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A Model of Compatible Twin Patterns in Shape Memory Alloys

[+] Author Affiliations
N. T. Tsou, J. E. Huber

University of Oxford, Oxford, UK

Y. C. Shu

National Taiwan University, Taipei, Taiwan

Paper No. SMASIS2011-4954, pp. 289-295; 7 pages
  • ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
  • ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, Volume 1
  • Scottsdale, Arizona, USA, September 18–21, 2011
  • ISBN: 978-0-7918-5471-6
  • Copyright © 2011 by ASME


A sharp interface model is developed to allow rapid discovery of exactly compatible or averagely compatible laminate twin patterns in a cubic-orthorhombic shape memory alloy system. Given an imposed strain state, the method finds a corresponding exactly compatible twin structure if one exists; otherwise, the method produces an averagely compatible solution. Two cases are considered: The first case allows austenite and martensite phases to be arbitrarily mixed. The second is an essentially flat austenite-martensite phase boundary, with an exactly compatible martensite laminate on one side. The results show several well-known configurations and also many new structures. A full search reveals the routes in strain space along which the two-phase structure can continuously evolve. The influence of the middle eigenvalue of the martensite transformation strain on twin patterns is explored.

Copyright © 2011 by ASME



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