Skip to Main content Skip to Navigation
Journal articles

3D finite element modeling for instabilities in thin films on soft substrates

Abstract : Spatial pattern formation in stiff thin films on compliant substrates is investigated based on a nonlinear 3D finite element model. Typical post-bifurcation patterns include 1D sinusoidal, checkerboard and herringbone shapes, with possible spatial modulations, boundary effects and localizations. The post-buckling behavior often leads to intricate response curves with several secondary bifurcations that were rarely studied and only in the case of periodic cells. The proposed finite element procedure allows accurately describing these bifurcation portraits by taking into account the effect of boundary conditions. It relies on the Asymptotic Numerical Method (ANM) that offers considerable advantages to get a robust path-following technique and to detect multiple bifurcations. The occurrence and evolution of sinusoidal, checkerboard and herringbone patterns will be highlighted.
Document type :
Journal articles
Complete list of metadata

https://hal.univ-lorraine.fr/hal-01503455
Contributor : Lem3 Ul <>
Submitted on : Friday, April 7, 2017 - 10:24:30 AM
Last modification on : Wednesday, June 30, 2021 - 2:50:03 PM

Links full text

Identifiers

Citation

Fan Xu, Michel Potier-Ferry, Salim Belouettar, Yu Cong. 3D finite element modeling for instabilities in thin films on soft substrates. International Journal of Solids and Structures, Elsevier, 2014, 51 (21-22), pp.3619-3632. ⟨10.1016/j.ijsolstr.2014.06.023⟩. ⟨hal-01503455⟩

Share

Metrics

Record views

520