A continuum approach was presented for predicting the constitutive response of HCP polycrystals using a simple non-hardening constitutive model which incorporated both slip and twinning. This was achieved by considering a physically-based methodology for restricting the amount of twinning activity. A continuum approach was used, in modelling the texture evolution, that eliminated the need to increase the number of discrete crystal orientations in order to account for new orientations created by twinning during deformation. The polycrystal was represented by an orientation distribution function using the Rodrigues parameterization. A total Lagrangian framework was used to model the evolution of the microstructure. Numerical examples were used to demonstrate the use of the method to modelling deformation processes.

Modelling the Response of HCP Polycrystals Deforming by Slip and Twinning using a Finite Element Representation of the Orientation Space. B.Kouchmeshky, N.Zabaras: Computational Materials Science, 2009, 45[4], 1043-51