Non-local modeling with asymptotic expansion homogenization of random materials
Computational Engineering, Finance, and Science
2020-07-13 v1
Abstract
The aim of this study is to build a non-local homogenized model for three-dimensional composites with inclusions randomly embedded within a matrix according to a stochastic point process w in a bounded open set associated with a suitable probability space). Both phases were linear elastic. Asymptotic expansion homogenization (AEH) was revisited by taking into account the stochastic parameter representing the inclusion centers distribution. The macroscopic behavior was then studied by combining the variational approach with the mean-ergodicity.
Keywords
Cite
@article{arxiv.2007.05066,
title = {Non-local modeling with asymptotic expansion homogenization of random materials},
author = {Sami Ben Elhaj Salah and Azdine Nait-Ali and Mikael Gueguen and Carole Nadot-Martin},
journal= {arXiv preprint arXiv:2007.05066},
year = {2020}
}