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Starting from a phase-field description of the isothermal solidification of a dilute binary alloy, we establish a model where capillary waves of the solidification front interact with the diffusive concentration field of the solute. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Alexander L. Korzhenevskii , Richard Bausch , Rudi Schmitz

Hyperuniform states are an efficient way to fill up space for disordered systems. In these states the particle distribution is disordered at the short scale but becomes increasingly uniform when looked at large scales. Hyperuniformity…

Statistical Mechanics · Physics 2019-09-11 Gustavo Castillo , Nicolas Mujica , Nestor Sepulveda , Juan Carlos Sobarzo , Marcelo Guzman , Rodrigo Soto

Thermodynamic bulk phase diagrams have become the roadmap used by researchers to identify alloy compositions and process conditions that result in novel materials with tailored microstructures. Recent experimental studies show that changes…

Materials Science · Physics 2023-03-15 A. Tehranchi , S. Zhang , A. Zendegani , C. Scheu , T. Hickel , J. Neugebauer

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 resolve issues that have plagued reliable prediction of relative phase stability for solid-solutions and compounds. Due to its commercially important phase diagram, we showcase Al-Li system because historically density-functional theory…

Materials Science · Physics 2013-12-25 Aftab Alam , D. D. Johnson

The interface stability against small perturbations of the planar solid-liquid interface is considered analytically in linear approximation. Following the analytical procedure of Trivedi and Kurz (Trivedi R, Kurz W. Acta Metall…

Materials Science · Physics 2009-11-10 P. K. Galenko , D. A. Danilov

Topographical and diffuse interface reconfigurations occur with a change in the solidification rate. In this article we pursue the hypothesis that the interface configuration during solidification is determined by the rate of entropy…

Materials Science · Physics 2017-02-14 Yaw Delali Bensah , J. A. Sekhar

Polycrystalline thin films can be unstable with respect to island formation (agglomeration) through grooving where grain boundaries intersect the free surface and/or thin film-substrate interface. We develop a phase-field model to study the…

Materials Science · Physics 2007-05-23 Mathieu Bouville , Shenyang Hu , Long-Qing Chen , Dongzhi Chi , David J Srolovitz

Based on classical concept, solidification of alloys is a direct transition from liquid phase to solid phase, by which dendrites and dendritic segregation are produced. Through in-situ and real time morphology observation and XRD test…

Materials Science · Physics 2026-05-12 Xiaoping Ma , Dianzhong Li , Zhuo Zhao , Saichao Cao , Donghao Pei , Pei Wang , Yuxi Tao , Paixian Fu , Hongwei Liu , Xiuhong Kang

The search for effective methods to fabricate bulk single-phase quasicrystalline Al-Cu-Fe alloys is currently an important task. Crucial to solving this problem is to understand mechanisms of phase formation in this system. Here we study…

Chemical Physics · Physics 2020-01-08 L. V. Kamaeva , I. V. Sterkhova , V. I. Ladyanov , R. E. Ryltsev , N. M. Chtchelkatchev

Rapid solidification experiments on thin film aluminum samples reveal the presence of lattice orientation gradients within crystallizing grains. To study this phenomenon, a single-component phase-field crystal (PFC) model that captures the…

A continuum dynamical model is developed to determine the morphological and compositional instabilities on the free surface of heteroepitaxial alloy films in the absence of growth. We use linear stability analysis to study the early…

Statistical Mechanics · Physics 2009-11-07 Zhi-Feng Huang , Rashmi C. Desai

The approach of nonequilibrium evolution thermodynamics earlier offered is developed. It helps to describe the processes of defect formation within the adiabatic approximation. The basic equations system depends on the initial defects…

Materials Science · Physics 2015-10-23 A. V. Khomenko , D. S. Troshchenko , L. S. Metlov

This article presents a new phase-field formulation for non-equilibrium interface conditions in rapid phase transformations. With a particular way of defining concentration fields, the classical sharp and diffuse (thick) interface theories…

Materials Science · Physics 2023-04-03 Yue Li , Lei Wang , Junjie Li , Jincheng Wang , Zhijun Wang

We use a phase-field model to study the effect of confinement on dendritic growth, in a pure material solidifying in an undercooled melt, and in the directional solidification of a dilute binary alloy. Specifically, we observe the effect of…

Materials Science · Physics 2007-05-23 Badrinarayan P. Athreya , Jonathan A. Dantzig , Shan Liu , Rohit Trivedi

We simulate solidification in a narrow channel through the use of a phase-field model with an adaptive grid. In different regimes, we find that the solid can grow in fingerlike steady-state shapes, or become unstable, exhibiting unsteady…

Materials Science · Physics 2007-05-23 Mohsen Sabouri-Ghomi , Nikolas Provatas , Martin Grant

Quality control in additive manufacturing can be achieved through variation control of the quantity of interest (QoI). We choose in this work the microstructural microsegregation to be our QoI. Microsegregation results from the spatial…

The finite solid-liquid interface width in phase field models results in non-equilibrium effects, including solute trapping. Prior phase field modeling has shown that this extra degree of freedom, when compared to sharp-interface models,…

Materials Science · Physics 2023-04-07 Arnab Mukherjee , James A. Warren , Peter W. Voorhees

The kinetics of interfaces in alloy solidification pose a classic free boundary problem. This paper introduces an approach that amalgamates the distinctive characteristics of sharp and diffuse interface models. The motion of the diffuse…

Materials Science · Physics 2024-05-31 Chuanqi Zhu , Yuichiro Koizumi

We present a detailed benchmark comparing two state-of-the-art phase-field implementations for simulating alloy solidification under experimentally relevant conditions. The study investigates the directional solidification of Al-3wt%Cu…

Materials Science · Physics 2026-04-30 Jiefu Tian , David Montiel , Kaihua Ji , Trevor Lyons , Jason Landini , Katsuyo Thornton , Alain Karma