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arXiv · 2007.05066

Non-local modeling with asymptotic expansion homogenization of random materials

Sami Ben Elhaj Salah·Azdine Nait-Ali·Mikael Gueguen·Carole Nadot-Martin
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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.

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Sami Ben Elhaj Salah, Azdine Nait-Ali, Mikael Gueguen, Carole Nadot-Martin. 2020-07-08. Non-local modeling with asymptotic expansion homogenization of random materials. https://doi.org/10.1016/j.mechmat.2020.103459

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