Scientia Iranica

Scientia Iranica

Volume 19, Issue 2, April 2012, Pages 249-257
Scientia Iranica

A comparative analysis of some one-dimensional shape memory alloy constitutive models based on experimental tests

https://doi.org/10.1016/j.scient.2012.01.005Get rights and content
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Abstract

Recently, Shape Memory Alloys (SMAs) have been receiving more attention and further study, due to their ability to develop extremely large, recoverable strains and great forces. In this paper, three major models of SMA behavior, used in the literature, for studying the static performance of SMA components attributed to Tanaka, Liang and Rogers, and Brinson, have been analyzed and compared. The major differences and similarities between these models have also been emphasized and presented in this paper, based on the experimental data of the shape memory and superelastic behavior of an SMA wire. It is shown that these models all agree well in their prediction of the superelastic behavior of SMAs at higher temperatures, but the models developed by Tanaka, and Liang and Rogers cannot be used for predicting the shape memory effect behavior of SMAs. It is also shown analytically that the original evolution kinetics, proposed by Brinson, in a specified region, are inadmissible for some thermomechanical loading and initial conditions. Furthermore, corrected evolution kinetics is addressed here in detail, that is; admissible and valid in this region. According to this research, regarding the validation assessment of three major 1-D constitutive models with experimental data, it will be shown that the Brinson model with the corrected evolution kinetics developed by Chung et al. can be applied for the modeling of SMA smart structures, such as flexible SMA beam structures.

Keywords

Shape memory alloys
1-D constitutive models
Experimental data

Cited by (0)

Hassan Sayyaadi received his B.S. Degree from Amirkabir University of Technology, Tehran, Iran, in 1987, his M.S. Degree from Sharif University of Technology, Tehran, Iran, in 1990, and his Ph.D. Degree from the University of Tokyo, Japan, in 2001, all in Mechanical Engineering. From 1990 to 1996, and since 2001, he has been with the Mechanical Engineering Department of Sharif University of Technology. He is now Associate Professor and his research interests include dynamics and control, robotics and mechanisms, artificial intelligence and neural networks.

Mohammad Reza Zakerzadeh received his M.S. and B.S. Degrees in Mechanical Engineering from Sharif University of Technology, Tehran, Iran, in 2005 and 2007, respectively, where he is now a Ph.D. Degree student. He is currently working on the modeling and control of a flexible large deflection beam by Shape Memory Alloy (SMA) wire actuations for use in intelligent structures, under the supervision of Professor Hassan Sayyaadi. His major focus is the modeling and compensating hysteresis behavior of SMA actuators. He has published about ten papers in this area.

Hamid Salehi is an expert in the field of aircraft structures. He received his B.S. Degree in Mechanical Engineering from Iran University of Science and Technology, Tehran, Iran, in 2005, and graduated from Sharif University of Technology, Tehran, Iran, with an M.S. Degree in Aerospace Engineering, in 2008. He has published some papers in the fields of structural impact, composite structures and smart structures.