Macroscopic constitutive model of shape memory alloys for partial transformation cycles

Tadashige Ikeda; Florin Andrei Nae; Yuji Matsuzaki

doi:10.1117/12.539463

26 July 2004 Macroscopic constitutive model of shape memory alloys for partial transformation cycles

Tadashige Ikeda, Florin Andrei Nae, Yuji Matsuzaki

Proceedings Volume 5383, Smart Structures and Materials 2004: Modeling, Signal Processing, and Control; (2004) https://doi.org/10.1117/12.539463
Event: Smart Structures and Materials, 2004, San Diego, CA, United States

Abstract

A simple yet accurate specimen-based macroscopic constitutive model of shape memory alloys (SMA) was derived from a grain-based micromechanical model, to understand the complicated thermo-mechanical behavior of SMA and to design structural elements with SMA components optimally. This model was composed of a phase transformation energy criterion, a strain equation, and a heat and energy flow equation. New features are that (1) a partial transformation cycle model was proposed, which is called the shift-skip model, and that (2) required energy for phase transformation was found to be well approximated by a sum of two exponential functions in terms of martensite volume fraction. In the shift-skip model, the energy required for the partial transformation was obtained by shifting and skipping the energy required for the complete transformation, based on a microscopic transformation rule. Comparison of the calculated stress-strain loops for the complete and partial transformation cycles with experimental data and with other often used models was carried out. Result showed that the proposed model could capture the measured stress-strain loops well and much better than the other models.

Citation Download Citation

Tadashige Ikeda, Florin Andrei Nae, and Yuji Matsuzaki "Macroscopic constitutive model of shape memory alloys for partial transformation cycles", Proc. SPIE 5383, Smart Structures and Materials 2004: Modeling, Signal Processing, and Control, (26 July 2004); https://doi.org/10.1117/12.539463

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