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Mechanical modeling of a three-phase nanocomposite polymeric material

Authors

  • Qingkai Meng,

    1. Department of Chemical and Biomolecular Engineering and Tulane Institute for Macromolecular Engineering and Science, Tulane University, New Orleans, Louisiana 70118
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  • Daniel De Kee

    Corresponding author
    1. Department of Chemical and Biomolecular Engineering and Tulane Institute for Macromolecular Engineering and Science, Tulane University, New Orleans, Louisiana 70118
    • Department of Chemical and Biomolecular Engineering and Tulane Institute for Macromolecular Engineering and Science, Tulane University, New Orleans, Louisiana 70118
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Abstract

The presented model to predict the elastic modulus of a polymer/ellipsoidal filler/oblate platelet system is based on Eshelby's equivalent inclusion method and Mori-Tanaka's back-stress analysis. We considered wood flour and intercalated clay particles in three-phase polymer nanocomposites as ellipsoidal and oblate platelet shapes, respectively. The intercalated clay particles along with the polymer chains in the clay galleries are treated as equivalent oblate fillers (EOFs). Via controlling wood flour and EOF aspect ratios (α and β) and the silicate layer number (n) in an EOF, the model prediction was compared with experimental data. The model predicted α and β values are within a range of 2.4–5 and 44–75, respectively, which are in good agreement with experimental observations. Quantitative agreement between model prediction and experimental data is achieved for α = 3.7 and β = 75 when n = 2. The proposed model recovers the two-phase results for polymer/ellipsoidal filler systems or polymer/oblate platelet systems. © 2012 Wiley Periodicals, Inc. J. Appl. Polym. Sci., 2013

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