Dislocation-Crystal Plasticity Simulation Based on Self-Organization for Repartition of Dislocation Cell Structures

Abstract

Reaction-diffusion equations for self-organization of dislocation cell structures repartitioned with an increase of stress are derived. A resolved shear stress is used as an argument of rate coefficients of the above equations so as to reflect the stress information in each stage of work-hardening. A dislocation-crystal plasticity model for the repartition of dislocation cell structures is developed by introducing the accumulation information of immobile dislocation density obtained from the self-organization calculations into a hardening modulus of a crystal. A FD simulation for dislocation patterning and a FE one for crystal deformation are simultaneously carried out for an f.c.c. single crystal. It is numerically shown that cell structures are repartitioned with an increase of stress and it grows into fine subgrains with a crystal rotation.