Non-affine deformation in microstructure selection in solids II: Elastoplastic theory for the dynamics of solid state transformations

Paul, Arya; Bhattacharya, Jayee; Sengupta, Surajit; Rao, Madan

doi:10.1088/0953-8984/20/36/365211

Cited by 14 publications

(24 citation statements)

References 27 publications

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“…We showed that the coupled dynamics of density fluctuations and elastic strain determined the microstructure of the growing nucleus. In this, and in a companion paper [8] we provide a more refined understanding of solid state nucleation and microstructure selection. Part I of a set of two papers deals with the results of our extensive MD simulations: we show that internal stresses generated during the transformation create local non-affine zones (NAZ) beyond a threshold stress.…”

Section: Introductionmentioning

confidence: 96%

Non-affine deformation in microstructure selection in solids: I. Molecular dynamics

Bhattacharya¹,

Paul²,

Sengupta³

et al. 2008

J. Phys.: Condens. Matter

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We study the nucleation dynamics and microstructure selection in a model two-dimensional solid undergoing a square to rhombic transformation, using coarse-grained molecular dynamics (MD) simulations. We find a range of microstructures depending on the depth of quench. The transformations are accompanied by the creation of transient and localized non-affine zones (NAZ), which evolve with the rapidly moving parent-product interface. These plastic regions are created beyond a threshold stress, at a rate proportional to the local stress. We show that the dynamics of NAZs determines the selection of microstructure, including the ferrite and martensite.

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Section: Introductionmentioning

confidence: 96%

Non-affine deformation in microstructure selection in solids: I. Molecular dynamics

Bhattacharya¹,

Paul²,

Sengupta³

et al. 2008

J. Phys.: Condens. Matter

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“…In this paper, we lend further support to this claim by investigating this problem from the point of view of a phenomenological elasto-plastic theory [7] of the square to oblique transformation. The elasto-plastic theory has been shown earlier to reproduce the qualitative features of the results of our MD simulations [5].…”

Section: Introductionmentioning

confidence: 59%

“…Our theory allows us to determine the microstructure and the overall shape of a solid undergoing a square to a general oblique lattice. Unlike previous work in this subject [9] we allow for the presence of non-affine, or plas-tic deformations [5,7].…”

Section: Elasto-plastic Theorymentioning

confidence: 99%

Plasticity and Reversibility of Structural Transitions in a Model Solid

Paul

Sengupta

Rao

2013

Icomat

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We formulate a phenomenological elasto-plastic theory to describe a solid undergoing a structural transition from a square (p4mm) to an oblique (p2) lattice in two dimensions. Within our theory, the components of the strain may be decomposed additively into separate elastic and plastic contributions. The plastic strain, produced when the local stress crosses a threshold, is governed by a phenomenological equation of motion. We investigate the dynamics of shape of an initially square solid as it is cycled through a transformation protocol consisting of (1) a quench across the transition (2) deformation by an external stress and finally (3) reverse transformation back to the parent state. We show that shape recovery at the end of this cycle depends on crucially on the presence of plasticity in components of the strain responsible for the transformation.PACS numbers:

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“…Recent advances in confocal imaging methods have resulted in a flurry of experimental work studying phase transformation kinetics of colloidal solids via confocal laser scanning microscopy(CLSM) [1,[33][34][35]. While there has been much theoretical work dedicated to studying solidsolid phase transformations [7][8][9][10][11][12][13][14]36], there has been no coherent comparison of the colloids experiments with theory.…”

Section: Introductionmentioning

confidence: 99%

Contrasting the dynamics of elastic and non-elastic deformations across an experimental colloidal Martensitic transition

et al. 2017

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We present a framework to segregate the roles of elastic and non-elastic deformations in the examination of real-space experiments of solid-solid Martensitic transitions. The Martensitic transformation of a bodycentred-tetragonal (BCT) to a body-centred-orthorhombic (BCO) crystal structure has been studied in a model system of micron-scale ionic microgel [1] colloids. Non-affine fluctuations, i.e., displacement fluctuations that do not arise from purely elastic (affine) deformations, are detected in particle configurations acquired from the experiment. Tracking these fluctuations serves as a highly sensitive tool in signaling the onset of the Martensitic transition and precisely locating particle rearrangements occurring at length scales of a few particle diameters. Particle rearrangements associated with non-affine displacement modes become increasingly favorable during the transformation process. The nature of the displacement fluctuation modes that govern the transformation are shown to be different from those predominant in an equilibrium crystal. We show that BCO crystallites formed through shear may, remarkably, co-exist with those resulting from local rearrangements within the same sample.

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Non-affine deformation in microstructure selection in solids II: Elastoplastic theory for the dynamics of solid state transformations

Cited by 14 publications

References 27 publications

Non-affine deformation in microstructure selection in solids: I. Molecular dynamics

Non-affine deformation in microstructure selection in solids: I. Molecular dynamics

Plasticity and Reversibility of Structural Transitions in a Model Solid

Contrasting the dynamics of elastic and non-elastic deformations across an experimental colloidal Martensitic transition

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