Review of the Constitutive Modeling of Shape Memory Alloy Material
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A review of Shape Memory alloy characteristics and constitutive laws for describing the stress-strain behavior and its future possible extension of researches is presented. First, an overview of SMA characteristics is presented. The modeling aspect of SMA stress-strain relationship is discussed. Three commonly used representative constitutive models predicting quasistatic SMA behavior – Tanaka, Liang and Rogers and Brinson are examined and a comparative study is presented. Differences between the definitions of material constants in these models are pointed out. The necessity for incorporating the strain rate and non-isothermal effects in these models is discussed. In addition to the detailed review of the three constitutive laws the Brinson model is verified through a corresponding algorithm. It is shown that the model can simulate both the stress and temperature induced martensite transformation.
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