Phase field simulations of coupled phase transformations in ferroelastic-ferroelastic nanocomposites

Bouville, Mathieu; Ahluwalia, Rajeev

doi:10.1103/physrevb.79.094110

Cited by 10 publications

(9 citation statements)

References 16 publications

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“…A separate study in NiTi, revealed that grains under 50 nm in diameter did not transform [15]. In contrast, increasing grain constraints have been shown to increase the complexity of martensite variants [16], and could lead to unique martensitic structures such as dot-like domains [17]. While recent dynamic TEM [18] and pulsed X-ray experiments [19] are providing information about the transformation with unprecedented resolution current experimental techniques lack the ability to characterize the nucleation and propagation of transformations in ultra-fine SMAs and significant questions remain unanswered.…”

Section: Introductionmentioning

confidence: 90%

Role of grain size on the martensitic transformation and ultra-fast superelasticity in shape memory alloys

et al. 2015

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a b s t r a c tWe use multi-million-atom molecular dynamics (MD) simulations with an embedded atom model potential parameterized for NiAl to study temperature-and stress-induced martensitic phase transformations in nanocrystalline shape memory alloys. Nucleation of the martensite phase occurs in the grain interiors and grows outward up to the point where further transformation is hindered by the constraints imposed by neighboring grains. Decreasing grain size inhibits the transformation process and the temperature-induced transformation is completely suppressed for samples with average grain sizes of 7.5 nm and less. Interestingly, mechanical loads can induce the martensitic transformation in samples with ultra-fine grains and, quite surprisingly, the sample with 7.5 nm grain size exhibits improved, ultra-fast, superelasticity as compared with its coarser grain counterparts. The simulations provide a picture of the processes that govern the performance and fundamental limits of nanocrystalline shape memory alloys with atomistic resolution.

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Section: Introductionmentioning

confidence: 90%

Role of grain size on the martensitic transformation and ultra-fast superelasticity in shape memory alloys

et al. 2015

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“…Analogous chessboard patterns have been observed and reproduced by PF in connection with diffusive alloy decomposition [22]. For displacive transformations, these ubiquitous structures [20] have also been obtained in two-dimensional PF calculations: very unstable, they are stabilized in small samples, but decay into more conventional laminatelike structures at large sizes [23]. We make here a first exploration of this physically important effect in three dimensions (3D) using PF-RP for an imposed deformation F(t) with α = 0.3.…”

mentioning

confidence: 52%

Phase-Field Reaction-Pathway Kinetics of Martensitic Transformations in a ModelFe3NiAlloy

et al. 2010

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A three-dimensional phase-field approach to martensitic transformations that uses reaction pathways in place of a Landau potential is introduced and applied to a model of Fe3Ni. Pathway branching involves an unbounded set of variants through duplication and rotations by the rotation point groups of the austenite and martensite phases. Path properties, including potential energy and elastic tensors, are calibrated by molecular statics. Acoustic waves are dealt with via a splitting technique between elastic and dissipative behaviors in a large-deformation framework. The sole free parameter of the model is the damping coefficient associated to transformations, tuned by comparisons with molecular dynamics simulations. Good quantitative agreement is then obtained between both methods.

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“…The weak formulation of Eqs. (26.1)-(26.3) and (27) are derived by multiplying the equations with weighing functions {Φ, U U U, Σ Σ Σ, Θ} and transforming them by using the integration by parts. Let X denote both the trial solution and weighting function spaces, which are assumed to be identical.…”

Section: Weak Formulationmentioning

confidence: 99%

A three-dimensional non-isothermal Ginzburg–Landau phase-field model for shape memory alloys

Dhote¹,

Fabrizio²,

Melnik³

et al. 2014

Modelling Simul. Mater. Sci. Eng.

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In this paper, a macroscopic three dimensional non-isothermal model is proposed to describe hysteresis phenomena and phase transformations in shape memory alloys (SMAs). The model is of phase-field type and is based on the Ginzburg-Landau theory. The hysteresis and phase transformations are governed by the kinetic phase evolution equation using the scalar order parameter, conservation laws of momentum and energy, and a non-linear coupling between stress, strain, and the order parameter in a differential form. One of the important features of the model is that the phase transformation is governed by the stress tensor as opposed to the transformation strain tensor typically used in the literature. The model takes into account different properties of austenite and martensite phases based on the compliance tensor as a function of the order parameter and stress. Representative numerical simulations on a SMA specimen reproduce hysteretic behaviors observed experimentally in the literature.

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Phase field simulations of coupled phase transformations in ferroelastic-ferroelastic nanocomposites

Cited by 10 publications

References 16 publications

Role of grain size on the martensitic transformation and ultra-fast superelasticity in shape memory alloys

Role of grain size on the martensitic transformation and ultra-fast superelasticity in shape memory alloys

Phase-Field Reaction-Pathway Kinetics of Martensitic Transformations in a ModelFe3NiAlloy

A three-dimensional non-isothermal Ginzburg–Landau phase-field model for shape memory alloys

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