A phenomenological model for thermally-induced hysteresis in polycrystalline shape memory alloys with internal loops. (May 2022)

• Record Type: Journal Article
• Authors: Han, Yuxiang; Du, Haoyuan; Wang, Linxiang; Melnik, Roderick
• Is Part Of: Journal of intelligent material systems and structures. Volume 33:Number 9(2022)
• Page Start: 1170
• Page End: 1181
• Publication Date: 2022-05
• Subjects: Shape memory alloy -- Landau theory -- phase transformation -- thermally-induced hysteresis -- internal loops; Smart materials -- Periodicals; Intelligent control systems -- Periodicals; Artificial intelligence -- Periodicals; Matériaux intelligents -- Périodiques; Commande intelligente -- Périodiques; Intelligence artificielle -- Périodiques; 620.11
• DOI: 10.1177/1045389X211048228
• Languages: English
• ISSNs: 1045-389X

Abstract

In the current study, a 1-D phenomenological model is constructed to capture the temperature-induced hysteretic response in polycrystalline shape memory alloys (SMAs). The martensitic and austenitic transformations are regarded as the first-order transitions. A differential single-crystal model is formulated on the basis of Landau theory. It is assumed that the transformation temperatures follow the normal distribution among the grains due to the anisotropic stress field developed in the material. The polycrystalline hysteretic response is expressed as the integration of single-crystal responses. Besides, the prediction strategy for incomplete transitions is presented, and the first-order reversal curves are obtained via density reassignment. The proposed model is numerically implemented for validation. Comparisons between the modeling results and the experimental ones demonstrate the capability of the proposed model in addressing the hysteresis in thermally-induced phase transformations.