Development of simplified Tandon‐Weng solutions of Mori‐Tanaka theory for Young's modulus of polymer nanocomposites considering the interphase

Abstract

The known Tandon-Weng model originated from Mori-Tanaka theory commonly underestimates the Young's modulus of polymer nanocomposites containing spherical nanofillers. This phenomenon is attributed to disregarding the nanoscale interfacial interaction between polymer and nanoparticles, which forms a different phase as interphase in polymer nanocomposites. In this paper, the simplified Tandon-Weng model is developed assuming interphase and the predictions of the developed model are compared with the experimental data. The calculations of the developed model completely agree with the experimental results at reasonable levels of interphase properties. Additionally, the effects of main material and interphase properties on the predictions of modulus are evaluated. The developed model predicts that a high-content, thick, and strong interphase creates a high modulus in polymer nanocomposites. These logical observations demonstrate the correctness of the developed model for Young's modulus of polymer nanocomposites.

Simplification and Development of Tandon–Weng Model for Tensile Modulus of Ternary Polymer Nanocomposites: Comparison of Predictions with Experimental Results

“…For spherical nanoparticles, the simplified parameters and their details were reported in our previous work [14].…”

“…In our previous work, TandonWeng model based on MoriTanaka theory was simplified for polymer nanocomposites containing spherical nanoparticles [14]. The simplified model was developed assuming interphase regions between polymer matrix and nanoparticles.…”

Improving and predicting the mechanical properties of foamed and stretched composite poly(lactic acid) films

“…The Mori and Tanaka theory was used to predict the composite homogeneous matrix elastic modulus [29]. The theory predicted the elastic modulus of composite materials well [30][31][32]. The theory is an improvement on the inclusion theory of Eshelby [33].…”

Preparation and characterization of physico-mechanical and structural properties of phthalimide derivative polymeric nanocomposites

“…Material characterization with ultrasound is evaluated by measurements based on wave velocity and absorption. These ultrasound waves propagating in the environment in ultrasonic applications give information about the environment where they are affected by the structural changes and discontinuities of the environment [21,22]. The porosity and hardness measurements of the samples were examined by the micrometrics brand mercury porosimeter device and the Shimadzu brand hardness device in Vickers, respectively.…”