A Simplified Constitutive Model of Ti-Ni Shape Memory Alloy Considering Loading/Unloading Rate
YU Binshan1, FAN Yujiang2, WANG Sheliang1, YANG Tao1
1 School of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an 710055; 2 School of Architecture, Chang’an University, Xi’an 710061
Abstract: Systematic study was conducted on variation regularity for stress-strain curve, feature points stress, dissipated energy, equivalent damping ratio of Ti-Ni shape memory alloy (SMA) wires changed with diameter of wires, strain amplitude, loa-ding rate and loading cyclic number. Combining with above experimental results, a simplified constitutive model for SMA considering loading/unloading rate was proposed, aiming at making up the disadvantage of phynomenological Brinson constitutive model that cannot describe dynamic mechanical property of SMA. Then, simulation of experimental SMA wires with this constitutive model was conducted. The average errors of feature points in stress-strain curve were only 3%. The results showed the proposed simplified rate-dependent constitutive model of SMA could satisfactorily describe the superelastic mechanical behavior of SMA during the stress-induced transformation, and reflect the influence of dominant factors such as loading/unloading rate and strain amplitude to the dynamic constitutive model. Therefore, with simple formulation, the constitutive model is useful for practical engineering application of SMA.
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2017, Vol. 31 
