| Abstract: | A model based on a combination of the micro- and macroscopic theories of plasticity has been built to predict the strain path of a textured sheet metal for a given imposed stress state. By applying the flow rule to a crystallographically based anisotropic continuum yield locus, the deformation strain tensor is determined. For each small increment of deformation, the change in the crystal rotation of each grain is followed and the strain tensor recalculated. The successive changes in the strain state with strain increment give the strain path followed by a material element. Analyses are made for different crystallographic orientations and typical sheet textures of commercially pure aluminium and a Cu-20% Zn alloy deformed in either the uniaxial or equibiaxial stress states. It is found that the simulated strain paths often deviate from those based on isotropic assumptions. The significance of the finding to the study of the formability of sheet metal is discussed. |
