Modification of advanced Takayanagi model for the modulus of nanoclay/polymer systems comprising the effectual networks of both nanoclay and interphase section

The interphase section around clays establishes the network in clay/polymer systems. In this article, we focus on the effectual features of interphase net using clay properties and interphase/interfacial factors to progress the Takayanagi model for modulus of clay-reinforced systems. The effectual loading of interphase district in the samples and the percolation onset define the portion of interphase area in the net. The forecasts of the model are associated to the experiential quantities of several examples and the roles of whole factors in the modulus are vindicated. The lowest crucial interfacial shear modulus (S_c) of 0.01 GPa produces the highest relative modulus (nanocomposite's modulus per matrix modulus) of 3.5, but a higher ''S_c'' than 0.04 GPa deteriorates the fortifying yield of clays in the specimens. Additionally, the full exfoliation of clay platelets and the highest interfacial shear modulus of 90 GPa recover the relative modulus to 3.5, while the clays cannot reinforce the polymer matrix when the number of clays in the stacks is higher than 3 or at interfacial shear modulus less than 25 GPa.