Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : 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 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.
 
 
COMPUTING THE EQUILIBRIUM CONFIGURATION OF EPITAXIALLY STRAINED CRYSTALLINE FILMS -FICHIER 2 (VERSION RÉVISÉE)-
BONNETIER Eric, CHAMBOLLE Antonin
2000-8
22-02-2000
 
Université de PARIS - DAUPHINE
Place du Maréchal de Lattre De Tassigny - 75775 PARIS CEDEX 16 - FRANCE
Téléphone : +33 (0)1 44-05-49-23 - fax : +33 (0)1 44-05-45-99