
On some non-local approximation of nonisotropic Griffith-type functionals
Author(s) -
Fernando Farroni,
Giovanni Scilla,
Francesco Solombrino
Publication year - 2021
Publication title -
mathematics in engineering
Language(s) - English
Resource type - Journals
ISSN - 2640-3501
DOI - 10.3934/mine.2022031
Subject(s) - type (biology) , mathematics , sobolev space , sequence (biology) , convergence (economics) , pure mathematics , mathematical analysis , convolution (computer science) , chemistry , computer science , geology , biochemistry , machine learning , economic growth , artificial neural network , economics , paleontology
The approximation in the sense of $ \Gamma $-convergence of nonisotropic Griffith-type functionals, with $ p- $growth ($ p > 1 $) in the symmetrized gradient, by means of a suitable sequence of non-local convolution type functionals defined on Sobolev spaces, is analysed.