The dislocation configurational energy density in discrete dislocation plasticity

Coupling discrete dislocation dynamics with polycrystal plasticity

Lebensohn et al. [1] recently introduced an alternative description of crystal plasticity based on a fast-Fourier transform (FFT) algorithm. The FFT approach solves for the equilibrium stress and strains under the constraint of strain compatibility for systems with periodic microstructures. As currently developed, the FFT model describes plasticity with a set of elasto-viscoplastic constitutive...

Dislocation-precipitate Interaction in Discrete Dislocation Dynamics

This contribution deals with the numerical simulation of dislocation dynamics by means of parametric mean curvature flow. Dislocations are described as an evolving family of closed and open smooth curves driven by the normal velocity. The equation is solved using direct approach by semi-discrete scheme based on finite difference method. Numerical stability is improved by tangential redistributi...

Dislocation Plasticity: Overview

An arbitrary deformation of a material can always be described as the sum of a change in volume and a change in shape at constant volume (shear). Assuming constant structure, the change in volume is recovered when the load is removed, since the atoms can simply relax back to their equilibrium sizes. The change in shape, on the other hand, may or may not be recovered, since the atoms can relax i...

Dislocation core effects in plasticity

Towards Macroscopic Plasticity from Microscopic Discrete Dislocation Dynamics

Dislocations are topological line defects in the crystalline structure of a lattice. They carry a vectorial charge with units of length and magnitude at the Angstrom scale. Being defects in the lattice structure, they induce high localized stresses in the body. Their motion in huge numbers produces permanent deformation of macroscopic solids (i.e. ductility) of the order of doubling or halving ...