Finite element modeling of surface morphological instabilties of film-substrate systems

Résumé— We propose a numerical framework to study surface wrinklin g of stiff thin films on soft substrates : from 2D to 3D modeling, from classical to multi-sca le perspective. The main objective is to apply advanced numerical methods (path-following technique s, bifurcation indicators, bridging techniques, multi-scale analyses, etc.) for multiple-bifurcation analyses of film-substrate buck ling problems. Through incorporating these numerical methods with FEM, it can pred ict the occurrence and post-bifurcation evolution of wrinkling patterns in various boundary and loadin g conditions as well as complex geometries. Mots clés— Wrinkling, Post-buckling, Bifurcation, Thin film, Path-f ollowing perturbation technique.