Crystal Plasticity Analysis of Mechanical Response in Two Phase Alloys with Dispersion of Fine Particles

Abstract

Macroscopic mechanical responses of alloy steels dispersed with fine vanadium carbide particles [1] were analyzed by crystal plasticity finite element method. Average distance of dispersed particles was used as a microscopic length scale and introduced to the models of the critical resolved shear stress and the mean free path of dislocations. Numerical result of yield stress agreed well with that of experimental result [1], but that of the work hardening rate was slightly higher than that of experimental one. When the dislocation mean free path was set to be 2 to 3 times the average spacing of dispersed particles, the work hardening rate fit better with the experimental one.

Generation and accumulation of atomic vacancies due to dislocation movement and pair annihilation

“…Let us define the model for the dislocation mean free path as a function of state variables as follows [27,28]:…”