Abstract: A shaped abrasive particle including a body comprising a first major surface, a second major surface, and a side surface extending between the first major surface and the second major surface, the body comprising 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 0.01 and not greater than about 0.49.

Abstract: A shaped abrasive particle including a body comprising a first major surface, a second major surface, and a side surface extending between the first major surface and the second major surface, the body comprising 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 0.01 and not greater than about 0.49.

Abstract: A coated abrasive article includes a substrate and a plurality of abrasive particles overlying the substrate, and the plurality of abrasive particles including tapered abrasive particles having a taper fraction standard deviation of at least 0.025 and not greater than 0.090.

Abstract: A coated abrasive article includes a substrate and a plurality of abrasive particles overlying the substrate, and the plurality of abrasive particles including tapered abrasive particles having a taper fraction standard deviation of at least 0.025 and not greater than 0.090.

Abstract: A shaped abrasive particle including a body comprising a first major surface, a second major surface, and a side surface extending between the first major surface and the second major surface, the body comprising 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 0.01 and not greater than about 0.49.

Abstract: An abrasive grain is disclosed and may include an elongated body. The body may define a length (l), a width (w), and a height (h), where the length is the longest dimension. The elongated body may have a first end face, a second end face, and a side surface extending between the first end face and the second end face. The body can include a twist along an axis 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: 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: The present application relates to systems and methods for obtaining real-time abrasion data. An example computer-implemented method could include receiving, at a computing device, sensor data from one or more sensors. The one or more sensors are disposed in proximity to an abrasive product or a workpiece associated with the abrasive product. The one or more sensors are configured to collect abrasion operational data associated with an abrasive operation involving the abrasive product or the workpiece. The computer-implemented method could further include training, based on the sensor data, a machine learning system to determine product specific information of the abrasive product and/or workpiece specific information. The computer-implemented method could also include providing the trained machine learning system using the computing device.

Abstract: A method for conducting an abrasive operation can include providing a fixed abrasive article and separating a first part from a second part using the fixed abrasive article according to a deterministic process.

Abstract: An abrasive grain is disclosed and may include a body. The body may include a central portion and 3 radial arms extending outwardly from the central portion along the entire length of the central portion of the body. A first radial arm, a second radial arm, and a third radial arm can define a total angle of less than 180 degrees. The body may also include at least one groove extending from a base surface along a first side of the body.

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 defines a first non-shadowing distribution relative to each other.

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: 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 coated abrasive article includes a substrate and a plurality of abrasive particles overlying the substrate, and the plurality of abrasive particles including tapered abrasive particles having a taper fraction standard deviation of at least 0.025 and not greater than 0.090.

Abstract: A coated abrasive article includes a substrate and a plurality of abrasive particles overlying the substrate, wherein at least 5% of the plurality of abrasive particles is tooth-shaped abrasive particles.

Abstract: A shaped abrasive particle including a body comprising a first major surface, a second major surface, and a side surface extending between the first major surface and the second major surface, the body comprising 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 0.01 and not greater than about 0.49.

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%.