Interrupted structured abrasive articles comprise an abrasive layer comprising shaped abrasive composites that extend outwardly from a first major surface of a backing to which they are secured. The abrasive layer defines at least one open region that is free of the shaped abrasive composites and may extend partially or completely through the backing. In some embodiments, each of the open regions comprises a circular area of at least 1.5 square centimeters, and when combined the open regions have total area that is at least 10 percent of the area of the first major surface of the backing. Interrupted abrasive articles are useful in single-sided polishing processes.