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Article Dans Une Revue Proceedings of the Royal Society of Edinburgh: Section A, Mathematics Année : 2015

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

Résumé

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 ($E_{min} \sim \min(V^{2/3},V^{7/9})$). Our predictions are in a good agreement with physical experiments where nucleation of martensite is usually observed near the corners of the specimen.
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hal-00907944 , version 1 (22-11-2013)

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Peter Bella, Michael Goldman. Nucleation barriers at corners for cubic-to-tetragonal phase transformation. Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2015. ⟨hal-00907944⟩
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