Thermodynamic constitutive model for gradual phase transformation of SMA materials

Dimitris C. Lagoudas; Zhonghe Bo; Abhijit Bhattacharyya

doi:10.1117/12.240824

31 May 1996 Thermodynamic constitutive model for gradual phase transformation of SMA materials

Dimitris C. Lagoudas, Zhonghe Bo, Abhijit Bhattacharyya

Proceedings Volume 2715, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures; (1996) https://doi.org/10.1117/12.240824
Event: 1996 Symposium on Smart Structures and Materials, 1996, San Diego, CA, United States

Abstract

A thermally induced phase transformation in a Shape Memory Alloy (SMA) polycrystal occurs gradually over a range of temperatures unlike the first-order transition (at a single temperature) of a SMA monocrystal. This spread in transformation temperatures is believed to be caused by such factors as material inhomogeneities and internal stresses in the polycrystal. Taking a recently proposed thermodynamic model by Bo and Lagoudas for the Two-Way Memory Effect of SMA materials as a starting point, we extend it to account for the presence of initial heterogeneities, by introducing a statistical distribution in the Gibbs free energy function. The extended theory is then used as a basis to correlate strain recovery vs. temperature measurements from thermally induced cyclic phase transformation in untrained polycrystalline wires.

Citation Download Citation

Dimitris C. Lagoudas, Zhonghe Bo, and Abhijit Bhattacharyya "Thermodynamic constitutive model for gradual phase transformation of SMA materials", Proc. SPIE 2715, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures, (31 May 1996); https://doi.org/10.1117/12.240824

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