Journal
JOURNAL OF MATERIALS SCIENCE
Volume 54, Issue 23, Pages 14400-14413Publisher
SPRINGER
DOI: 10.1007/s10853-019-03927-5
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Funding
- National Natural Science Foundation of China [51575478, 61571007]
- National Sciences and Engineering Research Council (NSERC) of Canada
- Canada Research Chair Program
- Spanish Ministry of Science, Innovation and Universities through the Agencia Estatal de Investigacion (AEI) BCAM Severo Ochoa excellence accreditation [SEV-2017-0718]
- BERC 2018-2021 program
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Microstructures play an important role in the research on shape memory alloys (SMA). By using mathematical modeling tools to study microstructures, it is possible to predict the behaviors of these materials under applied fields. In the current paper, a thermo-mechanical model is proposed to simulate the microstructure of a SMA rod with both fixed and impact boundary conditions via Legendre wavelets collocation method. Because of the good performance of Legendre wavelets basis, this method shows excellent properties in both precision and stability. A detailed numerical algorithm is given, and the backward differentiation formula is employed to perform all the simulations in the current paper. Computational simulations are carried out to study the stress-induced phase transformation. The dynamics of microstructure evolution, presented at different temperatures, is well captured by our developed technique.
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