A Continuum Theory for Wave Propagation in Laminated Composites. Case 2: Propagation Parallel to the Laminates

摘要

A continuum theory with microstructure for wave propagation in laminated composites, proposed in a previous work concerning normal propagation, is extended herein to the case of propagation parallel to the laminates. Model construction is based upon an asymptotic scheme in which dominant signal wavelengths are assumed large compared to typical composite microdimensions. A hierarchy of models is defined by the order of truncation of the obtained asymptotic sequence. To estimate accuracy, the phase velocity spectrum is investigated. As in the previous case, retention of all terms in the asymptotic sequence is found to yield the exact spectrum of Rytov. Spectral collation of the lowest order dispersive theory with exact first mode data gives excellent agreement. Based upon asymptotic expansions, a simplified first-order theory is also developed. (Author)