Thumbnail

Computing the Equilibrium Configuration of Epitaxially Strained Crystalline Films

Bonnetier, Eric; Chambolle, Antonin (2002), Computing the Equilibrium Configuration of Epitaxially Strained Crystalline Films, SIAM Journal on Applied Mathematics, 62, 4, p. 1093-1121. http://dx.doi.org/10.1137/S0036139900368571

View/Open
Type
Article accepté pour publication ou publié
Date
2002
Journal name
SIAM Journal on Applied Mathematics
Volume
62
Number
4
Publisher
SIAM
Pages
1093-1121
Publication identifier
Metadata
Show full item record
Author(s)
Bonnetier, Eric
Chambolle, Antonin cc
Abstract (EN)
We study a model for shape instabilities of heteroepitaxial crystalline films. Lattice misfits between the substrate and the film induce elastic stresses in the film, which adjusts the shape of its free surface to reduce its total energy, sum of an elastic and a surface energy. We give a precise framework that guarantees the existence of solutions to this variational problem. We show that equilibrium states can be approximated using a two-phase model for representing the surface energy. Numerical results, obtained via this approximation, are presented.
Subjects / Keywords
Gamma-convergence; epitaxially stressed films; shape instabilities