Percolation of particles on recursive lattices: (III) percolation of polydisperse particles in the presence of a polymer matrix
Andrea Corsi, P. D. Gujrati
Abstract
We use a recently developed lattice model to study the percolation of particles of different sizes and shapes in the presence of a polymer matrix. The polymer is modeled as an infinitely long semiflexible chain. We study the effects of the stiffness of the polymer, the size disparity of the filler particles, their aspect ratio and the interactions between fillers and polymer on the percolation properties of the system. The lattice model is solved exactly on a recursive Husimi lattice. The solution represent an approximate solution for a regular lattice. Our results are able to reproduce most of the experimental findings that have been observed in the literature. In particular, we observe how an increase in the size disparity of the filler particles dispersed in the matrix as well as an aincrease of their aspect ratio decreases the percolation threshold.
Create a lesson
Related papers
Nonparametric multiscale modeling of boundary lubrication: hexadecane in highly pressurized gold asperity contacts
Hannes Holey, Michael Moseler, Peter Gumbsch et al.
Asymmetric Ions in Solution are Similar to Active Brownian Particles
Setare Mostajabi Sarhangi, Dmitry V. Matyushov
Influence of twist direction and large deformation on soft material torsional contact
Yucai Hu, Pengfei Li, Michele Ciavarella et al.
Phase transitions and microphases in elastomers. II. Anisotropy-driven morphologies
Manu Mannattil, David Andelman, Haim Diamant
Comparing non-local granular fluid continuum models for silo discharge: Toward clogging prediction
Y. Zhou, Y. Wang, M. Li et al.
Residual semi-crystalline particles released during enzymatic degradation of plastics
Michael Schindler, Ludwik Leibler