@inproceedings{de78637e566b4eb5bf5d19e249454b07,
title = "Boundary element method modelling of nanocomposites",
abstract = "The paper deals with the numerical homogenization of polymer/clay nanocomposites reinforced by stacks of parallel clay sheets. The stacks can be modelled as effective particles as it was shown in the literature. For relatively small volume fraction of the reinforcement the effective particles can be isotropic. On the other hand, for larger values of the volume fraction the particles should be anisotropic. Other authors most commonly use the analytical methods or the finite element method (FEM). In this work the boundary element method (BEM) is applied. Two-dimensional plain strain models are analysed. Two cases of the effective particle are considered: the isotropic and anisotropic (orthotropic) ones. The matrix of the composite is modelled as isotropic. The problem is solved by using a special formulation for plates containing many identical inclusions. The kernels of boundary integrals for the isotropic subdomains are the Kelvin solutions for plane elasticity. For the orthotropic inclusions fundamental solutions obtained by the Stroh formalism are applied.",
keywords = "Anisotropy, Boundary element method, Effective particle, Homogenization, Nanocomposite",
author = "Jacek Ptaszny and Grzegorz Dziatkiewicz and Piotr Fedeli{\'n}ski",
year = "2012",
language = "English",
isbn = "9783950353709",
series = "ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers",
pages = "4030--4040",
booktitle = "ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers",
note = "6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 ; Conference date: 10-09-2012 Through 14-09-2012",
}