Plane constrained shear of single crystals

TL;DR

This paper investigates the plane constrained shear behavior of single crystals with one slip system using thermodynamic dislocation theory, revealing effects like work hardening, temperature and strain rate sensitivity, Bauschinger effect, and size dependence.

Contribution

It introduces a numerical solution for the shear problem in single crystals considering thermodynamic dislocation theory, highlighting complex material responses.

Findings

Demonstrates combined isotropic and kinematic work hardening

Shows stress-strain sensitivity to temperature and strain rate

Identifies size effects and Bauschinger effect

Abstract

This paper studies the plane constrained shear problem for single crystals having one active slip system and subjected to loading in both directions within the small strain thermodynamic dislocation theory proposed by Le (2018). The numerical solution of the boundary value problem shows the combined isotropic and kinematic work hardening, the sensitivity of the stress-strain curves to temperature and strain rate, the Bauschinger effect, and the size effect.