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体心立方铁固液界面的各向异性与粗糙度

Anisotropy and roughness of the solid-liquid interface of BCC Fe.

作者信息

Sun Yongli, Wu Yongquan, Lu Xiuming, Li Rong, Xiao Junjiang

机构信息

Shanghai Key Laboratory of Modern Metallurgy and Materials Processing, Shanghai University, Yanchang Road 149, Zhabei District, Shanghai, 200072, China.

出版信息

J Mol Model. 2015 Feb;21(2):32. doi: 10.1007/s00894-015-2569-5. Epub 2015 Jan 31.

DOI:10.1007/s00894-015-2569-5
PMID:25636268
Abstract

Melting point T m and kinetic coefficient μ (a proportional constant between the interfacial velocity ν and undercooling ΔT), along with the structural roughness of the solid-liquid interface for body centered cubic (BCC) Fe were calculated by molecular dynamics (MD) simulation. All simulations applied the Sutton-Chen potential, and adopted average bond orientational order (ABOO) parameters together with Voronoi polyhedron method to characterize atomic structure and calculate atomic volume. Anisotropy of T m was found through about 20~40 K decreasing from [100] to [110] and continuously to [111]. Anisotropy of μ with three low index orientations was found as: μ s,[100] > > μ s,[110] > μ s,[111] for solidifying process and μ m,[100] > > μ m,[111] > μ m,[110] for melting process. Slight asymmetry between melting and solidifying was discovered from that the ratios of μ m/μ s are all slightly larger than 1. To explain these, interfacial roughness R int and area ratio S/S 0 (ratio of realistic interfacial area S and the ideal flat cross-sectional area S 0) were defined to verify the anisotropy of interfacial roughness under different supercoolings/superheatings. The results indicated interfacial roughness anisotropies were approximately [100] > [111] > [110]; the interface in melting process is rougher than that in solidifying process; asymmetry of interfacial roughness was larger when temperature deviation ΔT was larger. Anisotropy and asymmetry of interfacial roughness fitted the case of kinetic coefficient μ very well, which could give some explanations to the anisotropies of T m and μ.

摘要

通过分子动力学(MD)模拟计算了体心立方(BCC)铁的熔点Tm和动力学系数μ(界面速度ν与过冷度ΔT之间的比例常数),以及固液界面的结构粗糙度。所有模拟均采用Sutton-Chen势,并采用平均键取向序(ABOO)参数和Voronoi多面体方法来表征原子结构并计算原子体积。发现Tm的各向异性表现为从[100]到[110]再到[111]降低约20~40K。发现具有三个低指数取向的μ的各向异性为:凝固过程中μs,[100] >> μs,[110] > μs,[111],熔化过程中μm,[100] >> μm,[111] > μm,[110]。从μm/μs的比值均略大于1发现熔化和凝固之间存在轻微不对称。为了解释这些现象,定义了界面粗糙度Rint和面积比S/S0(实际界面面积S与理想平面截面积S0的比值),以验证不同过冷度/过热度下界面粗糙度的各向异性。结果表明界面粗糙度各向异性约为[100] > [111] > [110];熔化过程中的界面比凝固过程中的界面更粗糙;当温度偏差ΔT较大时,界面粗糙度的不对称性更大。界面粗糙度的各向异性和不对称性与动力学系数μ的情况拟合得很好,这可以对Tm和μ的各向异性给出一些解释。

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