Xd. Ding et al., ON THE STABILITY OF BIAXIAL STRETCHING WITH APPLICATION TO THE OPTIMIZATION OF SUPERPLASTIC BLOW-FORMING, Journal of engineering materials and technology, 119(1), 1997, pp. 26-31
The instability of biaxial stretching of thin sheets of viscoplastic m
etals under plane stress conditions is investigated using a linear sta
bility analysis. An instability criterion for biaxial stretching is de
veloped based on the assumption that localized necking initiates along
the direction perpendicular to the major principal stress direction.
Various ''optimum'' variable strain rate paths, which ensure a stable
deformation of the sheet without neck formation, are computed for diff
erent strain ratios based on the instability analysis. The variable st
rain rate paths are applied in the finite element modeling of the supe
rplastic uniaxial extension of a tabular specimen and superplastic blo
w-forming of a hemisphere. A reduction of forming time is achieved com
pared with the established constant strain rate forming method, while
uniformity in the thickness distribution of the formed parts are maint
ained.