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

Melnik, R. V. N. and 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. ISSN 0927-0256

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.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2000 Elsevier Science B.V. All rights reserved. Published version deposited in accordance with the copyright policy of the publisher.
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 30 Nov 2007 11:47
Last Modified: 04 Dec 2013 02:50
Uncontrolled Keywords: centre manifold technique; copper-based shape memory alloys; Landau-devonshire phenomenology
Fields of Research : 09 Engineering > 0912 Materials Engineering > 091207 Metals and Alloy Materials
01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010399 Numerical and Computational Mathematics not elsewhere classified
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
URI: http://eprints.usq.edu.au/id/eprint/14039

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