Mathematical Simplification of the Tandon-Weng Approach to the Mori-Tanaka Model for Estimating the Young's Modulus of Clay/Polymer Nanocomposites

作者：Li, Hai-Xia; Zare, Yasser; Rhee, Kyong Yop^*

来源：JOM, 2017, 69(12): 2819-2824.

DOI：10.1007/s11837-017-2609-y

• POLYMER PARTICULATE NANOCOMPOSITES
• NICOLAIS-NARKIS MODEL
• TENSILE MODULUS
• INTERFACIAL ADHESION
• COMPOSITE THEORIES
• YIELD STRENGTH
• INTERPHASE PROPERTIES
• CARBON NANOTUBES
• NANOPARTICLES
• MATRIX

The Tandon-Weng expression of the Mori-Tanaka theory comprises some complex terms for estimating Young's modulus in composites, which limit its application to polymer nanocomposites. In this article, this model is simplified for clay/polymer nanocomposites (CPNs). The original model demonstrates that the Poisson ratio and modulus of the matrix, as well as the aspect ratio, modulus, and concentration of the filler, play chief roles in determining the modulus. However, the simplified Tandon-Weng model shows that some parameters, such as the modulus of nanoparticles, do not affect the modulus of CPNs. The moduli calculated by the simplified model are compared with experimental measurements of several samples as well as to predictions made by other known models (e.g., the Halpin-Tsai model).

• 出版日期2017-12
• 单位安徽新华学院