Computing dynamics of copper-based SMA via center manifold reduction of 3D models
Article
Article Title | Computing dynamics of copper-based SMA via center manifold reduction of 3D models |
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ERA Journal ID | 4885 |
Article Category | Article |
Authors | Melnik, R. V. N. (Author), Roberts, A. J. (Author) and Thomas, K. A. (Author) |
Journal Title | Computational Materials Science |
Journal Citation | 18 (3/4), pp. 255-268 |
Number of Pages | 14 |
Year | 2000 |
Place of Publication | Amsterdam, Netherlands |
ISSN | 0927-0256 |
Web Address (URL) | http://www.sciencedirect.com/science/article/pii/S092702560000104X |
Abstract | In this work, we present a reduction procedure for 3D models describing phase transformations in copper-based shape memory alloys (SMAs) and develop a robust numerical algorithm for the computational analysis of thin single-crystal slabs of these alloys. Starting from a general Landau-type 3D model for the SMA dynamics we have developed a new mathematical 'slow manifold' model that allows us to describe effectively the main features of the thermomechanical behaviour of CuAlNi alloys. Results of the mathematical modelling of the thermomechanical fields in CuAlNi SMAs are discussed with numerical examples. |
Keywords | centre manifold technique; copper-based shape memory alloys; Landau-devonshire phenomenology |
ANZSRC Field of Research 2020 | 401607. Metals and alloy materials |
490399. Numerical and computational mathematics not elsewhere classified | |
Public Notes | © 2000 Elsevier Science B.V. All rights reserved. |
Byline Affiliations | Commonwealth Scientific and Industrial Research Organisation (CSIRO), Australia |
Department of Mathematics and Computing | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q061z/computing-dynamics-of-copper-based-sma-via-center-manifold-reduction-of-3d-models
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