A Theoretical Analysis of Equibiaxial Deformation Texture Under Non-prescribed Strain Path

A model is presented to calculate the rotation path of crystals under equibiaxial tension when thestrain ratio is fixed (prescribed strain path) or when the strain ratio is allowed to adjust itself accordingto the external constraint and the current state of the plastic anisotropy of the material (nonprescribedstrain path). It is found that the stability of grain orientation is related to the curvature ofthe strain path. There is a difference in the predicted equibiaxial deformation texture for the two typesof strain paths. Grain orientations which are unstable under a linear strain path may become stableunder a non-linear or varying strain path.