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Non-affine fields in solid-solid transformations: The structure and stability of a product droplet

Paul, A and Sengupta, S and Rao, M (2014) Non-affine fields in solid-solid transformations: The structure and stability of a product droplet. Journal of Physics Condensed Matter, 26 (1).

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Abstract

We describe the microstructure, morphology, and dynamics of growth of a droplet of martensite nucleating in a parent austenite during a solid–solid transformation, using a Landau theory written in terms of both conventional affine elastic deformations and non-affine deformations. Non-affineness, phgr, serves as a source of strain incompatibility and screens long-ranged elastic interactions. It is produced wherever the local stress exceeds a threshold and anneals diffusively thereafter. Using a variational calculation, we find three types of stable solution (labeled I, II, and III) for the structure of the product droplet, depending on the stress threshold and the scaled mobilities of phgr parallel and perpendicular to the parent–product interface.

Item Type: Article
Additional Information: Copyright of this article belongs to IOP publishing
Uncontrolled Keywords: Dynamical phase diagrams; Elastic interactions; Non-affine deformation; Solid-solid transformations; Stable solutions; Strain incompatibility; Stress thresholds; Variational calculation, Microstructure; Variational techniques, Drop breakup
Subjects: Geophysics
Depositing User: INCOIS Library
Date Deposited: 17 Jul 2014 06:37
Last Modified: 17 Jul 2014 06:37
URI: http://moeseprints.incois.gov.in/id/eprint/621

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