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arXiv · 0706.3321

Elastoplastic model for the dynamics of solid-solid transformations : role of non-affine deformation in microstructure selection

Jayee Bhattacharya·Arya Paul·Surajit Sengupta·Madan Rao
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Abstract

We study the nucleation dynamics of a model solid state transformation and the criterion for microstructure selection using a molecular dynamics (MD) simulation. Our simulations show a range of microstructures depending on the depth of quench. We closely follow the dynamics of the solid and find that transient {\em non-affine zones} (NAZ) are created at and evolve with the rapidly moving transformation front. The dynamics of these plastic regions determines the selection of microstructure. We formulate an {\it elastoplastic model} which couples the elastic strain to the non-affine deformation, and recover all the qualitative features of the MD simulation. Using this model, we construct a dynamical phase diagram for microstructure selection, in addition to making definite testable predictions.

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Jayee Bhattacharya, Arya Paul, Surajit Sengupta, Madan Rao. 2008-03-01. Elastoplastic model for the dynamics of solid-solid transformations : role of non-affine deformation in microstructure selection. https://arxiv.org/abs/0706.3321

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