A new 3D macroscopic model for shape memory alloys describing martensite reorientation

TL;DR

This paper presents a comprehensive 3D macroscopic model for shape memory alloys that captures martensite reorientation, asymmetric tension/compression responses, and distinct transformation kinetics, advancing understanding of shape memory behavior.

Contribution

It introduces a novel 3D phenomenological model combining scalar and tensorial internal variables to accurately describe martensite reorientation and phase transformation kinetics.

Findings

Model successfully captures asymmetric tension/compression responses.

Incorporates different kinetics for forward and reverse transformations.

Provides evolution laws ensuring realistic phase transformation behaviors.

Abstract

In this paper we introduce a 3D phenomenological model for shape memory behavior, accounting for: martensite reorientation, asymmetric response of the material to tension/compression, different kinetics between forward and reverse phase transformation. We combine two modeling approaches using scalar and tensorial internal variables. Indeed, we use volume proportions of different configurations of the crystal lattice (austenite and two variants of martensite) as scalar internal variables and the preferred direction of stress-induced martensite as tensorial internal variable. Then, we derive evolution equations by a generalization of the principle of virtual powers, including microforces and micromovements responsible for phase transformation. In addition, we prescribe an evolution law for phase proportions ensuring different evolution laws during forward and reverse transformation of the oriented martensite.