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Department of Applied Mathematics and Theoretical Physics

Remarkable martensitic microstructures are observed in the alloy \Tn, which undergoes a cubic to orthorhombic transformation with six martensitic variants $\mathbf U_i=\mathbf U_i^T>0$ having middle eigenvalue $\lambda_2(\mathbf U_i)$ very close to 1. Assuming that $\lambda_2(\mathbf U_i)=1$ there are exactly 12 matrices in the set of energy wells $\bigcup_{i=1}^6SO(3)\mathbf U_i$ that are rank-one connected to $\mathbf 1$. This set of 12 matrices has no rank-one connections.  We attempt to understand the observed microstructures by studying gradient Young measures, exact gradients and $T_N$-configurations supported on these 12 matrices. This is joint work with Tomonari Inamura and Francesco Della Porta.

Further information

Time:

19Aug
Aug 19th 2025
11:30 to 12:15

Venue:

Seminar Room 1, Newton Institute

Speaker:

John Ball (Heriot-Watt University)

Series:

Isaac Newton Institute Seminar Series