Sun Yongli, Wu Yongquan, Lu Xiuming, Li Rong, Xiao Junjiang
Shanghai Key Laboratory of Modern Metallurgy and Materials Processing, Shanghai University, Yanchang Road 149, Zhabei District, Shanghai, 200072, China.
J Mol Model. 2015 Feb;21(2):32. doi: 10.1007/s00894-015-2569-5. Epub 2015 Jan 31.
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.
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。