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Microstructures forming during ternary eutectic directional solidification processes have significant influence on the macroscopic mechanical properties of metal alloys. For a realistic simulation, we use the well established…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-05 Martin Bauer , Johannes Hötzer , Philipp Steinmetz , Marcus Jainta , Marco Berghoff , Florian Schornbaum , Christian Godenschwager , Harald Köstler , Britta Nestler , Ulrich Rüde

Phase-field models of microstructural pattern formation during alloy solidification are commonly solved numerically using the finite-difference method, which is ideally suited to carry out computationally efficient simulations on massively…

Materials Science · Physics 2022-02-17 Kaihua Ji , Amirhossein Molavi Tabrizi , Alain Karma

We present adaptive finite element simulations of dendritic and eutectic solidification in binary and ternary alloys. The computations are based on a recently formulated phase-field model that is especially appropriate for modelling…

Materials Science · Physics 2009-11-10 Denis Danilov , Britta Nestler

We develop a fully-coupled, fully-implicit approach for phase-field modeling of solidification in metals and alloys. Predictive simulation of solidification in pure metals and metal alloys remains a significant challenge in the field of…

Computational Engineering, Finance, and Science · Computer Science 2021-10-05 Supriyo Ghosh , Christopher K. Newman , Marianne M. Francois

We further develop a recently introduced phase-field model of rapid alloy solidification [Ji et al., PRL 2023]. This model utilizes enhanced solute diffusivity within the spatially diffuse interface region to quantitatively capture solute…

Materials Science · Physics 2025-08-11 Kaihua Ji , Mingwang Zhong , Alain Karma

Engineering alloys generally exhibit multi-phase microstructures. For simulating their microstructure evolution during solid-state phase transformation, CALPHAD-guided multi-phase-field models coupled with micro-mechanics have proven to be…

Materials Science · Physics 2023-01-05 Sourav Chatterjee , Daniel Schwen , Nele Moelans

Numerical simulations are used in this work to investigate aspects of microstructure and microsegregation during rapid solidification of a Ni-based superalloy in a laser powder bed fusion additive manufacturing process. Thermal modeling by…

We present a detailed derivation and thin interface analysis of a phase-field model that can accurately simulate microstructural pattern formation for low-speed directional solidification of a dilute binary alloy. This advance with respect…

Materials Science · Physics 2009-11-10 Blas Echebarria , Roger Folch , Alain Karma , Mathis Plapp

This study addresses microstructure selection mechanisms in rapid solidification, specifically targeting the transition from cellular/dendritic to planar interface morphologies under conditions relevant to additive manufacturing. We use a…

A phase-field formulation is introduced to simulate quantitatively microstructural pattern formation in alloys. The thin-interface limit of this formulation yields a much less stringent restriction on the choice of interface thickness than…

Materials Science · Physics 2016-08-31 Alain Karma

We present a computational method for the simulation of the solidification of multicomponent alloys in the sharp-interface limit. Contrary to the case of binary alloys where a fixed point iteration is adequate, we hereby propose a…

Computational Physics · Physics 2023-09-26 Daniil Bochkov , Tresa Pollock , Frederic Gibou

Phase-field models are widely employed to simulate microstructure evolution during processes such as solidification or heat treatment. The resulting partial differential equations, often strongly coupled together, may be solved by a broad…

Materials Science · Physics 2023-06-23 A. D. Boccardo , M. Tong , S. B. Leen , D. Tourret , J. Segurado

In this article, we combine casting experiments and quantitative simulations to present a novel multiscale modeling approach to predict local primary dendritic spacings in metallic alloys solidified in conditions relevant to industrial…

A broad range of computational models have been proposed to predict microstructure development during solidification processing but they have seldom been compared to each other on a quantitative and systematic basis. In this paper, we…

Materials Science · Physics 2022-11-08 S. M. Elahi , R. Tavakoli , I. Romero , D. Tourret

We optimize a numerical time-stabilization routine for the phase-field crystal (PFC) models of solidification. By numerical experiments, we showcase that our approach can improve the accuracy of underlying time integration schemes by a few…

Materials Science · Physics 2023-07-06 Maik Punke , Steven M. Wise , Axel Voigt , Marco Salvalaglio

We study spacing selection in directional solidification of Al-Cu alloys under transient growth conditions. New experimental results are presented which reveal that dendritic spacing versus solidification rate evolves in an almost step-wise…

Materials Science · Physics 2010-02-09 Morteza Amoorezaei , Sebastian Gurevich , Nikolas Provatas

A new diffuse interface model has been proposed in this study for simulating binary alloy solidification under universal cooling conditions, involving both equilibrium and non-equilibrium solute partitioning. Starting from the Gibbs-Thomson…

Materials Science · Physics 2023-09-22 Chuanqi Zhu , Yusuke Seguchi , Masayuki Okugawa , Yuichiro Koizumi

In the literature, two quite different phase-field formulations for the problem of alloy solidification can be found. In the first, the material in the diffuse interfaces is assumed to be in an intermediate state between solid and liquid,…

Materials Science · Physics 2011-11-23 Mathis Plapp

This paper presents an efficient and quantitative phase-field model for elastically heterogeneous alloys that ensures the two mechanical compatibilities$\unicode{x2014}$static and kinematic, in conjunction with chemical equilibrium within…

Materials Science · Physics 2023-01-05 Sourav Chatterjee , Daniel Schwen , Nele Moelans

We introduce a new phase-field formulation of rapid alloy solidification that quantitatively incorporates nonequilibrium effects at the solid-liquid interface over a very wide range of interface velocities. Simulations identify a new…

Materials Science · Physics 2023-01-16 Kaihua Ji , Elaheh Dorari , Amy J. Clarke , Alain Karma
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