Linear transfomation-based anisotropic yield functions

In this paper, anisotropic yield functions based on linear transformations of the stress deviator are discussed in general terms. Two specific convex formulations are proposed to describe the anisotropic behavior of metals and alloys for a full stress state (3D). The type of input data recommended for the description of plastic anisotropy in sheet samples is discussed. The two formulations are shown to be suitable constitutive models for 6111-T4 and 2090-T3 aluminum alloy sheet samples.