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Math Department Colloquium
Mathematical and Computational Models for Structural Phase
Transformation, Metastabilty, and Microstructure
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Structural phase transformation, metastability, and microstructure offer great challenges to the development of mathematical models, analysis, and computation. I will present some solutions to these problems in the context of symmetry-breaking structural phase transformations (such as the cubic to orthorhombic transformation). Fine scale geometric patterns formed by the variants of the low symmetry phase are a path by which the transformation from the high symmetry phase can take place. Mathematical analysis of models using geometrically nonlinear elasticity theory have provided a tool to discover and numerically compute the structure of these patterns. I will present several multiscale methods and the different metastable states that they compute. |