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

Thin Film Evolution Equation for a Strained Anisotropic Solid Film on a Deformable Isotropic Substrate
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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. 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.
出处 《Journal of Applied Mathematics and Physics》 2018年第4期864-879,共16页 应用数学与应用物理(英文)
关键词 Thin Films Evolution Equation ANISOTROPY Hooke’s LAW Thin Films Evolution Equation Anisotropy Hooke’s Law
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