A Multiscale Investigation of the Physical Origins of Tension--Compression Asymmetry in Crystals and their Implications for Cyclic Behavior

TL;DR

This paper combines mesoscale simulations and finite element modeling to uncover dislocation mechanisms behind tension-compression asymmetry in crystals, enhancing understanding of cyclic deformation and improving predictive models for material failure.

Contribution

It identifies two original dislocation mechanisms causing asymmetry and incorporates them into a crystal plasticity model with predictive capabilities.

Findings

Dislocation mechanisms cause the Bauschinger effect.

Macroscale simulations agree with experimental cyclic deformation data.

No long-range internal stresses are observed in the simulations.

Abstract

Most of crystalline materials develop an hysteresis on their deformation curve when a mechanical loading is applied in alternating directions. This effect, also known as the Bauschinger effect, is intimately related to the reversibile part of the plastic deformation and controls the materials damage and ultimately their failure. In the present work, we associate mesoscale Dislocation Dynamics simulations and Finite Element simulations to identify two original dislocation mechanisms at the origin of the traction/compression asymmetry and quantify their impacts on the cyclic behaviour of FCC single-crystals. After demonstrating that no long-range internal stresses can be measured in the simulations, careful analysis of the dislocation network show that the Bauschinger effect is caused by an asymmetry in the stability of junctions formed from segments whose curvature is determined by the applied stress, and a significant portion of the stored dislocation segments is easily recovered during the backward motion of dislocations in previously explored regions of the crystal. These mechanisms are incorporated into a modified crystal plasticity framework with few parameters quantified from statistical analysis of Dislocation Dynamics simulations or from the literature. This strategy has a real predictive capability and the macroscale results are in good agreement with most of the experimental literature existing on the Bauschinger and cyclic deformation of FCC single-crystals. This work provides valuable mechanistic insight to assist in the interpretation of experiments and the design of structural components to consolidate their life under cyclic loading.