Thin Film Evolution Equation for a Strained Anisotropic Solid Film on a Deformable Isotropic Substrate

• 作者: Agegnehu Atena Wondimu Tekalign
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Thin Films Evolution Equation ANISOTROPY Hooke’s Law
• 年，卷（期）: 2018,（4）
• 页码范围: 864-879
• 页数: 16页
• 分类号: O1

摘要

We consider a continuum model for the evolution of an epitaxially-strained dislocation-free anisotropic thin solid film on isotropic deformable substrate in the absence of vapor deposition. By using a thin film approximation we derived a nonlinear evolution equation. We examined the nonlinear evolution equation and found that there is a critical film thickness below which every film thickness is stable and a critical wave number above which every film thickness is stable.