RT Journal Article ID 2d7591391eed85f9 A1 Ghanbari, Jaafar A1 Naghdabad, R. T1 Hierarchical Multiscale Modeling of Nanotube-Reinforced Polymer Composites JF International Journal for Multiscale Computational Engineering JO JMC YR 2009 FD 2009-09-22 VO 7 IS 5 SP 395 OP 408 K1 carbon nanotubes K1 nanocomposites K1 interphase layer K1 mechanical properties K1 multiscale modeling K1 nonlinear behavior AB A finite element-based hierarchical multiscale modeling scheme is presented and used for the analysis of nanotube-reinforced polymer composites. The scheme presented here consists of micro- and macroscale boundary value problems linked together using a computational homogenization scheme. Using the presented hierarchical multiscale scheme, we have studied nanotube-reinforced polymer composites, and the elastic properties are determined. Using different representative volume elements (RVEs) representing different volume fractions of aligned nanotubes, the effect of the nanotube volume fraction and the existence of an interphase layer on the effective elastic modulus of the nanocomposite are studied. The results are compared with the micromechanical Halpin-Tsai equation, molecular dynamics simulations, and other available results. We have studied the stress concentration factor in the RVE, and it is shown that this factor is inversely proportional to the carbon nanotube volume fraction. Also, a nonlinear large deformation analysis has been carried out to study the global behavior of the nanocomposite, and a nonlinear relation between stress and strain has been observed. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,5d71ecb1241e6f50,2d7591391eed85f9.html