3 years ago

Designing isotropic composites reinforced by aligned transversely isotropic particles of spheroidal shape

Katell Derrien, Léo Morin, Pierre Gilormini

Publication date: December 2018

Source: Comptes Rendus Mécanique, Volume 346, Issue 12

Author(s): Katell Derrien, Léo Morin, Pierre Gilormini

Abstract

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.

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