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二元合金空间制造的相场模型

A Phase-Field Model for In-Space Manufacturing of Binary Alloys.

作者信息

Ghosh Manoj, Hendy Muhannad, Raush Jonathan, Momeni Kasra

机构信息

Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824, USA.

Department of Mechanical Engineering, University of Alabama, Tuscaloosa, Al 35487, USA.

出版信息

Materials (Basel). 2022 Dec 31;16(1):383. doi: 10.3390/ma16010383.

DOI:10.3390/ma16010383
PMID:36614722
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9822391/
Abstract

The integrity of the final printed components is mostly dictated by the adhesion between the particles and phases that form upon solidification, which is a major problem in printing metallic parts using available In-Space Manufacturing (ISM) technologies based on the Fused Deposition Modeling (FDM) methodology. Understanding the melting/solidification process helps increase particle adherence and allows to produce components with greater mechanical integrity. We developed a phase-field model of solidification for binary alloys. The phase-field approach is unique in capturing the microstructure with computationally tractable costs. The developed phase-field model of solidification of binary alloys satisfies the stability conditions at all temperatures. The suggested model is tuned for Ni-Cu alloy feedstocks. We derived the Ginzburg-Landau equations governing the phase transformation kinetics and solved them analytically for the dilute solution. We calculated the concentration profile as a function of interface velocity for a one-dimensional steady-state diffuse interface neglecting elasticity and obtained the partition coefficient, k, as a function of interface velocity. Numerical simulations for the diluted solution are used to study the interface velocity as a function of undercooling for the classic sharp interface model, partitionless solidification, and thin interface.

摘要

最终打印部件的完整性主要取决于凝固时形成的颗粒与相之间的附着力,这是使用基于熔融沉积建模(FDM)方法的现有太空制造(ISM)技术打印金属部件时的一个主要问题。了解熔化/凝固过程有助于提高颗粒附着力,并能够生产出具有更高机械完整性的部件。我们开发了一种二元合金凝固的相场模型。相场方法在以可计算的成本捕捉微观结构方面具有独特性。所开发的二元合金凝固相场模型在所有温度下都满足稳定性条件。所建议的模型针对镍 - 铜合金原料进行了调整。我们推导了控制相变动力学的金兹堡 - 朗道方程,并针对稀溶液进行了解析求解。对于忽略弹性的一维稳态扩散界面,我们计算了作为界面速度函数的浓度分布,并得到了作为界面速度函数的分配系数k。对于稀溶液的数值模拟用于研究经典尖锐界面模型、无分配凝固和薄界面情况下界面速度与过冷度的函数关系。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/f75a2e6f3a66/materials-16-00383-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/e47d08e9c072/materials-16-00383-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/351ddf953202/materials-16-00383-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/7c7eb089db26/materials-16-00383-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/7f69cad4cee7/materials-16-00383-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/94695372d569/materials-16-00383-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/96d716ea7b7d/materials-16-00383-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/a029e304add5/materials-16-00383-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/71fe5c506442/materials-16-00383-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/f75a2e6f3a66/materials-16-00383-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/e47d08e9c072/materials-16-00383-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/351ddf953202/materials-16-00383-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/7c7eb089db26/materials-16-00383-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/7f69cad4cee7/materials-16-00383-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/94695372d569/materials-16-00383-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/96d716ea7b7d/materials-16-00383-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/a029e304add5/materials-16-00383-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/71fe5c506442/materials-16-00383-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f1d/9822391/f75a2e6f3a66/materials-16-00383-g009.jpg

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本文引用的文献

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A phase-field approach to nonequilibrium phase transformations in elastic solids via an intermediate phase (melt) allowing for interface stresses.一种通过考虑界面应力的中间相(熔体)来研究弹性固体中非平衡相变的相场方法。
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