Research ArticleNo Access

Both Effective Elastic Properties and Voids Interaction Energy Estimations within the Context of 3D Nano-Porous Materials

B. E. Hachi

Laboratory of Development in Mechanics and Materials (LDMM), University of Djelfa, PB 3117, Djelfa, Algeria

E-mail Address: ek.hachi@univ-djelfa.dz

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A. E. Benkhechiba

Laboratory of Development in Mechanics and Materials (LDMM), University of Djelfa, PB 3117, Djelfa, Algeria

E-mail Address: ae.benkhechiba@univ-djelfa.dz

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D. Hachi

Laboratory of Development in Mechanics and Materials (LDMM), University of Djelfa, PB 3117, Djelfa, Algeria

E-mail Address: d.hachi@univ-djelfa.dz

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S. Ramtani

https://orcid.org/0000-0002-4873-7584

Laboratoire CB3S, Université Sorbonne Paris Nord, UMR 7244 CNRS, 93430 Villetaneuse, France

E-mail Address: ramtani@univ-paris13.fr

Corresponding author.

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M. Moussaoui

Laboratory of Development in Mechanics and Materials (LDMM), University of Djelfa, PB 3117, Djelfa, Algeria

E-mail Address: m.moussaoui@univ-djelfa.dz

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A. Hafaifa

Applied Automation and Industrial Diagnostics Laboratory (LAADI), University of Djelfa, PB 3117, Djelfa, Algeria

E-mail Address: a.hafaifa@univ-djelfa.dz

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, and

M. Haboussi

Laboratoire LSPM, Université Sorbonne Paris Nord, UPR 3407 CNRS, 93430 Villetaneuse, France

E-mail Address: mohamed.aboussi@univ-paris13.fr

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https://doi.org/10.1142/S1758825124500790Cited by:0 (Source: Crossref)

Abstract

This study aims to estimate elastic properties as well as voids interaction energy within the context of 3D nano-porous materials exhibiting spherical or cylindrical voids, with or without the effect of surface energy. For this purpose, numerical homogenization is applied, based on the finite element method (FEM) in combination with the level-set technique. Surface energy is approximated by explicitly taking into account its contribution to overall stiffness in the variational formulation. Several cases are then investigated to appreciate the interaction energy between multiple 3D nanovoids on the actual behavior of nanomaterials. As expected, and like surface energy, the results show that interaction energy keeps affecting the effective behavior by increasing the size of RVE as well as the number of voids inside. This influence is more marked the more cylindrical the voids and the more closely they are adjacent to each other.

Keywords:

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