Efficient numerical algorithm for multiphase field simulations

Vedantam, Srikanth; Patnaik, B.S.V.

doi:10.1103/physreve.73.016703

Cited by 122 publications

(60 citation statements)

References 17 publications

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“…(15). To solve this numerical difficulty, we adopt the sparse data structure technique proposed by Gruber et al (2006) and Vedantam and Patnaik (2006) to reduce the effective N g considered for each PF node. It also needs to be pointed out that the PF simulation does not need to reside on the same computational grid as in FFT-EVP, owing to the different length scales of the corresponding physical processes as indicated in Fig.…”

Section: Phase-field Modelmentioning

confidence: 99%

An integrated full-field model of concurrent plastic deformation and microstructure evolution: Application to 3D simulation of dynamic recrystallization in polycrystalline copper

Zhao

Low

Wang

et al. 2016

International Journal of Plasticity

103

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Many time-dependent deformation processes at elevated temperatures produce significant concurrent microstructure changes that can alter the mechanical properties in a profound manner. Such microstructure evolution is usually absent in mesoscale deformation models and simulations. Here we present an integrated full-field modeling scheme that couples the mechanical response with the underlying microstructure evolution. As a first demonstration, we integrate a fast Fourier transform-based elasto-viscoplastic (FFT-EVP) model with a phase-field (PF) recrystallization model, and carry out three-dimensional simulations of dynamic recrystallization (DRX) in polycrystalline copper. A physics-based coupling between FFT-EVP and PF is achieved by (1) adopting a dislocation-based constitutive model in FFT-EVP, which allows the predicted dislocation density distribution to be converted to a stored energy distribution and passed to PF, and (2) implementing a stochastic nucleation model for DRX. Calibrated with the experimental DRX stress-strain curves, the integrated model is able to deliver full-field mechanical and microstructural information, from which quantitative description and analysis of DRX can be achieved. It is suggested that the initiation of DRX occurs significantly earlier than previous predictions, due to heterogeneous deformation. DRX grains are revealed to form at both grain boundaries and junctions (e.g., quadruple junctions) and tend to grow in a wedge-like fashion to maintain a triple line (not necessarily in equilibrium) with old grains. The resulting stress redistribution due to strain compatibility is found to have a profound influence on the subsequent dislocation evolution and softening.

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Section: Phase-field Modelmentioning

confidence: 99%

An integrated full-field model of concurrent plastic deformation and microstructure evolution: Application to 3D simulation of dynamic recrystallization in polycrystalline copper

Zhao

Low

Wang

et al. 2016

International Journal of Plasticity

103

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“…Active parameter tracking [7,8] is employed to reduce the computational expense of the phase field grain-growth model. Each order parameter is only stored where it is above 1 × 10 −6 ; otherwise the order parameter is assumed to be zero.…”

Section: Phase Field Modelmentioning

confidence: 99%

Simulating recrystallization in titanium using the phase field method

Gentry

Thornton

2015

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract. Integrated computational materials engineering (ICME) links physics-based models to predict performance of materials based on their processing history. The recrystallization phase field model is developed and parameterized for commercially pure titanium. Stored energy and nucleation of dislocation-free grains are added into a phase field grain-growth model. A two-dimensional simulation of recrystallization in titanium at 800°C was performed; the recrystallized volume fraction was measured from the simulated microstructures. Fitting the recrystallized volume fraction to the Avrami equation gives the time exponent n as 1.8 and the annealing time to reach 50% recrystallization (t0.5) as 71 s. As expected, the microstructure evolves faster when driven by stored energy than when driven by grain boundary energy. IntroductionIntegrated computational materials engineering (ICME) is crucial in advancing material design and optimization. Linking models together will enable simulated parametric studies across length scales, incorporating microstructure into larger-scale component analysis. For example, simulations of static recrystallization are needed for the processing history of metals to be used in microstructural mechanical behavior simulations. As such, successful ICME requires accurate physics-based simulations that predict realistic microstructures.When metals undergo plastic deformation, a network of dislocations is formed within the microstructure. Increasing the applied stress provides an additional driving force for dislocation motion and creates more dislocations. The increased dislocation density results in a stored energy (f stored ) within the microstructure, which is approximated as [1]

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“…Our phase-transformation model uses a Gillespie cellular automata (GCA) approach that combines thermodynamic features of rate-equation approaches 15 with elements from probabilistic cellular automata (PCA) models 16,17 and phasefield models; 18,19 in addition, it uses the Gillespie algorithm 20 for efficient time-stepping. Our GCA model has been previously described in detail 21 and in summary considers a homogeneous, isotropic material in a square lattice where the state of the material is described through a set of points in the lattice that can be either crystalline or amorphous.…”

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confidence: 99%

Threshold switching via electric field induced crystallization in phase-change memory devices

Diosdado

Ashwin

Koháry

et al. 2012

Applied Physics Letters

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Low temperature direct wafer bonding of GaAs to Si via plasma activation Appl. Phys. Lett. 102, 054107 (2013) A programmable ferroelectric single electron transistor Appl. Phys. Lett. 102, 053505 (2013) Spatially and frequency-resolved monitoring of intradie capacitive coupling by heterodyne excitation infrared lockin thermography Appl. Phys. Lett. 102, 054103 (2013) One-shot current conserving quantum transport modeling of phonon scattering in n-type double-gate field-effecttransistors Appl. Phys. Lett. 102, 013508 (2013) Additional information on Appl. Phys. Lett.

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Efficient numerical algorithm for multiphase field simulations

Cited by 122 publications

References 17 publications

An integrated full-field model of concurrent plastic deformation and microstructure evolution: Application to 3D simulation of dynamic recrystallization in polycrystalline copper

An integrated full-field model of concurrent plastic deformation and microstructure evolution: Application to 3D simulation of dynamic recrystallization in polycrystalline copper

Simulating recrystallization in titanium using the phase field method

Threshold switching via electric field induced crystallization in phase-change memory devices

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