Abrasive articles are disclosed that may be used in dry sanding applications. The abrasive articles disclosed may be made entirely from abrasive materials or alternatively may be made by fastening abrasive surfaces to handles or tools. The abrasive articles of the present invention have abrasive surfaces with controlled wear rates that renew themselves during use. The self renewing abrasive surfaces of the present invention may be prepared by pressing a mixture of abrasive particles and a minimal amount of a foam binder together into a mold and subsequently allowing the mixture to foam, break down, and harden. Alternatively, high loading densities of abrasive with larger amounts of foam binder may be employed that retain their foam integrity. The resulting abrasive articles are long lasting and may be made low in cost.