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Interaction of martensitic microstructures in adjacent grains

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arxiv 1708.03286 v1 pith:FBTIYXGR submitted 2017-08-10 cond-mat.mtrl-sci

classification cond-mat.mtrl-sci
keywords grainsmartensiticadjacentgrainmicrostructuresrelatedacrossarlt
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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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  1. Compatibility of Martensitic Microstructures in Polycrystals

    cond-mat.mtrl-sci 2026-07 unverdicted novelty 7.0 of 10

    Simple zero-energy laminates are compatible across grain boundaries only on a measure-zero set of normals and rotations for cubic-to-tetragonal martensite, and new upper bounds are proved for the Taylor set.

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