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Title: Non-affine fields in solid-solid transformations: the structure and stability of a product droplet.
Authors: Paul, A.
Sengupta, Surajit
Rao, Madan
Issue Date: Jan-2014
Publisher: IOP Publishing Ltd.
Citation: Journal of Physics: Condensed Matter, 2014, Vol.26, p015007
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. The profile of the non-affine field phgr is different in these three solutions: I is characterized by a vanishingly small phgr, II admits large values of phgr localized in regions of high stress within the parent–product interface, and III is a structure in which phgr completely wets the parent–product interface. The width l and size W of the twins follow the relation in solution I; this relation does not hold for II or III. We obtain a dynamical phase diagram featuring these solutions, and argue that they represent specific solid-state microstructures
Description: Restricted Access. An open-access version is available at (one of the alternative locations)
ISSN: 0953-8984
1361-648X (Online)
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Copyright: 2014 IOP Publishing Ltd.
Appears in Collections:Research Papers (TP)

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