Abstract

This paper presents a unified modelling effort to describe partial phase transformation during cyclic thermo-mechanical loading in Shape Memory Alloys (SMA). To this purpose, a three-dimensional (3D) finite strain constitutive model considering TRansformation-Induced Plasticity (TRIP) is combined with a modified hardening function to enable the accurate and efficient prediction of partial transformations during cyclic thermo-mechanical loading. The capabilities of the proposed model are demonstrated by predicting the behavior of the material under pseudoelastic and actuation operation using finite element analysis. Numerical results of the modified model are presented and compared with the original model without considering the partial transformation feature as well as with uniaxial actuation experimental data. Various aspects of cyclic material behavior under partial transformation are analyzed and discussed for different SMA systems.

Highlights

  • Shape memory alloys (SMAs) are smart alloys possessing the unique behaviors known as Pseudo-Elasticity (PE), one-way and two-way Shape-Memory Effect (SME)

  • Following the analytical definitions reported in Appendix A of this work [12] and by means of numerical integration, it can be verified that the Gibbs free energy returns to its initial value for closed partial transformation cycle in case of both isothermal and isobaric loading cycles

  • This paper presented a unified modeling framework for the simultaneous description of TRansformation-Induced Plasticity (TRIP) as well as Partial Transformation (PT) characteristic in Shape Memory Alloys (SMA) subjected to cyclic thermo-mechanical loading

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Summary

Introduction

Shape memory alloys (SMAs) are smart alloys possessing the unique behaviors known as Pseudo-Elasticity (PE), one-way and two-way Shape-Memory Effect (SME). After being subjected to mechanical deformation while at the high temperature austenitic phase, the alloy is able to recover the original shape through a solid-state, diffusionless phase transformation caused by the imposition of a stress (i.e., PE) and/or temperature (i.e., SME) field [1]. The physical mechanism behind SMA properties is attributed to such solid-state, diffusionless phase transformation between a high-temperature, high-symmetry austenitic phase and a low-temperature, low-symmetry martensitic phase, that takes place when the alloy is subjected to certain thermo-mechanical loading conditions [2]. Such unique behavioral characteristics make SMAs largely employed in a wide range of innovative applications [3]. Superelasticity (2021) 7:206–221 miniaturization (e.g., high power-to-mass ratio, maintainability, reliability, clean and silent actuation), SMAs are largely investigated as actuators in various engineering industries including, e.g., aerospace [4], civil [5], automotive [6], and recently wind energy [7,8,9,10]

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