Review of the Constitutive Modeling of Shape Memory Alloy Material

Kamal M. Bajoria(1*), Surajit Das(2)

(1) Department of Civil Engineering, Indian Institute of Technology Bombay, India
(2) Department of Civil Engineering, Indian Institute of Technology Bombay, India
(*) Corresponding author


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Abstract


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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Keywords


Smart Structures; Shape Memory Alloy; Solid-Solid Phase Transformation; Austenite; Martensite; Martensite Fraction; Twinned Martensite; Detwinned Martensite; Hysteresis Loop

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