The aim of this paper is to study the design of isotropic composites reinforced by aligned spheroidal particles made of a transversely isotropic material. The problem is investigated analytically using the framework of mean-field homogenization. Conditions of macroscopic isotropy of particle-reinforced composites are derived for the dilute and Mori–Tanaka's schemes. This leads to a system of three nonlinear equations linking seven material constants and two geometrical constants. A design tool is finally proposed, which permits to determine admissible particles achieving macroscopic isotropy for a given isotropic matrix behavior and a given particle aspect ratio. Correlations between transverse and longitudinal moduli of admissible particles are studied for various particle shapes. Finally, the design of particles is investigated for aluminum and steel matrix composites.
Accepted:
Published online:
Katell Derrien 1; Léo Morin 1; Pierre Gilormini 1
@article{CRMECA_2018__346_12_1123_0,
author = {Katell Derrien and L\'eo Morin and Pierre Gilormini},
title = {Designing isotropic composites reinforced by aligned transversely isotropic particles of spheroidal shape},
journal = {Comptes Rendus. M\'ecanique},
pages = {1123--1135},
publisher = {Elsevier},
volume = {346},
number = {12},
year = {2018},
doi = {10.1016/j.crme.2018.09.004},
language = {en},
}
TY - JOUR AU - Katell Derrien AU - Léo Morin AU - Pierre Gilormini TI - Designing isotropic composites reinforced by aligned transversely isotropic particles of spheroidal shape JO - Comptes Rendus. Mécanique PY - 2018 SP - 1123 EP - 1135 VL - 346 IS - 12 PB - Elsevier DO - 10.1016/j.crme.2018.09.004 LA - en ID - CRMECA_2018__346_12_1123_0 ER -
%0 Journal Article %A Katell Derrien %A Léo Morin %A Pierre Gilormini %T Designing isotropic composites reinforced by aligned transversely isotropic particles of spheroidal shape %J Comptes Rendus. Mécanique %D 2018 %P 1123-1135 %V 346 %N 12 %I Elsevier %R 10.1016/j.crme.2018.09.004 %G en %F CRMECA_2018__346_12_1123_0
Katell Derrien; Léo Morin; Pierre Gilormini. Designing isotropic composites reinforced by aligned transversely isotropic particles of spheroidal shape. Comptes Rendus. Mécanique, Volume 346 (2018) no. 12, pp. 1123-1135. doi : 10.1016/j.crme.2018.09.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.09.004/
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