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

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...

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Bibliographic Details
Published in:Acta mechanica 2010-12, Vol.215 (1-4), p.135-153
Main Authors: Ju, J. W., Yanase, K.
Format: Article
Language:English
Subjects:
Analysis
Classical and Continuum Physics
Composite materials
Composite materials industry
Control
Dynamical Systems
Engineering
Engineering Thermodynamics
Equivalence principle
Exact sciences and technology
Formulations
Foundations
Fundamental areas of phenomenology (including applications)
Heat and Mass Transfer
Materials science
Mathematical analysis
Mechanical engineering
Micromechanics
Modulus of elasticity
Particle interactions
Particulate composites
Physics
Predictions
Solid Mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Theoretical and Applied Mechanics
Theory
Vibration
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Summary: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.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-010-0337-2