A methodology to evaluate continuum-scale yield surfaces based on the spatial distributions of yielding at the crystal scale

TL;DR

This paper presents a new method to predict continuum-scale yield surfaces in polycrystalline materials by linking local crystal-scale yielding behavior with microstructural properties using finite element modeling and a novel detection algorithm.

Contribution

The methodology explicitly incorporates microstructure effects into yield surface prediction through a multiaxial strength-to-stiffness parameter derived from crystal-scale elastic response.

Findings

Successfully predicts yield surface for dual-phase stainless steel

Uses flood fill algorithm to detect macroscopic yield

Links local crystal yielding to continuum-scale behavior

Abstract

Using a correlation between local yielding and a multiaxial strength-to-stiffness parameter, the continuum-scale yield surface for a polyphase, polycrystalline solid is predicted. The predicted surface explicitly accounts for microstructure through the quantification of strength-to-stiffness based on a finite element model of a crystal-scale sample. The multiaxial strength-to-stiffness is evaluated from the elastic response of the sample and the restricted slip, single-crystal yield surface. Macroscopic yielding is defined by the propogation of a yield band through the sample and is detected with the aid of a flood fill agorithm. The methodology is demonstrated with the evaluation of a plane-stress yield surface for a dual-phase superaustenitic stainless steel.