The superplastic blow-forming process of thin sheets is analyzed, and
an optimal stable deformation path that reduces production time is obt
ained. The analysis is based on an analytical model for the superplast
ic forming (SPF) of a long rectangular box made of Ti-6Al-4V alloy at
900 degrees C, use of a microstructure-based constitutive equation for
the strain rate and grain growth, a stability criterion, and a variab
le strain rate control. It is shown that by imposing a variable strain
rate control scheme derived from the stability analysis, an optimal f
orming time can be developed while maintaining a stable deformation pa
th. Some other control schemes also show effectiveness in either reduc
ing the localized thinning in the formed sheet or reducing the require
d forming time, Effects of friction and initial grain sizes on the for
ming pressure profile and the thickness distribution of the formed she
et are also investigated.