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 porous body includes a substrate comprising a longitudinal axis along a length L of the substrate and wherein the substrate defines a spiral shape when viewed in a plane perpendicular to the longitudinal axis, and a plurality of discrete spacer particles attached to the substrate.

Abstract: A monolithic body can comprise metal organic frameworks (MOFs) and a polymeric binder, wherein the monolithic body may have a crush strength of at least 10 N; an amount of the polymeric binder is at least 3 wt % based on the total weight of the MOFs and polymeric binder; and the polymeric binder comprises a first polymer and a second polymer, the first polymer having a water solubility of not greater than 5 g/L of water at 25° C., and the second polymer having a water solubility of at least 10 g/L of water at 25° C.

Abstract: A body can comprise a substrate and a functional layer overlying at least a portion of a surface of the substrate. The functional layer can comprise metal organic frameworks (MOFs) and a binder, the binder including an organic polymer, and an adhesion loss factor (ALF) of the functional layer to the substrate can be not greater than 7%.

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 coated abrasive article comprising a substrate and a plurality of abrasive particles having an average solidity of at least 0.87 and less than 0.97, wherein each of the abrasive particles of the plurality of abrasive particles comprises a body and striations extending along an exterior surface of the body in a direction of a length of the body. Further directed to a plurality of extruded shaped abrasive particles comprising an average solidity of at least 0.87.

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 monolithic porous body can comprise magneli phase titanium oxide and a developed interfacial area ratio Sdr of at least 60%. The monolithic body can further comprise a total porosity of at least 25% based on the total volume of the body. The monolithic porous body can have a high efficiency for the degradation of water pollutants if used as anode material in an electrolytic cell.

Abstract: A monolithic ceramic body can comprise a first portion comprising a plurality of pores defining an interconnected network of pores, and a second portion integrally formed with the first portion and defining at least a portion of a perimeter surface of the monolithic ceramic body, wherein the second portion can include at least one complementary engagement structure. In another embodiment, a porous ceramic assembly can comprise at least two of the monolithic ceramic bodies which are coupled to each other by a first complementary engagement structure and a second complementary engagement structure.

Abstract: A method for continuously forming a three-dimensional body from a mixture, wherein the mixture can comprise solid particles and a radiation curable material. The method allows the continuous production of a three-dimensional body having at least one first region and at least one second region, wherein the at least one first region and the at least one second region can be different from each other based upon one or more criteria, such as density, content of solid particles, or average particle size.

Abstract: An abrasive article including a substrate having an elongated body, a tacking layer overlying the substrate, and a first type of abrasive particle overlying the tacking layer and defining a first abrasive particle concentration at least about 10 particles per mm of substrate.

Abstract: A method for continuously forming a three-dimensional body from a mixture, the mixture comprising at least 15 vol % solid particles and a radiation curable material. The method allows the continuous production of three-dimensional bodies comprising to a high content ceramic particles at a forming speed of at least 25 mm/hour.

Abstract: An abrasive article includes a substrate comprising an elongated body, a first type of abrasive particle overlying the substrate, a bonding layer overlying the first type of abrasive particle, and a lubricious material overlying or integrated within the bonding layer.

Abstract: An abrasive article including a substrate having an elongated body, a tacking layer overlying the substrate, and a first type of abrasive particle overlying the tacking layer and defining a first abrasive particle concentration at least about 10 particles per mm of substrate.

Abstract: An abrasive article including a substrate having an elongated body, a tacking layer overlying the substrate, and a first type of abrasive particle overlying the tacking layer and defining a first abrasive particle concentration at least about 10 particles per mm of substrate.

Abstract: An abrasive article including a substrate having an elongated body, a tacking layer overlying the substrate, a first type of abrasive particle overlying the tacking layer, a second type of abrasive particle different than the first type of abrasive particles overlying the tacking layer, and a bonding layer overlying at least a portion of one of the first type of abrasive particle and the second type of abrasive particle and the tacking layer.

Abstract: An abrasive article including a substrate having an elongated body, a tacking layer overlying the substrate, a first type of abrasive particle overlying the tacking layer, a second type of abrasive particle different than the first type of abrasive particles overlying the tacking layer, and a bonding layer overlying at least a portion of one of the first type of abrasive particle and the second type of abrasive particle and the tacking layer.

Abstract: An abrasive article including a substrate as an elongated member, a first layer overlying the substrate, abrasive particles overlying the first layer, fillets connecting the first layer and the abrasive particles, a bonding layer overlying the abrasive particles, the first layer and the fillets, and the fillets have a fillet characteristic relative to an abrasive application, the fillet characteristic selected from the group consisting of tacking factor (tfl/tf), a fillet-to-particle factor (tf/dab), a fillet-to-bonding layer factor (tf/tbl), a contact factor (Ab/Af), a fillet size variance (Vf), and a combination thereof.

Abstract: An abrasive article including a substrate having an elongated body, a tacking layer overlying the substrate, and a first type of abrasive particle overlying the tacking layer and defining a first abrasive particle concentration at least about 10 particles per mm of substrate.

Abstract: An abrasive article includes a substrate comprising an elongated body, a tacking layer comprising tin overlying the substrate, and a first type of abrasive particle comprising an agglomerated particle overlying the tacking layer.