The asymptotic behavior for a binary alloy in energy and material science: The unified method and its applications

IF 13 1区 工程技术 Q1 ENGINEERING, MARINE
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引用次数: 0

Abstract

The Cahn–Hilliard system was proposed to the first time by Chan and Hilliard in 1958. This model (or system of equations) has intrinsic participation energy and materials sciences and depicts significant characteristics of two phase systems relating to the procedures of phase separation when the temperature is constant. For instance, it can be noticed when a binary alloy (“Aluminum + Zinc” or “Iron + Chromium”) is cooled down adequately. In this case, partially or totally nucleation (nucleation means the appearance of nuclides in the material) is observed: the homogeneous material in the initial state gradually turns into inhomogeneous, giving rise to a very accurate dispersive microstructure. Next, when the time scale is slower the microstructure becomes coarse. In this work, to the first time, the unified method is presented to investigate some physical interpretations for the solutions of the Cahn–Hilliard system when its coefficients varying with time, and to show how phase separation of one or two components and their concentrations occurs dynamically in the system. Finally, 2D and 3D plots are introduced to add more comprehensive study which help to understand the physical phenomena of this model. The technique applied in this analysis is powerful and efficient, as evidenced by the computational work and results. This technique can also solve a large number of higher-order evolution equations.

二元合金在能量与材料科学中的渐近行为:统一方法及其应用
Cahn-Hilliard 系统由 Chan 和 Hilliard 于 1958 年首次提出。该模型(或方程系统)与能源和材料科学有内在联系,描述了温度恒定时与相分离过程有关的两相系统的重要特征。例如,当二元合金("铝+锌 "或 "铁+铬")充分冷却时,就会出现这种情况。在这种情况下,可以观察到部分或完全的成核现象(成核是指材料中出现核素):初始状态下的均质材料逐渐变成非均质,从而产生非常精确的分散微观结构。接下来,当时间尺度变慢时,微观结构会变得粗糙。在这项工作中,首次提出了统一的方法来研究 Cahn-Hilliard 系统的系数随时间变化时,其解的一些物理解释,并说明了系统中如何动态地发生一种或两种成分的相分离及其浓度。最后,引入了二维和三维图,以增加更全面的研究,帮助理解该模型的物理现象。从计算工作和结果来看,本分析中应用的技术功能强大、效率高。该技术还可以求解大量高阶演化方程。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
11.50
自引率
19.70%
发文量
224
审稿时长
29 days
期刊介绍: The Journal of Ocean Engineering and Science (JOES) serves as a platform for disseminating original research and advancements in the realm of ocean engineering and science. JOES encourages the submission of papers covering various aspects of ocean engineering and science.
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