Issue 116, 2015

Assumption of interphase properties in classical Christensen–Lo model for Young's modulus of polymer nanocomposites reinforced with spherical nanoparticles

Abstract

The significant reinforcement of polymer nanocomposites containing spherical nanoparticles which exceeds the predictions of classical models is commonly attributed to the formation of an interphase between polymer and nanoparticles. In this article, the Christensen–Lo model for Young's modulus of polymer composites is developed by an “a” interphase parameter. Firstly, the “a” interphase parameter is approximately expressed by nanofiller and interphase properties. Secondly, the Ji model suggested for three phase systems (matrix, filler and interphase) is used to calculate the interphase thickness and modulus. The experimental data of several samples are applied to the developed Christensen–Lo and Ji models to calculate the “a” parameter and interphase properties. At the final step, the “a” parameter is accurately defined as a function of the specific surface area (Ac), density (ρf), modulus (Ef) and radius (r) of nanofiller as well as the thickness (ri) and modulus (Ei) of interphase using the obtained calculations. All the predictions by the developed Christensen–Lo model demonstrate a right consistency with the experimental results, which validate the present analysis. The “a” values are obtained from 0.8 to 19 for several samples showing the different levels of interphase properties in the reported samples. Also, the calculations reveal an inverse correlation between “Ei” and “ri” in the polymer nanocomposites containing spherical nanoparticles.

Graphical abstract: Assumption of interphase properties in classical Christensen–Lo model for Young's modulus of polymer nanocomposites reinforced with spherical nanoparticles

Article information

Article type
Paper
Submitted
19 Sep 2015
Accepted
02 Nov 2015
First published
05 Nov 2015

RSC Adv., 2015,5, 95532-95538

Assumption of interphase properties in classical Christensen–Lo model for Young's modulus of polymer nanocomposites reinforced with spherical nanoparticles

Y. Zare, RSC Adv., 2015, 5, 95532 DOI: 10.1039/C5RA19330C

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