One-Dimensional Macroscopic Constitutive Model for Ratcheting of Superelastic Shape Memory Alloys
Publication: Journal of Engineering Mechanics
Volume 145, Issue 3
Abstract
This paper presents a macroscopic constitutive model that is able to reproduce the uniaxial transformation ratcheting behaviors of the superelastic shape memory alloy (SMA) undergoing cyclic loading. A cosine-type phase transformation equation with the initial martensite evolution coefficient that helps to predict the residual martensite accumulation and the nonlinear features of the hysteresis loop with a small number of material parameters is established to describe the phase transformation behaviors of the SMA undergoing cyclic loading. The proposed model simultaneously takes into account the evolution of transformation-induced plastic strain during cyclic loading. The applied loading level and asymmetric tensile and compressive behavior of the SMA on transformation ratcheting are also considered in the proposed model. The evolutions of transformation ratcheting, transformation-induced plastic strain, and transformation stresses are constructed as the function of the accumulated residual martensite volume fraction. The simulated results are compared with the experimental results to show the validity of the proposed model in transformation ratcheting.
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Acknowledgments
We would like to thank for the financial support of this work the National Natural Science Foundation of China (NSFC) under Grant Nos. 51775406 and 51675398, the Open Research Fund of State Key Laboratory of Structural Analysis for Industrial Equipment (Grant No. GZ1612), the Fundamental Research Funds for the Central Universities (Grant No. JB180412), and the Natural Science Foundation of Shanxi Province of China (Grant No. 2017JM5035).
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Published In
Journal of Engineering Mechanics
Volume 145 • Issue 3 • March 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Apr 1, 2018
Accepted: Aug 24, 2018
Published online: Jan 11, 2019
Published in print: Mar 1, 2019
Discussion open until: Jun 11, 2019
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