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

Ben Zion Steinberg*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Multi-resolution approach is used to derive homogenized (large scale) formulation for propagation of waves in complex laminates. Basic entities such as boundary conditions, spatial and temporal spectrum (eigenvalues and resonances), Wronskian, modal expansions, and Green function representations associated with the homogenized formulation are discussed. The relations between them and their generic (all-scales, or complete) counterparts are studied. The dependence of these relations on parameters such as excitation frequency and heterogeneity length-scale are explored.

Original languageEnglish
Pages (from-to)319-337
Number of pages19
JournalWave Motion
Volume34
Issue number3
DOIs
StatePublished - Sep 2001

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