%0 Journal Article
%A Klinge, Sandra
%A Hackl, Klaus
%D 2012
%I Begell House
%K random heterogeneous materials, multiscale FEM, homogenization, composites
%N 3
%P 213-227
%R 10.1615/IntJMultCompEng.2012002059
%T APPLICATION OF THE MULTISCALE FEM TO THE MODELING OF NONLINEAR COMPOSITES WITH A RANDOM MICROSTRUCTURE
%U http://dl.begellhouse.com/journals/61fd1b191cf7e96f,20e1ba4b4b9313c6,08eb49da2ef0c980.html
%V 10
%X In this contribution the properties and application of the multiscale finite element program MSFEAP are presented. This code is developed on basis of coupling the homogenization theory with the finite element method. According to this concept, the investigation of an appropriately chosen representative volume element yields the material parameters needed for the simulation of a macroscopic body. The connection of scales is based on the principle of volume averaging and the Hill-Mandel macrohomogeneity condition. The latter leads to the determination of different types of boundary conditions for the representative volume element and in this way to the postulation of a well-posed problem at this level. The numerical examples presented in the contribution investigate the effective material behavior of microporous media. An isotropic and a transversally anisotropic microstructure are simulated by choosing an appropriate orientation and geometry of the representative volume element in each Gauss point. The results are verified by comparing them with Hashin-Shtrikman's analytic bounds. However, the chosen examples should be understood as simply an illustration of the program application, while its main feature is a modular structure suitable for further development.
%8 2012-03-30