Abstract
Engineering applications are increasingly facing structural challenges. Restrictive economic constraints and more complex geometric design have led to the use of advanced materials, such as fiber-reinforced composites. The behavior of such materials is governed by their microstructure, thus demanding the use of multiscale approaches. The present article aims at the verification of a two-way coupled multiscale finite element code previously developed by the authors. A two-scale analytical solution for a functionally graded elastic material subject to dynamic loads is herein derived in order to verify the multiscale code. Comparisons to overkilled single scale finite element solutions are also presented.
Acknowledgments
The authors gratefully acknowledge the financial support received from the US Army Research Laboratory under contract No. W911NF-04-2-00-11. The first author also acknowledges the financial support received from Conselho Nacional de Desenvolvimento Cientifico e Tecnologico - CNPq/Brazil under contract No. 200372/2006-8.