Micromechanical effective elastic moduli of continuous fiber-reinforced composites with near-field fiber interactions

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Abstract

A higher-order micromechanical framework is presented to predict the overall elastic deformation behavior of continuous fiber-reinforced composites with high-volume fractions and random-fiber distributions. By taking advantage of the probabilistic pair-wise near-field interaction solution, the interacting eigenstrain is analytically derived. Subsequently, by making use of the Eshelby equivalence principle, the perturbed strain within a continuous circular fiber is accounted for. Further, based on the general micromechanical field equations, effective elastic moduli of continuous fiber-reinforced composites are constructed. An advantage of the present framework is that the higher-order effective elastic moduli of composites can be analytically predicted with relative simplicity, requiring only material properties of the matrix and fibers, the fiber-volume fraction and the microstructural parameter γ. Moreover, no Monte Carlo simulation is needed for the proposed methodology. A series of comparisons between the analytical predictions and the available experimental data for isotropic and anisotropic fiber reinforced composites illustrate the predictive capability of the proposed framework. © 2010 The Author(s).

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Ju, J. W., & Yanase, K. (2011). Micromechanical effective elastic moduli of continuous fiber-reinforced composites with near-field fiber interactions. Acta Mechanica, 216(1–4), 87–103. https://doi.org/10.1007/s00707-010-0356-z

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