Curing of fiber-reinforced thermoset polymer composites requires an elevated temperature to accelerate the crosslinking reaction and also hydrostatic pressure to consolidate the part and suppress the formation of voids. These processing conditions can be provided by autoclaves of appropriate size, but these are expensive and sometimes difficult to schedule. Ultrasonic debulking followed by oven cure is an attractive alternative to autoclave cure. In this technique a movable "horn" driven at ultrasonic frequency is applied to the surface of the uncured part. This generates pressure and at the same time produces heating by viscoelastic dissipation. The part can be debulked to net shape and staged through the action of the ultrasound. There are a large enough number of experimental parameters in ultrasonic debulking and staging to make purely empirical process optimization difficult, and this paper outlines numerical simulation methods useful in understanding and developing the process. (C) 2004 Wiley Periodicals, Inc.