Comparison of dislocation density tensor fields derived from discrete dislocation dynamics and crystal plasticity simulations of torsion

TL;DR

This study compares dislocation density tensor fields from discrete dislocation dynamics and crystal plasticity simulations of torsion to evaluate their consistency and establish a link between microstructural dislocation descriptions and continuum models.

Contribution

It provides a systematic comparison between DD and CP models for torsion, calibrates CP parameters using DD data, and identifies the length scale where dislocation densities are comparable.

Findings

Dislocation density fields from DD and CP are comparable in torsion.

Calibration of CP parameters using DD simulations improves model consistency.

A minimum length scale exists where dislocation densities from both models align.

Abstract

The importance of accurate simulation of the plastic deformation of ductile metals to the design of structures and components is well-known. Many techniques exist that address the length scales relevant to deformation pro- cesses, including dislocation dynamics (DD), which models the interaction and evolution of discrete dislocation line segments, and crystal plasticity (CP), which incorporates the crystalline nature and restricted motion of dis- locations into a higher scale continuous field framework. While these two methods are conceptually related, there have been only nominal efforts focused on the system-level material response that use DD-generated information to enhance the fidelity of plasticity models. To ascertain to what degree the predictions of CP are consistent with those of DD, we compare their global and microstructural response in a number of deformation modes. After using nominally homogeneous compression and shear deformation dislocation dynamics simulations to calibrate crystal plasticity flow rule parameters, we compare not only the system-level stress-strain response of prismatic wires in torsion but also the resulting geometrically necessary dislocation density fields. To establish a connection between explicit description of dislocations and the continuum assumed with crystal plasticity simulations, we ascertain the minimum length-scale at which meaningful dislocation density fields appear. Our results show that, for the case of torsion, the two material models can produce comparable spatial dislocation density distributions.