Combined effects of anisotropy and tension-compression asymmetry on the   torsional response of AZ31 Mg
  In this paper it is demonstrated that only by accounting for the combined effects of anisotropy and tension-compression asymmetry both at single crystal and polycrystal levels, it is possible to explain and accurately predict the peculiarities of the room-temperature torsional response of a strongly textured AZ31 Mg material. This is shown by using two modeling frameworks, namely: the viscoplastic self-consistent (VPSC) polycrystal model that accounts for tension-compression asymmetry of the mechanical response of a polycrystalline aggregate due to the occurrence of twinning at single crystal level, and an anisotropic plasticity model based on an orthotropic yield criterion that accounts for tension-compression asymmetry in plastic flow at macroscopic level, developed by Cazacu et al. (2006). It is shown that unlike Hill's (1948), the latter macroscopic criterion quantitatively predicts the experimental results, namely: that the sample with axial direction along the rolling direction contracts, while the sample with axial direction along the normal direction elongates. Moreover, it is demonstrated that these experimentally observed axial effects in torsion can be also quantitatively predicted with the VPSC polycrystal model only if both slip and twinning are considered active at single crystal level. On the other hand, if it is assumed that the plastic deformation is fully accommodated by crystallographic slip, the predicted axial strains are very close with that obtained with Hill (1948) criterion, which largely underestimate the measured axial strains. 
Nitin Chandola, Ricardo A. Lebensohn, Benoit Revil-Baudard, Oana   Cazacu, Raja K. Mishra, Fr\'ed\'eric Barlat
cond-mat.mtrl-sci