A sharp-interface model and its numerical approximation for solid-state dewetting with axisymmetric geometry

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:361

Article

Zhao, Quan¹ 

[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

关键词: Solid-state dewetting;    Axisymmetric geometry;    Thermodynamic variation;    Surface diffusion flow;    Contact line migration;    Parametric finite element method (PFEM);   

DOI  :  10.1016/j.cam.2019.04.008

来源: Elsevier

【 摘 要 】

Based on the thermodynamic variation, we rigorously derive a sharp-interface model for solid-state dewetting of thin films on a flat substrate under the assumption that the morphology of thin film is axisymmetric. The governing equations for the sharp-interface model belong to fourth-order geometric evolution partial differential equations, and we rigorously prove that the total volume of the thin film is conserved and the total free energy is dissipative during the evolution. Furthermore, we propose a parametric finite element method for solving the above sharp-interface model. Extensive numerical results demonstrate the high performance of the numerical method and capture many significant morphological evolution features for solid-state dewetting of thin films with axisymmetric geometry. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free