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arXiv · 1708.03286

Interaction of martensitic microstructures in adjacent grains

John M. Ball·Carsten Carstensen
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Abstract

It is often observed that martensitic microstructures in adjacent polycrystal grains are related. For example, micrographs of Arlt exhibit propagation of layered structures across grain boundaries in the cubic-to-tetragonal phase transformation in $\rm BaTiO_3$. Such observations are related to requirements of compatibility of the deformation at the grain boundary. Using a generalization of the Hadamard jump condition, this is explored in the nonlinear elasticity model of martensitic transformations for the case of a bicrystal with suitably oriented columnar geometry, in which the microstructure in both grains is assumed to involve just two martensitic variants, with a planar or non-planar interface between the grains.

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John M. Ball, Carsten Carstensen. 2017-08-10. Interaction of martensitic microstructures in adjacent grains. https://arxiv.org/abs/1708.03286

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