Abstract: In this paper, the cavity damage and deformation localization behaviors of the constrained bulging of the cavity-sensitive superplastic metal sheets into cone-desk shape dies are numerically studied by using a largestrain rigid visco-plastic finite element method. Based on the simulation of practical alloy sheets,the influences of the superimposed pressure Ph,the initial cavity growth rate β_0 and the geomletrical shapes of the dies(the cone angle θ and the die heightHp)on the localization and cavity fract...