Homogenization and effective properties formulations for propagation in finely structured laminates - a multi-resolution approach

Multi-re solution approach is used to derive homogenized (large scale) form ulation for propagation of waves in complex laminates. Basic entities such as boundary conditions, spatial and temporal spectrum (eigenvalues and reso nances), Wronskian, modal expansions, and Green function representations as sociated with the homogenized formulation are discussed. The relations betw een them and their generic (all-scales, or complete) counterparts are studi ed. The dependence of these relations on parameters such as excitation freq uency and heterogeneity length-scale are explored. (C) 2001 Elsevier Scienc e B.V. All rights reserved.