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MiS Preprint
107/2013

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

Peter Bella and Michael Goldman

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

Received:
Nov 22, 2013
Published:
Nov 26, 2013

Related publications

inJournal
2015 Repository Open Access
Peter Bella and Michael Goldman

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

In: Proceedings of the Royal Society of Edinburgh / A, 145 (2015) 4, pp. 715-724