A developed Takayanagi model to estimate the tensile modulus and interphase characteristics of polymer nanocellulose composites

Abstract

This study analyzes the tensile modulus of nanocellulose-reinforced composites by developing the Takayanagi model considering the interphase section and filler size. The model accuracy is assessed by reported experimental moduli of composites and by parametric studies. The estimates of advanced model fit to the measured moduli of numerous examples. Also, it is revealed that the treatment of nanocellulose increases the modulus and thickness of interphase in nanocomposites. The relative modulus (Er) as the ratio of nanocomposite modulus to the modulus of matrix significantly changes when nanocellulose modulus (Ef) is raised from 50 to 100 GPa; however, Er unimportantly rises at Ef > 100 GPa. Additionally, nanocellulose radius (R) of 2 nm maximizes the Er to 1.636, though Er decreases to 1.09 at R = 58 nm and the variation of Er is insignificant at R > 20 nm. Furthermore, the interphase moduli (Ei) below 10 GPa meaningfully affect the nanocomposite modulus, but Ei > 10 GPa cannot cause the considerable change in Er. Therefore, Er does not change at the high levels of Ef, R and Ei.