Independent parameters of orthotropic linear transformation-based yield functions

In this paper, a wide range of linear transformation-based orthotropic yield functions are reformulated in terms of only independent parameters, as they were originally formulated with too many parameters. This allows to perform a well-posed yield surface calibration. The effect of the hydrostatic part of the transformed stress is discussed for all existing formulations of transformation-based yield functions. The need for a parameter reduction for yield functions with a higher number of parameters is even more significant, as their use is becoming increasingly important for multiscale modelling based on virtual experiments by crystal plasticity. Use of independent parameters is critical for efficient training of neural networks linking crystal and continuum plasticity.