2024/06/07 by Azdine Nait-Ali, A. Naït-Ali, Sami Ben Elhaj Salah · 1 citation
Engineering · Materials Science · Mathematics · #Applied mathematics #Composite Material Mechanics #Computer science #Mathematics #Nonlocal and gradient elasticity in micro/nano structures #Numerical methods in engineering
paper · pdf · doi:10.5802/crmeca.254
published in Comptes Rendus Mécanique 352(G1), 159-168 (Elsevier BV)
openalex publication_date 2024/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This study aims to develop a numerical homogenization method that can be applied to a heterogeneous stratified medium. Traditional scale transition methods are inadequate in capturing the essential gradient properties of some materials. Therefore, the focus of this work is to construct a homogenized model that considers the material property gradient. To achieve this, a two-step homogenization scheme is proposed. Firstly, the 3D model is decomposed into multiple 2D heterogeneous layers, and the behavior of each layer is estimated using a micro-mechanical model such as the Hashin–Shtrikman bounds. Secondly, a variational sum method is used to rebuild the behavior of the 3D environment. Finally, the method is applied to homogenize a thin plate with a porosity gradient.