Multiscale analysis of composite materials and structures

The manuscript presents a nonlinear multiscale computational procedure base d on the philosophy of multilevel methods and which exploits the similarity between the classical engineering global-local design practice and multile vel methods. Both approaches separate the system response into the global a nd local effects. While classical substructuring-based schemes separate the global and local effects on the basis of domain decomposition principles o ften resorting to intuition and understanding the physics of the problem, m ultilevel approaches, carry out de facto a spectral decomposition automatic ally as part of the solution process. Seven multiscale problems were consid ered to validate the present formulation. (C) 2000 Published by Elsevier Sc ience Ltd. All rights reserved.