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Micromechanics and effective elastic moduli of particle-reinforced composites with near-field particle interactions

Micromechanics and effective elastic moduli of particle-reinforced composites with near-field... A micromechanical framework is proposed to predict effective elastic moduli of particle-reinforced composites. First, the interacting eigenstrain is derived by making use of the exterior-point Eshelby tensor and the equivalence principle associated with the pairwise particle interactions. Then, the near-field particle interactions are accounted for in the effective elastic moduli of spherical-particle-reinforced composites. On the foundation of the proposed interacting solution, the consistent versus simplified micromechanical field equations are systematically presented and discussed. Specifically, the focus is upon the effective elastic moduli of two-phase composites containing randomly distributed isotropic spherical particles. To demonstrate the predictive capability of the proposed micromechanical framework, comparisons between the theoretical predictions and the available experimental data on effective elastic moduli are rendered. In contrast to higher-order formulations in the literature, the proposed micromechanical formulation can accommodate the anisotropy of reinforcing particles and can be readily extended to multi-phase composites. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mechanica Springer Journals

Micromechanics and effective elastic moduli of particle-reinforced composites with near-field particle interactions

Acta Mechanica , Volume 215 (4) – May 25, 2010

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References (37)

Publisher
Springer Journals
Copyright
Copyright © 2010 by The Author(s)
Subject
Engineering; Engineering Thermodynamics, Heat and Mass Transfer; Vibration, Dynamical Systems, Control; Structural Mechanics; Continuum Mechanics and Mechanics of Materials; Classical Continuum Physics; Theoretical and Applied Mechanics
ISSN
0001-5970
eISSN
1619-6937
DOI
10.1007/s00707-010-0337-2
Publisher site
See Article on Publisher Site

Abstract

A micromechanical framework is proposed to predict effective elastic moduli of particle-reinforced composites. First, the interacting eigenstrain is derived by making use of the exterior-point Eshelby tensor and the equivalence principle associated with the pairwise particle interactions. Then, the near-field particle interactions are accounted for in the effective elastic moduli of spherical-particle-reinforced composites. On the foundation of the proposed interacting solution, the consistent versus simplified micromechanical field equations are systematically presented and discussed. Specifically, the focus is upon the effective elastic moduli of two-phase composites containing randomly distributed isotropic spherical particles. To demonstrate the predictive capability of the proposed micromechanical framework, comparisons between the theoretical predictions and the available experimental data on effective elastic moduli are rendered. In contrast to higher-order formulations in the literature, the proposed micromechanical formulation can accommodate the anisotropy of reinforcing particles and can be readily extended to multi-phase composites.

Journal

Acta MechanicaSpringer Journals

Published: May 25, 2010

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