Analysis of tensile modulus of PP/nanoclay/CaCO₃ ternary nanocomposite using composite theories

Abstract

The tensile modulus of PP/nanoclay/ CaCO 3 hybrid ternary nanocomposite was analyzed using composite models. Rule of mixtures, inverse rule of mixtures, modified rule of mixtures (MROM), Guth, Paul, Counto, Hirsch, Halpin-Tsai, Takayanagi, and KernerNielsen models were developed for three-phase system containing two nanofillers. Among the studied models, inverse rule of mixtures, Hirsch, Halpin-Tsai, and KernerNielsen models calculated the tensile modulus of PP/ nanoclay/CaCO 3 ternary nanocomposite successfully compared with others. Furthermore, the Kerner-Nielsen model was simplified to predict the tensile modulus by volume fractions of nanofillers. Also, Takayanagi model was modified for the current ternary system. The developed Takayanagi model can predict the tensile modulus using Young's modulus and volume fractions of matrix and nanofillers.

Thickness, modulus and strength of interphase in clay/polymer nanocomposites

“…Generally, CPN have attracted much interest in both industrial and academic communities. Many researchers have extensively studied their performance from both experimental and theoretical approaches (Gilman, 1999;Zare and Garmabi, 2012a;Beltrán et al, 2013;Soares et al, 2013;Abolhasani et al, 2014).…”

Crystallization, melting, and mechanical behavior of calcium carbonate‐based nanocomposites of crosslinked high density polyethylene

“…There are many models, which were developed to forecast mechanical properties of polymer composites, which their differentiation based on structure of matrix and filler and quality of their interactions together [44][45][46][47][48][49][50][51][52]. Therefore, to select an appropriate model, consideration of model's basis is necessary.…”

“…Halpin and Tsai submitted a mathematical model, which explains reinforcement effect of rigid fillers without consideration of filler-filler or filler-matrix interactions, which is presented the following expression [44,49].…”

“…One of these approaches is Paul model, which is based on assumption that stress at the matrix-filler interface is consistent and is shown according to following equation [44].…”

Characterization polyethylene terephthalate nanocomposites mixing with nano-silica and titanium oxide

“…If a comparison is made between blending recycled polymers with nanomaterials [7,8] some studies have found that a small load is sufficient to develop excellent properties without greatly increasing density and cost. It has been found that they have acted as a nuclear agent and accelerated the rate of crystallization of the polymer, increasing the melting resistance and viscosity of the polymers [9][10][11][12][13][14].The aim of this study is to develop, characterize and investigate, according to the filler content, blends of recycled PET with nano-silica and titanium oxide, in order to obtain materials used in the manufacture of parts used for design verification, shape verification, models for casting and medical application processes.…”