A Model for Dislocations in Epitaxially Strained Elastic Films
نویسنده
چکیده
A variational model for epitaxially strained films accounting for the presence of dislocations is considered. Existence, regularity and some qualitative properties of solutions are addressed.
منابع مشابه
A Model for Dislocations in Epitaxially Strained Elastic Films
A variational model for epitaxially strained films accounting for the presence of dislocations is considered. Existence, regularity and some qualitative properties of solutions are addressed.
متن کاملThe effect of surface stress and wetting layers on morphological instability in epitaxially strained films
This paper investigates effects of surface stress and wetting layers on the morphological instability of a growing epitaxially strained dislocation-free solid film. Linear stability analysis of the planar film shows that the film, unstable due to lattice mismatch, is affected differently by surface stress for a film under compression than for one under tension and depends on whether the relativ...
متن کاملRegularity Properties of Equilibrium Configurations of Epitaxially Strained Elastic Films
We consider a variational model introduced in the physical literature to describe the epitaxial growth of an elastic film over a rigid substrate, when a lattice mismatch between the two materials is present. We establish the regularity of volume constrained local minimizers of the total energy, proving in particular the so called zero contact-angle condition between the film and the substrate.
متن کاملMotion of Elastic Thin Films by Anisotropic Surface Diffusion with Curvature Regularization
Short time existence, uniqueness, and regularity for a surface diffusion evolution equation with curvature regularization are proved in the context of epitaxially strained twodimensional films. This is achieved by using the H−1-gradient flow structure of the evolution law, via De Giorgi’s minimizing movements. This seems to be the first short time existence result for a surface diffusion type g...
متن کاملMotion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization
Short time existence for a surface diffusion evolution equation with curvature regularization is proved in the context of epitaxially strained three-dimensional films. This is achieved by implementing a minimizing movement scheme, which is hinged on the H−1-gradient flow structure underpinning the evolution law. Long-time behavior and Liapunov stability in the case of initial data close to a fl...
متن کامل