Sharp-interface approach for simulating solid-state dewetting in two dimensions: A Cahn–Hoffman ξ-vector formulation
Sharp-interface approach for simulating solid-state dewetting in two dimensions: A Cahn–Hoffman ξ-vector formulation
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用于模拟二维固态去湿的锐接口方法：Cahn-Hoffman Îϋ-向量公式
DOI：
10.1016/j.physd.2018.11.003
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Zhao Quan
中科院分区：
文献类型：
--
作者：
Jiang Wei;Zhao Quan
利用Cahn-Hoffman矢量公式，我们提出了一种求解二维固体去湿问题的锐界面方法。首先，基于热力学变分和光滑矢量场微扰方法，我们严格地导出了一个具有弱各向异性表面能的锐界面模型，该模型描述了通过表面扩散、流动和接触线迁移发生的界面演化。其次，提出了一种基于矢量列式的参数有限元法，用于数值求解尖界面模型。通过数值模拟，我们研究了几个具体的演变过程的薄膜，例如，固态去湿。小岛的演化、大岛的夹断以及半无限台阶薄膜的幂律收缩动力学，这些模拟结果与实验观察一致。最后，我们还将强表面能各向异性引入到锐界面模型中，并通过介矢量公式设计了相应的数值格式。
By using a Cahn–Hoffman ξ-vector formulation, we propose a sharp-interface approach for solving solidstate.dewetting problems in two dimensions. First, based on the thermodynamic variation and smooth.vector-field perturbation method, we rigorously derive a sharp-interface model with weakly anisotropic.surface energies, and this model describes the interface evolution which occurs through surface diffusion.flow and contact line migration. Second, a parametric finite element method in terms of the ξ-vector.formulation is proposed for numerically solving the sharp-interface model. By performing numerical.simulations, we examine several specific evolution processes for solid-state dewetting of thin films, e.g.,.the evolution of small islands, pinch-off of large islands and power-law retraction dynamics of semiinfinite.step films, and these simulation results are consistent with experimental observations. Finally,.we also include the strong surface energy anisotropy into the sharp-interface model and design its.corresponding numerical scheme via the ξ-vector formulation.