Precipitation Kinetics of Al3Sc in Aluminum Alloys Modeled with a New Grouping Cluster Dynamics Model

doi:10.11900/0412.1961.2020.00289

Acta Metall Sin

2021, Vol. 57

Issue (6): 822-830 DOI: 10.11900/0412.1961.2020.00289

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Precipitation Kinetics of Al₃Sc in Aluminum Alloys Modeled with a New Grouping Cluster Dynamics Model

XU Kun¹, WANG Haichuan¹, KONG Hui¹, WU Zhaoyang¹(

), ZHANG Zhan²

^1.Key Laboratory of Metallurgical Emission Reduction & Resources Recyling, Ministry of Education, Anhui University of Technology, Ma'anshan 243032, China
^2.School of Materials and Metallurgy, Wuhan University of Science and Technology, Wuhan 430081, China

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XU Kun, WANG Haichuan, KONG Hui, WU Zhaoyang, ZHANG Zhan. Precipitation Kinetics of Al₃Sc in Aluminum Alloys Modeled with a New Grouping Cluster Dynamics Model. Acta Metall Sin, 2021, 57(6): 822-830.

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Abstract

Cluster dynamics is a mesoscopic modeling technique describing the various kinetic stages of homogeneous precipitation by the same set of rate equations. However, when the simulated cluster size continuously increases, it easily causes an enormous computational workload, and the use of a particle-size-grouping method is often necessary to solve this problem. In this study, an ungrouped cluster dynamics model and certain existing grouping methods are reviewed. Next, a new grouping method with an assumed logarithmically-linear distribution of cluster number densities inside each group size is proposed. Comparing the results of all grouped models with the exact solution of the ungrouped model for simulating aluminum-scandium (Al₃Sc) precipitation in the Al-0.18%Sc (atomic fraction) alloy at 300^oC, the new grouping method was able to reduce computational costs considerably keeping enough total and local accuracies. Moreover, the reasonable agreements of the mean radii and size distributions as functions of time between experiments and simulations were obtained, demonstrating the ability of the new grouping method in modeling large-scale precipitation kinetics.

Key words: precipitation kinetics cluster dynamics model particle-size-grouping method Al-Sc alloy homogeneous precipitation

Received: 05 August 2020

ZTFLH:

TG146.2

Fund: National Natural Science Foundation of China(U1960109);Key Program for the Innovation and Entrepreneurship Support Plan for Returning Overseas Chinese Scholars in Anhui Province

About author: WU Zhaoyang, associate professor, Tel: (0551)2311571, E-mail: ahutwzy@ahut.edu.cn

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	Kun XU
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https://www.ams.org.cn/EN/10.11900/0412.1961.2020.00289 OR https://www.ams.org.cn/EN/Y2021/V57/I6/822

Fig.1 Comparison of Al₃Sc size distributions of cluster groups calculated by 3 parlicle-size-grouping (PSG) methods with exact solution of ungrouped cluster dynamics (CD) model (r_j—mean radius of cluster group, N_j—number density, t—precipitation time)

Table 1 Comparison of computational costs of different cluster dynamics models for a precipitation time of 1 × 10⁷ s

Fig.2 Comparison of Al₃Sc size distributions of ungrouped clusters calculated by 3 PSG methods with exact solution of ungrouped CD model

Fig.3 Comparison of calculated and measured Al₃Sc precipitations for an Al-0.18%Sc alloy during isothermal aging at 300^oC

Fig.4 Comparison of calculated and measured normalized precipitate size distributions of Al₃Sc precipitates during isothermally ageing at 300^oC and LSW distribution for 6 h (a), 72 h (b), and 350 h (c) ( $g (r ˉ) = Δ N ? / ? N P / Δ r ? / ? r P$ , r—radius, $r ˉ$ —normalize radius, ΔN—total number density of clusters in each size group, Δr—radius interval of clusters in each size group)

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