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Erschienen in:
2015 | OriginalPaper | Buchkapitel
Temperature Induced Cubic-to-Tetragonal Transformations in Shape Memory Alloys Using a Phase-Field Model
verfasst von : R. Dhote, H. Gomez, R. Melnik, J. Zu
Erschienen in: Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science
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Abstract
Shape memory alloys (SMAs) exhibit hysteresis behaviors upon stress- and temperature-induced loadings. In this chapter, we focus on numerical simulations of microstructure evolution of cubic-to-tetragonal martensitic phase transformations in SMAs in 3D settings under the dynamic loading conditions. A phase-field (PF) model has been developed to capture coupled dynamic thermo-mechanical behavior of such SMA structures and the system of governing equations have been solved numerically using the isogeometric analysis. Temperature induced reverse and forward transformations have been applied to a cubic SMA specimen, starting with evolved accommodated martensitic microstructure. We have observed that during the forward transformation, the martensitic variants nucleate abruptly. The transient microstructures are aligned along \(\left[ 110 \right]\) planes, which is in accordance with the crystallographic theory and experimental results.