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21 August 2001 One-dimensional modeling of shape memory alloy with improved kinetic relation for phase transformation
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Based on Brinson's one-dimensional constitutive relation for shape memory alloy (SMA), the kinetic equations for phase transformation are refined in this work in the following aspects: (1) Of both the martensite to austenite transformation and the reverse procedure, the start and finish temperatures of phase transformation for detwinned martensite is differentiated from those for twinned martensite. Different transformation parameters are introduced for the two variants of martensite. (2) The zone of the conversion from twinned martensite to detwinned martensite is extended to the austenite finish temperature Af. Numerical simulations are conducted for (1) stress- strain relation of tensile loading and unloading under constant temperature; (2) strain-temperature relation of heating and cooling under constant stress; (3) stress- temperature relation for heating and cooling under fully restrained condition. All results obtained give good descriptions of thermo-mechanical behavior of SMA.
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Xiaodong Wu, Jianshen Wu, Guojun Sun, and Caoyin Xie "One-dimensional modeling of shape memory alloy with improved kinetic relation for phase transformation", Proc. SPIE 4326, Smart Structures and Materials 2001: Modeling, Signal Processing, and Control in Smart Structures, (21 August 2001);

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