Geometric compatibility, quasiconvexity and phase transitions
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Remarkable experimental observations of H. Seiner, in which austenite is nucleated in martensite by localized heating in a CuAlNi single crystal, clearly demonstrate the important role of geometric compatibility between phases in the nucleation process. This talk proposes an explanation for the experimental observations in terms of quasiconvexity conditions in the interior and the boundary of a bar-shaped domain. This is joint work with John Ball.
This talk is part of the Partial Differential Equations seminar series.
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