Computing dynamics of copper-based SMA via center manifold reduction of 3D models

Article


Melnik, R. V. N., Roberts, A. J. and Thomas, K. A.. 2000. "Computing dynamics of copper-based SMA via center manifold reduction of 3D models." Computational Materials Science. 18 (3/4), pp. 255-268.
Article Title

Computing dynamics of copper-based SMA via center manifold reduction of 3D models

ERA Journal ID4885
Article CategoryArticle
AuthorsMelnik, R. V. N. (Author), Roberts, A. J. (Author) and Thomas, K. A. (Author)
Journal TitleComputational Materials Science
Journal Citation18 (3/4), pp. 255-268
Number of Pages14
Year2000
Place of PublicationAmsterdam, Netherlands
ISSN0927-0256
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.

Keywordscentre manifold technique; copper-based shape memory alloys; Landau-devonshire phenomenology
ANZSRC Field of Research 2020401607. Metals and alloy materials
490399. Numerical and computational mathematics not elsewhere classified
Public Notes

© 2000 Elsevier Science B.V. All rights reserved.
Published version deposited in accordance with the copyright policy of the publisher.

Byline AffiliationsCommonwealth Scientific and Industrial Research Organisation (CSIRO), Australia
Department of Mathematics and Computing
Institution of OriginUniversity of Southern Queensland
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