Non-local approximation of the Griffith functional
Analysis of PDEs
2021-02-05 v3
Abstract
An approximation, in the sense of -convergence and in any dimension , of Griffith-type functionals, with growth () in the symmetrized gradient, is provided by means of a sequence of non-local integral functionals depending on the average of the symmetrized gradients on small balls.
Cite
@article{arxiv.2007.04623,
title = {Non-local approximation of the Griffith functional},
author = {Giovanni Scilla and Francesco Solombrino},
journal= {arXiv preprint arXiv:2007.04623},
year = {2021}
}