This papers presents a damage mechanics model, which was proposed recently
by the authors for predicting the localized necking and final failure of sh
eet metals. It is generalized to take into account the continuous direction
al change of principal strain plane and damage plane, and their hysteretic
effect on damage evolution. The generalization is a critical requirement to
predict accurately the forming limit strains, as most stamped components a
re subjected to multistage forming process. This type of forming process pr
oduces non-proportional stamping force/load and a complex strain history in
the stamped part causing directional change of principal strain plane and
damage plane. The damage model is implemented into the large-scale finite e
lement package LS-DYNA that then was applied to pl edict the forming limit
strain and fracture limit strain of VDIF under non-proportional loading con
dition. Satisfactory predictions have been achieved for several case exampl
es where the complex strain histories are prescribed from a practical stamp
ing operation.