Kinetic Wetting of a Moving Planar Defect by a New Phase

Korzhenevskii, Alexander L.; Bausch, Richard; Schmitz, Rudi

doi:10.1103/physrevlett.91.236101

Cited by 7 publications

(14 citation statements)

References 11 publications

(20 reference statements)

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“…This theory was applied in [8,59,63,64] to solutions of some material problems, including revealing an athermal hysteresis which depends on the ratio of the phase interface width and the magnitude of the Burgers vector of a dislocation, finding a mechanism of semicoherent interface motion, dislocation inheritance by propagating phase interface, and the temperature-induced nucleation, growth, and arrest of M plate in an A bicrystal. Some earlier PFAs on interaction of PTs and discrete dislocations include analytical [65] and numerical [66,67] solutions for M nucleation on dislocations, which were introduced through their stationary stress fields, or which belong to the moving phase interface only [68] and consequently do not involve phase field equations for dislocations and their inheritance during PT.…”

Section: Introductionmentioning

confidence: 99%

Phase field simulations of plastic strain-induced phase transformations under high pressure and large shear

Javanbakht

Levitas

2016

Phys. Rev. B

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Pressure and shear strain-induced phase transformations (PTs) in a nanograined bicrystal at the evolving dislocations pile-up have been studied utilizing phase field approach (PFA).The complete system of PFA equations for coupled martensitic PT, dislocation evolution, and mechanics at large strains is presented and solved using finite element method (FEM). The nucleation pressure for high pressure phase (HPP) under hydrostatic condition near single dislocation was determined to be 15.9 GPa. Under shear, a dislocations pile-up that appears in the left grain creates strong stress concentration near its tip and significantly increases the local thermodynamic driving force for PT, which causes nucleation of HPP even at zero pressure. At pressures of 1.59 and 5 GPa and shear, a major part of a grain transforms to HPP.When dislocations are considered in the transforming grain as well, they relax stresses and lead to a slightly smaller stationary HPP region than without dislocations. However, they strongly suppress nucleation of HPP and require larger shear. Unexpectedly, the stationary HPP morphology is governed by the simplest thermodynamic equilibrium conditions, which do not contain contributions from plasticity and surface energy. These equilibrium conditions are fulfilled either for the majority of points of phase interfaces or (approximately) in terms of stresses averaged over the HPP region or for the entire grain, despite the strong heterogeneity of stress fields. The major part of the driving force for PT in the stationary state is due to deviatoric stresses rather than pressure. While the least number of dislocations in a pile-up to nucleate HPP linearly decreases with increasing the applied pressure, the least corresponding shear strain depends on pressure nonmonotonously. Surprisingly, the ratio of kinetic coefficients for PT and dislocations affect stationary solution and nanostructure. Consequently, there are multiple stationary solutions under the same applied load and PT and deformation processes are path dependent. With an increase in the size of the sample by a factor of two, 2 no effect was found on the average pressure and shear stress and HPP nanostructure, despite the different number of dislocations in a pile-up. Obtained results represent a nanoscale basis for understanding and description of PTs under compression and shear in rotational diamond anvil cell and high pressure torsion.

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Section: Introductionmentioning

confidence: 99%

Phase field simulations of plastic strain-induced phase transformations under high pressure and large shear

Javanbakht

Levitas

2016

Phys. Rev. B

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“…10,11 There are a few simplified PFA approaches to study the interaction between PT and dislocations. There are a number of analytical treatments of M nucleation on dislocations based on PFA to PT, 12 followed by numerical 13 simulations. Dislocations are introduced through their stationary stress field or are located at the moving phase interface only 14 and therefore do not require additional PFA equations.…”

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confidence: 99%

Phase field approach to interaction of phase transformation and dislocation evolution

Levitas¹,

Javanbakht²

2013

Applied Physics Letters

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Phase field approach to coupled evolution of martensitic phase transformations (PTs) and dislocation is developed. A fully geometrically nonlinear formulation is utilized. The finite element method procedure is developed and applied to study the hysteretic behavior and propagation of an austenite (A)–martensite (M) interface with incoherency dislocations, the growth and arrest of martensitic plate for temperature-induced PT, and the evolution of phase and dislocation structures for stress-induced PT. A similar approach can be developed for the interaction of dislocations with twins and diffusive PTs described by Cahn-Hilliard theory.

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“…There are a number of analytical treatments of M nucleation on dislocations based on PFA to PT (Korzhenevskii et al (2003)), followed by numerical (Reid et al (1998); Wang and Khachaturyan (2006)) simulations. Dislocations are introduced through their stationary stress field or are located at the moving phase interface only (Kundin et al (2011a)) and therefore do not require additional PFA equations.…”

Section: Introductionmentioning

confidence: 99%

Interaction between phase transformations and dislocations at the nanoscale. Part 1. General phase field approach

Levitas

Javanbakht

2015

Journal of the Mechanics and Physics of Solids

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Kinetic Wetting of a Moving Planar Defect by a New Phase

Cited by 7 publications

References 11 publications

Phase field simulations of plastic strain-induced phase transformations under high pressure and large shear

Phase field simulations of plastic strain-induced phase transformations under high pressure and large shear

Phase field approach to interaction of phase transformation and dislocation evolution

Interaction between phase transformations and dislocations at the nanoscale. Part 1. General phase field approach

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