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Nanocomposite theory: Nairn model

This document outlines the theoretical framework and modeling approach for predicting the modulus of nanocomposites developed by Prof. John Nairn at OSU. It discusses the effective composite modulus (Ec), the modulus of cellulose nanocrystal (CNC), and matrix materials, incorporating variables such as volume fractions of CNC and matrix, shear modulus, and the aspect ratio of fibers. The study is grounded in established constants and parameters, highlighting the interfacial stiffness parameter. This model serves as a key resource for researchers in nanocomposite materials.

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Nanocomposite theory: Nairn model

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  1. Nanocomposite theory: Nairn model Ec = composite modulus EA = CNC modulus; Em = matrix modulus Vf = CNC volume fraction; Vm = matrix volume fraction G = shear modulus and can be derived from E ρ = fiber aspect ratio (length/diameter) rf = CNC fiber radius  Dt =interfacial stiffness parameter χ = 0.009 is a universal constant Model developed by Prof. John Nairn, OSU

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