A physically based constitutive model for FCC single crystals with a single state variable per slip system

A new, simple and physically consistent dislocation-density-based continuum model is developed in a large-strain crystal plasticity framework. All the constitutive laws are expressed in a simple and unique way in terms of a single state variable dislocation density. The proposed physically based model predicts experimental single-crystal stress–strain curves along different crystal directions more accurately than a classical model with widely accepted constitutive laws. The polycrystal texture predictions from the dislocation-density-based and classical models having the same single-crystal stress–strain characteristics are in good agreement with the classical model when Taylor-type homogenization is used in conjunction with enough number of grains.