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.
- Aerospace Division
A Model of Compatible Twin Patterns in Shape Memory Alloys
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Tsou, NT, Huber, JE, & Shu, YC. "A Model of Compatible Twin Patterns in Shape Memory Alloys." Proceedings of the 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. pp. 289-295. ASME. https://doi.org/10.1115/SMASIS2011-4954
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