Competing effects of interface anisotropy and isotropic driving force on the growth of steady-state shape in phase-field modeling
Competing effects of interface anisotropy and isotropic driving force on the growth of steady-state shape in phase-field modeling
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相场建模中界面各向异性和各向同性驱动力对稳态形状生长的竞争效应
DOI：
10.1016/j.commatsci.2015.09.051
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发表时间：
2016
影响因子：
3.3
通讯作者：
Lanting Zhang
中科院分区：
文献类型：
--
作者：
Li Zhang;Yao Shen;Lei Zhang;Yanming Wang;Xiaochuan Xiong;Lanting Zhang
在各向异性Allen-Cahn相场模型（AC-PFM）中，Wulff结构代表了收缩演化过程中的稳态形状。在AC-PFM中加入一个恒定的驱动力（Δ Fmc）会导致各向异性收缩和各向同性生长之间的竞争，从而导致不同的稳态相形状。通过数值模拟和理论分析，得出了取决于Δ Fmc强度的三种演化行为：类武尔夫收缩、类武尔夫增长和偏离武尔夫增长。换句话说，在Δ Fmc → 0的极限下，PFM预测的稳态形状遵循Wulff形状，但当Δ Fmc显著增长时偏离Wulff形状，因为Δ Fmc项表示生长动力学的各向同性特征，而其他部分表示Wulff形状中的各向异性特征。基于数值验证的界面法向速度模型，证明了当Δ Fmc → 0时，稳态形状与Wulff形状的等价性。从系统演化方程的阶次分析中估计的显著偏离Wulff的“临界”Δ Fmc非常接近法向速度（Vn）对Δ Fmc的依赖性从Vn <$Δ Fmc变为Vn <$（Δ Fmc）0.5的点。
It is well-known that the Wulff construction represents the steady-state shape during a shrink evolution in the anisotropic Allen–Cahn phase-field model (AC-PFM). Adding a constant driving force (Δ F mc) into the AC-PFM will result in the competition between the anisotropic shrink and the isotropic growth, which may lead to different phase shape at the steady state. Through numerical simulations and theoretical analyses, three types of evolution behaviors that depend on the strength of Δ F mc have been concluded: shrink resembling Wulff, growth resembling Wulff and growth deviating from Wulff. In other words, in the limit of Δ F mc→ 0, the steady-state shape predicted by PFM follows the Wulff shape, but deviates from Wulff when Δ F mc grows substantially, as the Δ F mc term represents the isotropic feature of the growth dynamics while the other parts denote the anisotropic feature in the Wulff shape. The equivalence of the steady-state shape to Wulff when Δ F mc→ 0 has been proven based on a numerically verified interface normal velocity model. The “critical” Δ F mc for marked deviation from Wulff estimated from order analysis of the system evolution equation, is very closed to the point where the normal velocity (V n) changes its dependence on Δ F mc from V n∝ Δ F mc to V n∝(Δ F mc) 0.5.
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影响因子：
9.4
作者：
R. Qin;E. Wallach
通讯作者：
R. Qin;E. Wallach
影响因子：
9.4
作者：
I. Loginova;J. Ågren;G. Amberg
通讯作者：
I. Loginova;J. Ågren;G. Amberg
影响因子：
3.3
作者：
M. A. Zaeem;H. Kadiri
通讯作者：
M. A. Zaeem;H. Kadiri
影响因子：
1.2
作者：
A. Yamanaka;T. Takaki;Y. Tomita
通讯作者：
A. Yamanaka;T. Takaki;Y. Tomita
DOI：
10.1098/rsta.1951.0006
发表时间：
1951-01-01
影响因子：
--
作者：
BURTON, WK;CABRERA, N;FRANK, FC
通讯作者：
FRANK, FC