Comparison of a few shape memory alloy constitutive models

摘要

Shape memory alloys (SMAs) are an important material in the fabrication of many smart devices. In response to the need to understand and predict the behavior of SMAs there have been much work performed in developing constitutive models to describe and predict the complex behavior of these materials. This work examines differences in computational simulations of a SMA device due to the choice of SMA constitutive model. The device considered is a hollow SMA tube subjected to torsion loading. The device is designed for use in the DARPA sponsored Smart Wing program lead by Northrop-Grumman. The device is designed to warp the wing frame in order to produce wing twist. Applied moment vs. angle of twist per cm are the parameters of interest for the device. Calculated results are compared with each other. The basis of the computational study are experiments previously completed by Keefe et al. Constitutive modeling approaches considered include pure austenite, pure martensite and constitutive models proposed by Tanaka, Liang-Roger and Lagoudas et al.