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
TypeArticle accepté pour publication ou publié
Journal nameSIAM Journal on Applied Mathematics
MetadataShow full item record
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 / KeywordsGamma-convergence; epitaxially stressed films; shape instabilities
Showing items related by title and author.
Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow Alter, François; Caselles, Vincent; Chambolle, Antonin (2005) Article accepté pour publication ou publié
Chambolle, Antonin; Desjardins, Benoît; Esteban, Maria J.; Grandmont, Céline (2005) Article accepté pour publication ou publié