Nucleation barriers at corners for cubic-to-tetragonal phase transformation

Peter Bella and Michael Goldman

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Submission date: 22. Nov. 2013
Pages: 11
published in: Proceedings of the Royal Society of Edinburgh / A, 145 (2015) 4, p. 715-724 
DOI number (of the published article): 10.1017/S0308210515000086
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Abstract:
We are interested in the energetic cost of a martensitic inclusion of volume V in austenite for the cubic-to-tetragonal phase transformation. In contrast with the work of [Knüpfer, Kohn, Otto: Comm. Pure Appl. Math. 66 (2013), no. 6, 867–904], we consider domain with a corner and obtain a better scaling law for the minimal energy (E_min min(V ^2∕3,V ^7∕9)). Our predictions are in a good agreement with physical experiments where nucleation of martensite is usually observed near the corners of the specimen.