A few of you might find this interesting. We indented a disk of aluminum in order to make a specimen with residual stress. The loading was axisymmetric. The aluminum had plastic anisotropy of about 10%. Because of that mild anisotropy, the residual stresses were anisotropic by about 40% and the residual strains were anisotropic by 100%.
The paper is free until July 31 at https://authors.elsevier.com/a/1VCA54kE0BEFT
This was an interesting little study to show how constraints caused this amplification in the anisotropy.
We also showed that simple Hookean elasticity showed why the residual strain anisotropy should be the square of the stress anisotropy for Poisson's ratio of 1/3, which matches the observation (2 ~ 1.4^2).