RT Journal Article
ID 41f862d41678b436
A1 Ptaszny, Jacek
A1 Dziatkiewicz, Grzegorz 
A1 Fedelinski, Piotr 
T1 BOUNDARY ELEMENT METHOD MODELLING OF NANOCOMPOSITES
JF International Journal for Multiscale Computational Engineering
JO JMC
YR 2014
FD 2014-02-25
VO 12
IS 1
SP 33
OP 43
K1 nanocomposite
K1 homogenization
K1 effective particle
K1 boundary element method
K1 anisotropy
AB 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 a relatively small volume fraction of the reinforcement, the effective particles can be isotropic, while for greater values, the particles should be anisotropic. Other authors most commonly use analytical methods or the finite element method (FEM). In this work, the boundary element method (BEM) is applied. Two-dimensional plain strain models are analyzed. Two cases are considered, namely, isotropic and anisotropic (orthotropic) particles. The matrix of the composite is modelled as isotropic. The problem is solved by using a BEM formulation for plates containing many identical inclusions. The kernels of boundary integrals for the isotropic subdomains are the Kelvin solutions for plane elasticity. In the case of the orthotropic particles, fundamental solutions obtained by the Stroh formalism are applied. The results are compared to the Mori-Tanaka model. Acceptable agreement between the models is observed.
PB Begell House
LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,319e71c10c72804e,41f862d41678b436.html