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SUMMARY:Highly irregular microstructures and $T_N$ configurations - John B
 all (Heriot-Watt University)
DTSTART:20250819T103000Z
DTEND:20250819T111500Z
UID:TALK234721@talks.cam.ac.uk
DESCRIPTION:Remarkable martensitic microstructures are observed in the all
 oy \\Tn\, which undergoes a cubic to orthorhombic transformation with six 
 martensitic variants $\\mathbf U_i=\\mathbf U_i^T>0$ having middle eigenva
 lue $\\lambda_2(\\mathbf U_i)$ 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 $\\math
 bf 1$. This set of 12 matrices has no rank-one connections. &nbsp\;We atte
 mpt 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 Por
 ta.
LOCATION:Seminar Room 1\, Newton Institute
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