TITLE:
Thin Film Evolution Equation for a Strained Anisotropic Solid Film on a Deformable Isotropic Substrate
AUTHORS:
Wondimu Tekalign, Agegnehu Atena
KEYWORDS:
Thin Films, Evolution Equation, Anisotropy, Hooke’s Law
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.4,
April
26,
2018
ABSTRACT: 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.