Authors: | Marziani, Roberta Solombrino, Francesco |
Title: | Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation |
Language (ISO): | en |
Abstract: | We analyse the Γ-convergence of general non-local convolution type functionals with varying densities depending on the space variable and on the symmetrized gradient. The limit is a local free-discontinuity functional, where the bulk term can be completely characterized in terms of an asymptotic cell formula. From that, we can deduce an homogenisation result in the stochastic setting. |
Subject Headings: | non-local approximation variational fracture free discontinuity problems functions of bounded deformations Γ-convergence deterministic and stochastic homogenisation |
URI: | http://hdl.handle.net/2003/42644 http://dx.doi.org/10.17877/DE290R-24481 |
Issue Date: | 2023-06-08 |
Rights link: | https://creativecommons.org/licenses/by/4.0/ |
Appears in Collections: | Lehrstuhl I Analysis |
Files in This Item:
File | Description | Size | Format | |
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non-local-approximation-of-free-discontinuity-problems-in-linear-elasticity-and-application-to-stochastic-homogenisation.pdf | DNB | 532.82 kB | Adobe PDF | View/Open |
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