Asymmetric crystal plasticity theory for FCC polycrystals: peculiarities of numerical implementation of some schemes of loading

The questions connected with the construction of a crystal plasticity theory for f.c.c. polycrystal, taking into account the rotation of crystal lattices of grains, on the basis of asymmetric stress and strain state measures. Two-level elastoviscoplastic model of polycrystalline aggregate and the general form of asymmetric Hookes law in the relaxation speed form is proposed. Relations for surface and bulk moments leading to the rotations of the grains and fragments crystal lattices are formulated. Separately, the problems arising in numerical realization of some commonly used schemes of loading - settling and constrain settling are discussed. It is shown that using implicit scheme of second order accuracy can significantly accelerate the process of numerical computation due to the possibility of increasing the integration step, while maintaining the required accuracy.