Published Paper

Inserted: 22 aug 2023

Journal: Journal de Mathématiques Pures et Appliquées
Year: 2023
Doi: https://doi.org/10.1016/j.matpur.2023.05.005

Abstract:

We consider a two phase elastic thin film with soft inclusions subject to bending dominated deformations. The soft (void) phase may comprise asymptotically small droplets within the elastic matrix. We perform a dimension reduction analysis and obtain a novel `Blake-Zisserman-Kirchhoff' model that combines Kirchhoff's classical plate theory with Blake-Zisserman type surface energy contributions at cracks, folds and the boundary of voids.