A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions
Analysis of PDEs
2022-05-25 v2 Materials Science
Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.2205.04512,
title = {A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions},
author = {Mario Santilli and Bernd Schmidt},
journal= {arXiv preprint arXiv:2205.04512},
year = {2022}
}