crystals and a primary additive composition impregnated within the abrasive particulate material, the primary additive composition including a combination of Mg and Ca, wherein Mg and Ca are present in an additive ratio [Mg:Ca] within a range between about 1:1 and about 10:1, and further comprising at least about 0.2 wt % Ca for the total weight of the abrasive particulate material.