Abstract
This paper investigates the nanoscale effect on the effective bulk modulus of nanoparticle‐reinforced polymer. An interface‐based model is introduced in this work to study the nanoscale effects on the effective properties of heterogeneous materials. That interface model is able to capture discontinuity of mechanical fields across the surface between the nanoparticle and matrix. A generalized self‐consistent scheme is then employed to determine the effective bulk modulus. It has been seen from the results that, in a certain range of limits, the influence of nanoscale effects on effective properties of heterogeneous materials is significant and needs to be taken into account. In particular, when the nanoparticle radius is smaller than 10 nm, the value of effective bulk modulus significantly increases when the characteristic size of nanofillers decreases. Besides, it is seen that the harder the inclusion, the smaller the nanoscale influence effects on the overall behaviors of composite materials. Finally, parametric studies in terms of surface strength and filler’s volume fractions are investigated and discussed, together with a comparison between the proposed model and other contributions in the literature.
Highlights
As indicated by various experimental investigations using nuclear magnetic resonance (NMR), there is a disturbed area of the polymer matrix around the nanofillers
An interface model was integrated into the classical homogenization scheme to explore the nanoscale effect of materials reinforced with nanometric fillers
The mechanical values across the surface between the nanofiller and matrix exhibited discontinuities, which were captured by the interface model. e effective modulus of the material was derived based on the generalized selfconsistent micromechanical scheme
Summary
As indicated by various experimental investigations using nuclear magnetic resonance (NMR), there is a disturbed area of the polymer matrix around the nanofillers. In another study of Kim et al [14], parameters of Molecular Dynamics such as thickness, interfacial interaction, Advances in Materials Science and Engineering and interphase structural change have been used to investigate the interphase behavior using a multiscale model. According to experimental results, the relation between the interphase thickness and the nanofiller size is still a difficulty, especially when considering the behaviors at small scales (i.e., atomic and molecular scales) [18, 19]. In another work [24], Benveniste has proposed an interface model to study the behavior of a thin anisotropic interphase Numerical methods such as Finite Elements have been used for these interface models. Us, this work investigates the nanoscale effect on the effective properties of particulate polymer nanocomposites using an interface model.
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